I have over 10 years teaching experience as a teacher of Mathematics, 2-years as a teacher of ICT,
acquired experience with SEN.
I am also a member of the board of the Oxford and Cambridge Assessment Specialist Team
(CIE/OCR/AQA Assistant Examiner).
Besides, my experiences with the St Benet Biscop Catholic Academy (Secondary Teacher of
Mathematics); Newcastle Royal Grammar School- (Secondary Mathematics, IGCSE and A-Level
Visiting Lecturer).
Sunderland College -GCSE Mathematics Lecturer
I have over 10 years teaching experience as a teacher of Mathematics, 2-years as a teacher of ICT,
acquired experience with SEN.
I am also a member of the board of the Oxford and Cambridge Assessment Specialist Team
(CIE/OCR/AQA Assistant Examiner).
Besides, my experiences with the St Benet Biscop Catholic Academy (Secondary Teacher of
Mathematics); Newcastle Royal Grammar School- (Secondary Mathematics, IGCSE and A-Level
Visiting Lecturer).
Sunderland College -GCSE Mathematics Lecturer
Transformation 1, Translation, Reflection and Enlargement Remix: IGCSE Exam Style Questions on Transformation
Transformation means changing some graphics into something else by applying rules. … When a transformation takes place on a 2D plane, it is called 2D transformation. Transformations play an important role in computer graphics to reposition the graphics on the screen and change their size or orientation.
* Presentation – Complete video for teachers and learners on Transformation
* IGCSE Practice Revision Exercise which covers all the related concepts required for students to unravel any IGCSE Exam Style Transformation Questions
* Learner will be able to say authoritatively that:
I can solve any given question on Transformation Centre 0,0
I can solve any given question on Transformation Centre (x, y/ x, y⋲ℝ)
I can solve any given question on Translation.
I can solve any given question on Reflection.
I can solve any given question on Enlargement.
I can solve any given question on Describing Reflection and Enlargement.
I can solve any given question on Combined and Repeated Transformation
* GCSE, IGCSE, AP, PSAT, and IB - Exam Style Questions which covers all the related concepts required for students to unravel any International Exam Style trigonometric graphs Questions
* Learner will be able to say authoritatively that:
I can complete any question on how to determine the parameter for a given graph of a trigonometric function
Sketch or complete the graph for any given sine function
Sketch or complete the graph for any given cosine function
Sketch or complete the graph for any given tangent function
Understand the real-life applications of graph of a trigonometric function
Why do we need to know what trigonometric graphs look like?
• Trigonometric Graphs are used in various applications of mathematics – for example, the oscillating nature can be used to model how a pendulum swings
Drawing graphs – trig graphs
• As with other graphs, being familiar with the general style of trigonometric graphs will help you sketch them quickly and you can then use them to find values or angles alongside your calculator
• All trigonometric graphs follow a pattern – a “starting point” and then “something happens every 90°”.
Do you know? The computer imaging, something that is used nowadays for creating animations, video games, designing, and stuff like that, are created using geometric concepts. Also, geometry is used in mapping. Mapping is an essential element in professions such as surveying, navigation, and astronomy.
* Presentation – Complete video for teachers and learners on Similarity
* GCSE, IGCSE, AP, PSAT, and IB - Exam Style Questions which covers all the related concepts required for students to unravel any International Exam Style Similarity and Congruency Questions
* Learner will be able to say authoritatively that:
I can solve any Mathematical problem involving Congruent Shapes
I can solve any Mathematical problem involving Similar Shapes
I can apply similarity to model a real life situation and the various field of study: Engineering, Art and Design, Construction, etc…
I can solve any given question on Combined Similarity: Volume, Area, Standard Dimensions…
I can find the scale factor given any object or image parameter
I can use a given scale model to find unknown parameter of any similar shape and also apply the concepts in all field of studies: Construction, Cryptographer, Actuary, Astronomy, Physical Science, Biological Science, Astrophysics, etc….
* GCSE, IGCSE, AP, PSAT, and IB - Exam Style Questions which covers all the related concepts required for students to unravel any International Exam Style Statistics Questions
Do you know that Statistics is the mathematical science involving the collection, analysis and interpretation of data?
It plays a crucial role in every field of human activity.
They are numerically expressed facts to represent and speculate the samples using logical reasoning.
Statistics is a varied subject, and there are many other uses of it in different fields related to daily human activities.
Few other examples are weather forecasting; communicate information, data analysis, etc.
If you are a statistics student, then you can decide your field you want to opt for according to your interest.
Statistics are used behind all the medical study.
Statistic help doctors keep track of where the baby should be in his/her mental development.
Almost all fields of science such as biology, chemistry, physics, etc., use statistical methods for experimenting and analyzing their results.
In biology, it is used in biostatistics, biometrics, which includes investigating medicines, pharmacy, agriculture, fishery, etc.
Same way, probability theory is used in physics while estimating a large population; results of thermodynamics use statistical tools.
Sociology is also based on the subject of analyzing and interprets data and test hypotheses.
Statistics is a varied subject, and there are many other uses of it in different fields related to daily human activities.
Few other examples are weather forecasting; communicate information, data analysis, etc.
If you are a statistics student, then you can decide your field you want to opt for according to your interest.
* GCSE, IGCSE, AP, PSAT, and IB - Exam Style Questions which covers all the related concepts required for students to unravel any International Exam Style Statistics Questions
Do you know that Statistics is the mathematical science involving the collection, analysis and interpretation of data?
It plays a crucial role in every field of human activity.
They are numerically expressed facts to represent and speculate the samples using logical reasoning.
Statistics is a varied subject, and there are many other uses of it in different fields related to daily human activities.
Few other examples are weather forecasting; communicate information, data analysis, etc.
If you are a statistics student, then you can decide your field you want to opt for according to your interest.
Statistics are used behind all the medical study.
Statistic help doctors keep track of where the baby should be in his/her mental development.
Almost all fields of science such as biology, chemistry, physics, etc., use statistical methods for experimenting and analyzing their results.
In biology, it is used in biostatistics, biometrics, which includes investigating medicines, pharmacy, agriculture, fishery, etc.
Same way, probability theory is used in physics while estimating a large population; results of thermodynamics use statistical tools.
Sociology is also based on the subject of analyzing and interprets data and test hypotheses.
Statistics is a varied subject, and there are many other uses of it in different fields related to daily human activities.
Few other examples are weather forecasting; communicate information, data analysis, etc.
If you are a statistics student, then you can decide your field you want to opt for according to your interest.
Do you know? Calculus is used to improve the architecture not only of buildings but also of important infrastructures such as bridges.
In Electrical Engineering, Calculus (Integration) is used to determine the exact length of power cable needed to connect two substations, which are miles away from each other
Physics Engines, Signal & Image Processing, Computer Vision, Information Theory
In calculus, and more generally in mathematical analysis, integration by parts or partial integration is a process that finds the integral of a product of functions in terms of the integral of the product of their derivative and anti-derivative
* Presentation – Complete video for teachers and learners on Integration by Part
* IGCSE, GCSE, IB, AP Practice Revision Exercise which covers all the related concepts required for students to unravel any Exam Style Integration by Part Questions
* Learner will be able to say authoritatively that:
I can complete any given problem on Integration by part: ranging from ‘O’-Level questions to the PhD level using the LIATE-principle.
LIATE is a guide to help you decide which term to differentiate and which term to integrate. L = Log, I = Inverse Trig, A = Algebraic, T = Trigonometric, E = Exponential. The term closer to E is the term usually integrated and the term closer to L is the term that is usually differentiated.
I can apply my knowledge of calculus to any given function
Do you know? Meteorologist uses Vectors to map out Weather Patterns…. Vectors are primarily used within the programming context of most programming languages and serve as data structure containers. Being a data structure, vectors are used for storing objects and collections of objects in an organized structure. Vectors can be used in softball to measure hits as well as pitches. When a ball is hit to the outfield, it has direction, speed, and distance. The speed and direction of pitches can also be measured using vectors.
Presentation – Complete video and Board Work for teachers and learners on Vectors
* GCSE, IGCSE, AP, PSAT Practice Revision Exercise which covers all the related concepts required for students to unravel any IGCSE Exam Style Vectors Questions
* Learner will be able to say authoritatively that:
I can solve any given question on Vectors Geometry
I can solve any questions involving applications of Vectors properties.
https://www.tes.com/teaching-resources/shop/alukosayoenoch
https://www.youtube.com/feed/my_videos
* Presentation – Complete Board Work and video for teachers and learners on Numbers and Systems
* Checkpoint Primary and Secondary / GCSE / IGCSE/ SAT/ PSAT/ AP/ AISL Practice Revision Exercise which covers all the related concepts required for students to unravel any Checkpoint Exam Style Number Systems Questions
The number system that we use in our day-to-day life is the decimal number system. Decimal number system has base 10 as it uses 10 digits from 0 to 9. In decimal number system, the successive positions to the left of the decimal point represent units, tens, hundreds, thousands, and so on.* Learner will be able to say authoritatively that I can solve any problem involving:
Use Numbers in Practical Situations
The Decimal Number System
Terminating and Recurring Decimals
Changing Recurring Numbers to Fraction
Rational and Irrational Numbers
Types of Numbers (Natural , Whole , Integer , Rational , Irrational , Cube , Square , Prime , Composite etc)
Number Systems is crucial for understanding the processing of digital system. Digital system takes binary, octal & hexadecimal number as input and process it and generates output. The most common application for the binary number system can be found in computer technology. All computer language and programming is based on the 2-digit number system used in digital encoding. Digital encoding is the process of taking data and representing it with discreet bits of information.
Coding education and robotic applications are integrated or being integrated into education system for students at early ages all around the world. Consequently, the importance of coding education and robotic applications for achieving 21st-century and millennial goals cannot be over emphasised. A growing number of countries, in Europe and beyond, have established clear policies and frameworks for introducing computational thinking (CT) and computer programming to young children
Now, there is a need for students to acquire skills for producing solutions to problems, develop new ideas in an area of profession, human sciences and social sciences by using computer sciences and applications beginning from early childhood education. Middle school students playing video games are hardly news. But when the students are playing games they’ve built from “Scratch,” the story takes a turn. To this effect, there is a “Call for all to create our Dream World”
https://scratch.mit.edu/users/alukosayoenoch/
An intelligent virtual assistant (IVA) or intelligent personal assistant (IPA) is a software agent that can perform tasks or services for an individual based on commands or questions.
Artificial Intelligence (AI) machinery has recently enthralled awareness for its prospective in civilizing various fields, including Education.
In summary, AI has been shown to be capable of improving quality of education by enhancing conventional learning and teaching approaches.
The use of AI in education can help automate the grading and assessment of activities like multiple choice questions, fill in the blanks, etc.
Another tedious and cumbersome activity for teachers is preparing the report cards of students.
The use of artificial intelligence in education can help automate this as well.
• Furthermore, Artificial intelligence-related solutions can adapt to the education level of students, learning speed, and recent educational targets. Various students need assistance outside their classroom
• AI shows great potential in automating administrative work and making the tasks of organizations and professors easier
To access more Maths, ICT and videos on Robotic and Coding: For Free Resources, videos, Board Works and code blocks:
https://www.amazon.com/Sayo-Enoch-Aluko/e/B092ZZD72B%3Fref https://www.tes.com/teaching-resources/shop/alukosayoenoch https://www.youtube.com/c/SayoEnochAluko/videos
* GSCE, IGCSE, IB, PSAT, and AISL - Exam Style Questions which covers all the related concepts required for students to unravel any International Exam Style Approximation and Estimation Questions [Upper and Lower Bound]
* Learner will be able to say authoritatively that:
I can solve any given Rounding Questions:
Estimate numbers using rounding, decimal places and significant figures. …To estimate means to make a rough guess or calculation. To round means to simplify a known number by scaling it slightly up or down. Rounding is a type of estimating. Both methods can help you make educated approximations and can be used in everyday life for tasks related to money, time or distance.
While accurate estimates are the basis of sound project planning, there are many techniques used as project management best practices in estimation as - Analogous estimation, Parametric estimation, Delphi method, 3 Point Estimate, Expert Judgement, Published Data Estimates, Vendor Bid Analysis, Reserve Analysis, Bottom
I understand and can apply Upper and Lower Bound concepts in all fields of studies:
Upper and lower bounds are useful to find best case running time and worst case running time of an algorithm. In general lower bound means the best case running time and upper bound means the worst case running time… N.B- For complete lecture on Approximation and Estimation, click the link this: https://youtu.be/z6GKSUYDYoY
For more Maths, AddMaths, ICT, Robotic and Coding, click any of the links below:
https://www.amazon.com/Sayo-Enoch-Aluko/e/B092ZZD72B%3Fref
https://www.tes.com/teaching-resources/shop/alukosayoenoch
https://www.youtube.com/c/SayoEnochAluko/videos
The Revised Syllabus for Examination 2022-2024
Cambridge Assessment International Education
Practice Questions
Cambridge IGCSE
Mathematics 0580
To accompany the revised syllabus for examination from 2022_2024
Questions Featured in this Video:-
Trigonometry Graph
Probability: Tree Diagram to complete questions involving Bayes Theorem, Conditional Probability and Contingency Table
Applications of Differentiation
Cumulative Frequency Curve
Functions
The Author decided to feature the remaining topics below in a separate video
IGCSE Maths 0580 Practice Questions 2020 2022 Revised Syllabus Part1
https://youtu.be/HJj5UvpksoU
IGCSE Maths 0580 Practice Questions 2020 2022 Revised Syllabus Part2 https://youtu.be/cfAGHNSX2XE
Tree Diagram [Click the link: https://youtu.be/s4SJCC94H3c]
Applications of Differentiation [Click the link: https://youtu.be/f6n4YeDI4pc]
Sketch graphs of trigonometric functions [Click the link: https://youtu.be/2nV0ftvVhP4]
Conditional probability [Click the link: https://youtu.be/s4SJCC94H3c]
Stem-and-leaf diagrams [Click the link: https://youtu.be/fuIh_ZM8Otc]
Box-and-whisker plots [Click the link: https://youtu.be/t3B2MKRXB8Y]
To access more Maths, ICT and videos on Robotic and Coding:
[Click the link: https://www.youtube.com/channel/UCzF5saLKU8CxfOqnY-TvHmA/videos]
For Free Resources: Videos, Board Works and Code Script/Blocks:
[Click the link: https://www.tes.com/teaching-resources/shop/alukosayoenoch]
#mathematics #education #students #edtech #schools #igcse #stem #teaching #elearning #teachers #college #backtoschool
#virtualclassrooms #educative #algebra #video #workshop #highereducation
The Revised Syllabus for Examination 2022-2024
Cambridge Assessment International Education
Practice Questions
Cambridge IGCSE
Mathematics 0580
To accompany the revised syllabus for examination from 2022_2024
Questions Featured in this Video:-
Geometry and Measure-3D, Volume, Surface Area, Density
Vectors: Position Vectors, Vectors Geometry, Route Inspection
Three Dimensional Problems: Orthogonal Projection, Elevation and Depression, Trigonometry
Algebra: Geometrical Word Problem
The Author decided to feature the remaining topics below in a separate video
IGCSE Maths 0580 Practice Questions 2020 2022 Revised Syllabus Part1
https://youtu.be/HJj5UvpksoU
IGCSE Maths 0580 Practice Questions 2020 2022 Revised Syllabus Part2 https://youtu.be/cfAGHNSX2XE
Tree Diagram [Click the link: https://youtu.be/s4SJCC94H3c]
Applications of Differentiation [Click the link: https://youtu.be/f6n4YeDI4pc]
Sketch graphs of trigonometric functions [Click the link: https://youtu.be/2nV0ftvVhP4]
Conditional probability [Click the link: https://youtu.be/s4SJCC94H3c]
Stem-and-leaf diagrams [Click the link: https://youtu.be/fuIh_ZM8Otc]
Box-and-whisker plots [Click the link: https://youtu.be/t3B2MKRXB8Y]
To access more Maths, ICT and videos on Robotic and Coding:
[Click the link: https://www.youtube.com/channel/UCzF5saLKU8CxfOqnY-TvHmA/videos]
For Free Resources: Videos, Board Works and Code Script/Blocks:
[Click the link: https://www.tes.com/teaching-resources/shop/alukosayoenoch]
#mathematics #education #students #edtech #schools #igcse #stem #teaching #elearning #teachers #college #backtoschool
#virtualclassrooms #educative #algebra #video #workshop #highereducation
Applications of Coordinate Geometry/Coding for Kids using Scratch Programming
Explore Coding for Kids with Aluko Scratch Studio
https://scratch.mit.edu/studios/30094842/
To explore and play the game live:
https://scratch.mit.edu/projects/554131047/fullscreen/
To navigate within the space region, use up, down, left and right arrow for direction accordingly.
You are to avoid the ghost from touching you.
You have got five lives altogether and you loose life for every contact with the Ghost.
You increase your point by targeting the Ghost with a thunder bolt shot.
Use space bar key to create clones of thunder bolt and target the intruder accordingly.
Explore more eLearning Resources on my YouTube:
https://www.youtube.com/.../UCzF5saLKU8CxfOqnY-TvHmA/videos
Download eLearning Resources, Board Works and more on my TES-SHOP:
https://www.tes.com/teaching-resources/shop/alukosayoenoch
You can also visit my amazon page for more:
https://www.amazon.com/~/e/B092ZZD72B
#codingforkids #anime #gaming #educative #innovativethinking #artificialintelligence #mathskills #entertainment #stem #schools #teaching #students #animation #teachers #app #scratch #videoproduction
#automation #innovation #creativityskills #socialmedia
#jobcreation #empowerment #privatisation #developmental
Game Development: Have you ever wanted to make your own game? Chances are that if you do then you’ll need to know at least some trigonometry. It’s used in many aspects of game development. Whether you want to design a character, make them move or design the environment they will move in, you’ll need to learn trigonometry. Other applications include: Architecture and Engineering, Music Theory and Production, Electrical Engineers and Manufacturing Industry, Sounds and Light Waves, Oceanography, Creation of maps.
For instance, Astronomers use trigonometry to calculate how far stars and planets are from Earth. Trigonometry technique is also used by NASA scientists today when they design and launch space shuttles and rockets.
* GCSE, IGCSE, AP, IB-HL Practice Revision Exercise which covers all the related concepts required for students to unravel any International Exam Style Graphing Trigonometry Function Questions
* Learner will be able to say authoritatively that:
I can complete any question on how to determine the parameter for a given graph of a trigonometric function
Sketch or complete the graph for any given sine function
Sketch or complete the graph for any given cosine function
Sketch or complete the graph for any given tangent function
Understand the real-life applications of graph of a trigonometric function
https://www.tes.com/teaching-resources/shop/alukosayoenoch https://www.amazon.com/~/e/B092ZZD72B https://studio.youtube.com/channel/UCzF5saLKU8CxfOqnY-TvHmA/videos
https://scratch.mit.edu/users/alukosayoenoch/
#teachers #students #education #eLearning
The importance of robotics has been rapidly increasing for decades.
Robotic competitions have emerged to prepare students to work and design complicated advanced robots. One of the simplest types of these robots is the line follower and obstacle avoidance robot, the very concept used to develop this Game.
Mobile robot is an autonomous agent capable of navigating intelligently anywhere using sensor-actuator control techniques. The applications of the autonomous mobile robot in many fields such as industry, space, defence and transportation, and other social sectors are growing day by day. The mobile robot performs many tasks such as rescue operation, patrolling, disaster relief, planetary exploration, and material handling, etc.
The blue car, is a Bot, which uses the concepts of “unsupervised machine learning” control mechanism. That is, it starts on its own, decides its own way of work, turn speed, move speed and stops on its own.
The Bot/blue car, travels along a line track set to be invisible using ghost effect, the direction or track path is controlled by a feed back mechanism or obstacle avoidance sensors; unlike the red car which is user control.
Game Concepts Applications:
• Industrial Applications: These robots can be used as automated equipment carriers in industries replacing traditional conveyer belts.
• Automobile applications: These robots can also be used as automatic cars running on roads with embedded magnets.
• Domestic applications: These can also be used at homes for domestic purposes like floor cleaning etc.
• Guidance applications: These can be used in public places like shopping malls, museums etc to provide path guidance.
Advantages:
• Robot movement is automatic
• It is used for long distance applications
• Simplicity of building
• Fit and forget system
• Used in home, industrial automations etc
Explore Coding for Kids with Aluko Scratch Studio
https://scratch.mit.edu/studios/30094842/
To explore the Game live: https://scratch.mit.edu/projects/564317069
I will publish the video on how to create the same on my YouTube Channel on September 1, 2021.
https://www.youtube.com/channel/UCzF5saLKU8CxfOqnY-TvHmA/videos
You can also visit my amazon page for more:
https://www.amazon.com/~/e/B092ZZD72B
Applications of Coordinate Geometry/Coding for Kids using Scratch Programming
Math is an absolute fundamental foundation to successful game development and game design. Math is everything when it comes to games.
Linear Algebra is the foremost discipline for 3-D graphics programming simply because it’s the mathematical language for describing spatial geometry. Your other three topics are really just subsets of linear algebra: Vectors are a way of thinking about points in space.
In no particular order: Calculus, Linear Algebra, Discrete Math, Game theory, General Mechanics, Probability and Statistics. Calculus and Linear are mainly for 3-D (Vector) Math, which can be incredibly important for doing stuff like jump arcs, weapon speed and other stuff. Discrete Math is basically all about logic.
To download the code block and explore/play the Game live via my mit.edu platform:
https://scratch.mit.edu/users/alukosayoenoch/
https://scratch.mit.edu/projects/625501733/fullscreen/
Explore Coding for Kids with Aluko Scratch Studio:
https://scratch.mit.edu/studios/30094842/
https://www.amazon.com/Sayo-Enoch-Aluko/e/B092ZZD72B%3Fref
https://www.tes.com/teaching-resources/shop/alukosayoenoch
https://www.youtube.com/c/SayoEnochAluko/videos
Notes and Credits
It is based on the popular manga and anime series Naruto by Masashi Kishimoto, and the first instalment of the Naruto: Ultimate Ninja series on the PS3
Naruto: Ultimate Ninja Storm
Series Naruto: Ultimate Ninja
Platform(s) PlayStation 3, Microsoft Windows, PlayStation 4, Xbox One & Nintendo Switch
Applications of Coordinate Geometry/Coding for Kids using Scratch Programming
Math is an absolute fundamental foundation to successful game development and game design. Math is everything when it comes to games.
Linear Algebra is the foremost discipline for 3-D graphics programming simply because it’s the mathematical language for describing spatial geometry. Your other three topics are really just subsets of linear algebra: Vectors are a way of thinking about points in space.
In no particular order: Calculus, Linear Algebra, Discrete Math, Game theory, General Mechanics, Probability and Statistics. Calculus and Linear are mainly for 3-D (Vector) Math, which can be incredibly important for doing stuff like jump arcs, weapon speed and other stuff. Discrete Math is basically all about logic.
To download the code block and explore/play the Game live via my mit.edu platform:
https://scratch.mit.edu/users/alukosayoenoch/
https://scratch.mit.edu/projects/625501733/fullscreen/
Explore Coding for Kids with Aluko Scratch Studio:
https://scratch.mit.edu/studios/30094842/
https://www.amazon.com/Sayo-Enoch-Aluko/e/B092ZZD72B%3Fref
https://www.tes.com/teaching-resources/shop/alukosayoenoch
https://www.youtube.com/c/SayoEnochAluko/videos
Notes and Credits
It is based on the popular manga and anime series Naruto by Masashi Kishimoto, and the first instalment of the Naruto: Ultimate Ninja series on the PS3
Naruto: Ultimate Ninja Storm
Series Naruto: Ultimate Ninja
Platform(s) PlayStation 3, Microsoft Windows, PlayStation 4, Xbox One & Nintendo Switch
#coding #programming #gamedevelopment #microsoft #design #studentsupport #teachers #schooleducation #mathskills #educator #stemeducation #stemcareers #globaleducation #developers #programmers #funactivities #codingforkids #virtualeducation #internationaleducation #anime #designeducation #ai #schools #mit #enhancinglives #2dgame #statistics #geometry #algebra #windows #language #lovelearning #funlearning #creativityskills #icts #technologyeducation
#scratch #robotics #automation #innovativethinking #inspiring #like
* Presentation – Complete video and Worksheet for teachers and learners on Transformation Matrix: Applications and Describing Reflection, Enlargement and Rotation
* IGCSE, GCSE, IB, AP Practice Revision Exercise which covers all the related concepts required for students to unravel any IGCSE Exam Style Transformation Questions
* Learner will be able to say authoritatively that:
I can solve any given question involving describing transformation matrix
I can apply transformation matrix to produce the image from any given 2-D object
I can solve any given question on describing Transformation.
I can solve any given question on Combined and Repeated Transformation
Graphic software uses matrix mathematics to process linear transformations to render images. In robotics, Homogeneous Transformation Matrices (HTM) have been used as a tool for describing both the position and orientation of an object and, in particular, of a robot or a robot component. Engineers use matrices to model physical systems and perform accurate calculations needed for complex mechanics to work. Electronics networks, airplane and spacecraft, and in chemical engineering all require perfectly calibrated computations which are obtained from matrix transformations