Matrices - BasicsQuick View
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Matrices - Basics

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Lists introductory / basic properties of matrices. Useful as a topic overview / resource for secondary / high school course covering matrices. Designed for Queensland, Australia's senior secondary curriculum unit: General Mathematics - Matrices and matrix arithmetic. Document consists of definitions and examples relating to the following topics. - Matrices in general. - Square matrices, row and column vectors - Dimensions of a matrix - Matrix addition / subtraction / multiplication - The dot product / scalar product - The transpose of a matrix - Identity / zero matrices - Inverse matrices - Determinant of 2x2 and 3x3 matrices - Solving linear equations using inverse matrices - Matrix powers - General formulae for determinants
Proof of the Quadratic FormulaQuick View
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Proof of the Quadratic Formula

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Single page, self-contained proof of the Quadratic Formula using the method of completing the square. Suitable for senior secondary mathematics students.