Worksheet on the distributive law providing the (two-sided) definition, geometric interpretation (over the real numbers) and problems with corresponding solutions. Designed for junior or senior secondary mathematics students.
Worksheet on the distributive law providing the (two-sided) definition, geometric interpretation (over the real numbers) and problems with corresponding solutions. Designed for junior or senior secondary mathematics students.
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
Single page, self-contained proof of the Quadratic Formula using the method of completing the square.
Suitable for senior secondary mathematics students.