Tec — The Education Consultancy

Topics covered

• Matrices — definition, rows/columns, order, and equality; types of matrices (row, column, rectangular, square, zero, diagonal, scalar, identity, transpose, symmetric, skew-symmetric)
• Addition, subtraction, and scalar multiplication of matrices, with commutative and associative laws, additive identity and inverse
• Matrix multiplication — conformability, associative and distributive laws, and multiplicative identity
• The determinant of a square matrix — 2×2 and 3×3 expansion, singular and non-singular matrices
• Minors, co-factors, and the adjoint of a matrix
• The multiplicative inverse of a non-singular matrix using the adjoint method
• Solving systems of two linear equations using the matrix inversion method and Cramer's rule