4.1 Definition of a matrix: the terms “element”, “row”, “column” and “order”.
4.2 Algebra of matrices: equality; addition; subtraction; multiplication by a scalar. Multiplication of matrices. Identity and zero matrices.
4.3 Determinant of a square matrix. Calculation of 2 × 2 and 3 × 3 determinants. Inverse of a 2 × 2 matrix. Conditions for the existence of the inverse of a matrix.
4.4 Solution of systems of linear equations using inverse matrices (a maximum of three equations in three unknowns).
7.7 Graphical behaviour of functions: tangents and normals, behaviour for large |x|, asymptotes. The significance of the second derivative; distinction between maximum and minimum points. Points of inflexion with zero and non-zero.