Representation of data by a matrix

Addition and multiplication of matrices

An understanding of ideas of how to perform row and column multiplication, of order not more than \(3 × 3\), for these operations will be expected

Multiplication of a matrix by a scalar

Unit (identity) matrix and zero (null) matrix

Of order not more than \(3 × 3\)

Determinants and inverses of non-singular \(2 × 2\) matrices

Knowledge of singular matrices is not required

Transformations of the plane associated with \(2 × 2\) matrices

Transformations include:

Reflections in \(x=0\), \(y=0\) and \(y=\pm x\)

Rotations about the origin

Enlargements with centre at the origin

Combination of transformations

The matrix \(\bold{AB}\) represents the transformation represented by \(\bold{B}\) followed by the transformation represented by \(\bold{A}\)