Matrix transformations

Circle the matrix that represents an enlargement, scale factor 3, centre O.

O ABC is the unit square. O (0, 0) A (1, 0) B (1, 1) C (0, 1)

O ABC is mapped to O A ′ B ′ C ′ under a combined transformation of K followed by L.

Work out the coordinates of A ′, B ′ and C ′.

Matrix M represents a reflection in the line y = – x

Write down matrix M

Circle the transformation matrix that represents a reflection in the line y = – x

Use matrix multiplication to show that, in the x - y plane,

• a rotation, 90° anticlockwise about the origin, followed by

• a reflection in the line y = x

is equivalent to a reflection in the x-axis.