Pearson Edexcel IAL Mathematics FP1.6.2 Applications of 2 × 2 matrices

Practise recognising and forming 2 x 2 matrices for rotations, reflections, stretches and enlargements about the origin.

Exam points

describe a single geometrical transformation fully from its 2 x 2 matrix
write exact matrices for rotations, reflections, stretches and enlargements
use standard transformation matrices with exact entries

[Maximum number: 2]

\mathbf{A}=\left(\begin{array}{cc} -\frac{\sqrt{3}}{2} & -\frac{1}{2} \\ \frac{1}{2} & -\frac{\sqrt{3}}{2} \end{array}\right)

Describe fully the single geometrical transformation represented by the matrix $\mathbf{A}^{2}$

Rotation $-60^{\circ}$ (anticlockwise) about the origin

Rotation

M1

$-60^{\circ}$ (anticlockwise) (Or $60^{\circ}$ clockwise
or $300^{\circ}$ (anticlockwise)) about (0,0)

A1

(2)

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FP1.6.2 - Applications of 2 × 2 matrices question 1