Edexcel A-Level Mathematics AS Fp1 6 2 Applications of 2 2 Matrices Questions

Practise Edexcel IAL FP1.6.2 by identifying rotations, reflections, stretches and enlargements from 2×2 matrices and writing exact entries for each transformation.

Exam points

identify a single transformation from a 2×2 matrix, including stretches, reflections and enlargements about the origin
write exact 2×2 matrices for rotations and reflections, including surd entries
write the matrix for a stretch parallel to an axis with its stated scale factor

[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
$-60^{\circ}$ (anticlockwise) (Or $60^{\circ}$ clockwise
or $300^{\circ}$ (anticlockwise)) about (0,0)
(2)

All question bank results loaded

Edexcel A-Level Mathematics AS Fp1 6 2 Applications of 2 2 Matrices Questions question 1