Edexcel A-Level Mathematics AS Fp1 6 4 Inverse Transformations and Determinant Scale Factor Questions

Practise Edexcel IAL FP1.6.4 by calculating inverse matrices to recover original shapes and using determinant scale factors to relate transformed and original areas.

Exam points

use det M as an area scale factor to find the original or transformed area of a shape
calculate an inverse matrix for a transformation that maps an image back to the original shape

[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)

Given that the area of parallelogram $P^{\prime}$ is 20 square units, determine the area of parallelogram P

$\det C=(-2\sqrt3)\left(-\frac{\sqrt3}{2}\right)-\frac12(-2)=4$ $\text{Area of }P=\frac{20}{\det C}=5$

All question bank results loaded

Edexcel A-Level Mathematics AS Fp1 6 4 Inverse Transformations and Determinant Scale Factor Questions question 1