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Pearson Edexcel IAL Mathematics FP1.6.4 Inverse transformations & determinant scale factor

Practise using inverse matrices and determinants to reverse transformations and calculate how areas change under 2x2 matrices.

Syllabus
First assessment 2019
Course
Mathematics YMA01
Level
AS

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

FP1.6.4 - Inverse transformations and determinant scale factor question 1

[Maximum number: 2]
A=(−32−1212−32)\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′P^{\prime} is 20 square units, determine the area of parallelogram P

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