Pearson Edexcel IAL Mathematics FP1.5.3 Products of matrices

Practise multiplying matrices, finding powers such as A^2 or N^4, and giving final entries exactly in the required matrix form.

Exam points

determine matrix powers like A^2 or N^4, giving entries in exact integer or surd form

[Maximum number: 1]

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

Determine the matrix $\mathbf{A}^{2}$

$A^2= \left(\begin{smallmatrix} \frac12 & \frac{\sqrt3}{2}\\ -\frac{\sqrt3}{2} & \frac12 \end{smallmatrix}\right)$

B1

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