Quick questions on Matrices: determinants, inverses, transformations and linear systems - Edexcel A-Level Further Maths

3short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.

What is q1?

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Find the determinant of

\begin{pmatrix} 5 & 2 \\ 3 & 4 \end{pmatrix}

and state whether it is invertible. [2 marks]

What is q2?

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Solve

\begin{pmatrix} 2 & 1 \\ 1 & 3 \end{pmatrix}\begin{pmatrix} x \\ y \end{pmatrix} = \begin{pmatrix} 5 \\ 5 \end{pmatrix}

using the inverse. [4 marks]

What is q3?

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The matrix

\begin{pmatrix} 1 & 3 \\ 0 & 1 \end{pmatrix}

represents a shear. Find its invariant points. [3 marks]

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