Mathematics 0580 · IGCSE · Algebraic manipulation

Algebraic manipulation — practice question

Given that $M = \begin{pmatrix}5 & -3 \\ -1 & 2\end{pmatrix}$.
(a)[1]

Calculate $3M$.

(b)[2]

Calculate $M^{-1}$.

Worked solution & mark scheme

This 3-mark question has a full step-by-step worked solution and mark scheme. One marking point: The resulting matrix is $\begin{pmatrix} 15 & -9 \\ -3 & 6 \end{pmatrix}$

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