Mathematics 0580 · IGCSE · Algebraic manipulation

Algebraic manipulation — practice question

The matrices are defined by $A = \begin{pmatrix} 3 & 2 \\ -5 & 0 \end{pmatrix}$, $B = \begin{pmatrix} -2 & 5 \\ 4 & 1 \end{pmatrix}$ and $C = (-1\ \ k)$.
(a)[2]

Find the product $AB$.

(b)[2]

Find $k$.

(c)[2]

Find the inverse $A^{-1}$.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: The matrix $\begin{pmatrix}2 & 17 \\ 10 & -25\end{pmatrix}$.

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