Mathematics 4024 · O Level · Algebraic manipulation

Algebraic manipulation — practice question

Take $A = \begin{pmatrix}-2 & 1 \\ 4 & 3\end{pmatrix}$ and $B = \begin{pmatrix}3 & 2 \\ -1 & 1\end{pmatrix}$.
(a)[2]

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

(b)[2]

Find the product $AB$.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: Therefore, $\frac{1}{10}\begin{pmatrix}3&-1\\-4&-2\end{pmatrix}$

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