Mathematics 4024 · O Level · Algebraic manipulation

Algebraic manipulation — practice question

(a)[2]

Express as a single matrix $3\begin{pmatrix}1 & 3 \\ -2 & 5\end{pmatrix} - \begin{pmatrix}4 & 0 \\ -1 & 2\end{pmatrix}$.

(b(i))[1]

Given $A = \begin{pmatrix}3 & -2 \\ p & -1\end{pmatrix}$ and the determinant of $A$ is $2$, find $p$.

(b(ii))[1]

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

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: The answer is $\begin{pmatrix}-1&9\\-5&13\end{pmatrix}$.

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