Mathematics 4024 · O Level · Algebraic manipulation

Algebraic manipulation — practice question

(a)[2]

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

(b)[2]

Find the inverse matrix of $\begin{pmatrix}\frac{1}{2} & 1 \\ 0 & 1\end{pmatrix}$.

(c)[2]

Find the matrix $X$ that satisfies $X\begin{pmatrix}3 & 2\end{pmatrix} = \begin{pmatrix}6 & 4\\ -3 & -2\end{pmatrix}$.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: The matrix is $\begin{pmatrix}5&-5\\-4&4\end{pmatrix}$.

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