Mathematics 4024 · O Level · Algebraic manipulation

Algebraic manipulation — practice question

Matrix $A$ is given by $A = \begin{pmatrix}2 & 1 \\ -3 & -2\end{pmatrix}$.
(a)[2]

Find the matrix $A^2$.

(b)[2]

Find the matrix $X$ that satisfies the equation $X \begin{pmatrix}2 & 1 \\ -3 & -2\end{pmatrix} = (0\; 2)$.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: Hence the identity matrix is $\begin{pmatrix}1&0\\0&1\end{pmatrix}$.

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