Mathematics 4024 · O Level · Algebraic manipulation

Algebraic manipulation — practice question

The matrix is $A = \begin{pmatrix}2 & -1 \\ 1 & 3\end{pmatrix}$.

(a)[2]

Evaluate the expression $3A - 2\begin{pmatrix}3 & 1 \\ -2 & 0\end{pmatrix}$.

(b)[2]

Find the value of $A^{-1}$.

(c)[1]

Write down the single matrix that is equal to $A^{-1}A$.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “ $\begin{pmatrix}0&-5\\7&9\end{pmatrix}$” …