Mathematics 4024 · O Level · Algebraic manipulation

Algebraic manipulation — practice question

$A = \begin{pmatrix} 3 & 1 \\ -4 & 2 \end{pmatrix}$ and $A + 2B = \begin{pmatrix} 1 & 5 \\ 10 & 12 \end{pmatrix}$.

(a)[2]

Determine $B$.

(b)[2]

Determine $A^{-1}$.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: “$\begin{pmatrix} -1 & 2\\ 7 & 5\end{pmatrix}$” …