Mathematics 4024 · O Level · Algebraic manipulation

Algebraic manipulation — practice question

The matrices $A=\begin{pmatrix}2 & 0 \\ 4 & -1\end{pmatrix}$ and $B=\begin{pmatrix}2 & -1 \\ 6 & -1\end{pmatrix}$ are provided.
(a(i))[2]

Calculate the product $BA$.

(a(ii))[2]

Calculate $B^{-1}$.

(b)[2]

Given that $A+2C=3B$, find $C$.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “The matrix $\begin{pmatrix}0&1\\8&1\end{pmatrix}$” …

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