Mathematics 4024 · O Level · Algebraic manipulation

Algebraic manipulation — practice question

The matrix is given by $A = \begin{pmatrix} 3 & -1 \\ 2 & 0 \end{pmatrix}$.
(a)[2]

Find the inverse of $A$.

(b)[2]

From $AX = \begin{pmatrix} 7 \\ 4 \end{pmatrix}$, Find $X$.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: Hence $\frac12\begin{pmatrix}0&1\\-2&3\end{pmatrix}$.

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