Mathematics 0580 · IGCSE · Algebraic manipulation

Algebraic manipulation — practice question

(a)[2]

Calculate $\begin{pmatrix}2 & -1 \\ 4 & 3\end{pmatrix}\begin{pmatrix}1 & 6 \\ -5 & 4\end{pmatrix}$.

(b)[2]

Find the value of x that makes the determinant of $\begin{pmatrix}3 & -1 \\ -7 & x\end{pmatrix}$ equal to 5.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: The resulting matrix is $\begin{pmatrix}7 & 8 \\ -11 & 36\end{pmatrix}$

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