(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.
Mathematics 0580 · IGCSE · Algebraic manipulation
Calculate $\begin{pmatrix}2 & -1 \\ 4 & 3\end{pmatrix}\begin{pmatrix}1 & 6 \\ -5 & 4\end{pmatrix}$.
Find the value of x that makes the determinant of $\begin{pmatrix}3 & -1 \\ -7 & x\end{pmatrix}$ equal to 5.
This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: “The resulting matrix is $\begin{pmatrix}7 & 8 \\ -11 & 36\end{pmatrix}$” …