(a)[2]
Find the inverse matrix of $\begin{pmatrix}2&-3\\5&-4\end{pmatrix}$.
(b)[4]
The matrix $\begin{pmatrix}w&-9\\4&w-12\end{pmatrix}$ is singular. Calculate the value of $w$.
Mathematics 0580 · IGCSE · Algebraic manipulation
Algebraic manipulation — practice question
Worked solution & mark scheme
This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “The inverse is $\frac{1}{7}\begin{pmatrix}-4 & 3\\-5 & 2\end{pmatrix}$.” …
- Full mark scheme, point by point
- Step-by-step worked solution
- Write your answer & get it marked instantly by AI