Mathematics 4024 · O Level · Algebraic manipulation

Algebraic manipulation — practice question

(a)[2]

Express as a single matrix: $2\begin{pmatrix}3 & -1 \\ 2 & 4\end{pmatrix} - \begin{pmatrix}1 & 3 \\ -2 & 5\end{pmatrix}$.

(b(i))[1]

$A = \begin{pmatrix}4 & k \\ 2 & 1\end{pmatrix}$. The determinant of $A$ is $10$. Find the value of $k$.

(b(ii))[1]

Find $A^{-1}$.

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