Mathematics 4024 · O Level · Algebraic manipulation

Algebraic manipulation — practice question

The inverse of matrix $A$ is $\frac{1}{20}\begin{pmatrix}m & 7\\-1 & k\end{pmatrix}$. Here, $m$ and $k$ are positive integers with $m<k$. The determinant of matrix $A$ equals $20$.
(main)[3]

Find the matrix $A$.

Worked solution & mark scheme

This 3-mark question has a full step-by-step worked solution and mark scheme. One marking point: The matrix is $\begin{pmatrix}13 & -7\\1 & 1\end{pmatrix}$.

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