Find the $2 \times 2$ matrix $\bold{A}$ such that

Question

\[\bold{A} \begin{pmatrix} 1 \\ 0 \end{pmatrix} = \begin{pmatrix} 1 \\ 2 \end{pmatrix}\]
and
\[\bold{A} \begin{pmatrix} 0 \\ 1 \end{pmatrix} = \begin{pmatrix} -7 \\ 4 \end{pmatrix}.\]

Answer 1

I do not know how to solve this, I am struggling, any help would be appreciated!