Correct answer is\(\begin{pmatrix} 3 & -2 \\ 5 & 6 \\ \end{pmatrix}\)
\(\begin{pmatrix} 3 & -2 \\ 5 & 6 \\ \end{pmatrix}\) + 2A = \(\begin{pmatrix} 5 & 6 \\ -7 & 10 \\ \end{pmatrix}\)
⇒ 2A = \(\begin{pmatrix} 5 & 6 \\ -7 & 10 \\ \end{pmatrix}\) - \(\begin{pmatrix} 3 & -2 \\ 5 & 6 \\ \end{pmatrix}\)
⇒ 2A = \(\begin{pmatrix} 2 & 8 \\ -12 & 4 \\ \end{pmatrix}\)
Dividing the matrix by 2
A = \(\begin{pmatrix} 1 & 4 \\ -6 & 2 \\ \end{pmatrix}\)