Answer:
[tex]D = \left[\begin{array}{ccc}9&11\\-14&5\end{array}\right][/tex]
Step-by-step explanation:
To add two matrices you just need to add the corresponding entries together. In this case, we have that:
[tex]D + \left[\begin{array}{ccc}-1&-15\\0&7\end{array}\right] = \left[\begin{array}{ccc}8&-4\\-14&-12\end{array}\right].[/tex]
Solving for D:
[tex]D = \left[\begin{array}{ccc}8&-4\\-14&12\end{array}\right] - \left[\begin{array}{ccc}-1&-15\\-0&7\end{array}\right] = \left[\begin{array}{ccc}9&11\\-14&5\end{array}\right][/tex]
Then, the solution is the fourth option.
[tex]D=\left[\begin{array}{ccc}9&11\\-14&5\end{array}\right][/tex]
