Answer:
Option A is correct.
Step-by-step explanation:
We need to find the difference of two matrices.
The matrices are:
[tex]\left[\begin{array}{cc}-4&8\\3&12\end{array}\right] - \left[\begin{array}{cc}2&1\\-14&15\end{array}\right][/tex]
We will subtract each row entry of Matrix 1 from the corresponding row entry of Matrix 2.
[tex]\left[\begin{array}{cc}-4-2&8-1\\3+14&12-15\end{array}\right]\\\left[\begin{array}{cc}-6&7\\17&-3\end{array}\right][/tex]
So, We get the answer
[tex]\left[\begin{array}{cc}-6&7\\17&-3\end{array}\right][/tex]
which matches Option A.
So, Option A is correct.
