Question

What is the difference of the matrices shown below?

Answer 1

Answer:

Option A is correct.

Step-by-step explanation:

We need to find the difference of two matrices.

The matrices are:

$\left[\begin{array}{cc}-4&8\\3&12\end{array}\right] - \left[\begin{array}{cc}2&1\\-14&15\end{array}\right]$

We will subtract each row entry of Matrix 1 from the corresponding row entry of Matrix 2.

$\left[\begin{array}{cc}-4-2&8-1\\3+14&12-15\end{array}\right]\\\left[\begin{array}{cc}-6&7\\17&-3\end{array}\right]$

So, We get the answer

$\left[\begin{array}{cc}-6&7\\17&-3\end{array}\right]$

which matches Option A.

So, Option A is correct.

Answer 2

Answer:

A

Step-by-step explanation:

Subtract corresponding elements in second matrix from first matrix, that is

$\left[\begin{array}{ccc}-4-2&8-1&\\3-(-14)&12-15&\\&&\end{array}\right]$

= $\left[\begin{array}{ccc}-6&7&\\17&-3&\end{array}\right]$