Question

Subtract the matrices given below. which of the following images shows the difference of the matrices.

Answer 1

Step-by-step explanation

Let's call the given matrix A and B. Therefore,

`A=\begin{bmatrix}{-6} & {8} & {2} & {-3} \\ {4} & {-5} & {10} & {7}\end{bmatrix}\text{ and B=}\begin{bmatrix}{-7} & {8} & {10} & {7} \\ {6} & {-4} & {-9} & {5}\end{bmatrix}`

Therefore,

`A-B\text{ ex}ist\text{ because both matrix are conformable( have the same dimensions)}`

We will subtract the matrix element by element

`\begin{gathered} A-B=\begin{bmatrix}{-6-(-7)} & {8-8} & {2-10} & {-3-7} \\ {4-6} & {-5-(-4)} & {10-(-9)} & {7-5}\end{bmatrix} \\ A-B=\begin{bmatrix}{1} & {0} & {-8} & {-10} \\ {-2} & {-1} & {19} & {2}\end{bmatrix} \end{gathered}`

Answer:

`A-B=\begin{bmatrix}{1} & {0} & {-8} & {-10} \\ {-2} & {-1} & {19} & {2}\end{bmatrix}`