Question

Can someone help me with this practice problem * Consider the matrices. * Now what is the result of A - B?

Answer 1

We have the next two matrices:

`A=\begin{bmatrix}{4} & {7} & {} \\ {-3} & {8} & {} \\ {-5} & {-2} & {}\end{bmatrix}\text{ and }B=\begin{bmatrix}{-2} & {5} & {} \\ {7} & {-1} & {} \\ {-3} & {2} & {}\end{bmatrix}`

And we must calculate A - B.

when we have a matrix subtraction we know that

We can see that the matrices have the same number of rows and columns. So, we can subtract them.

Now, we must subtract the terms that occupy the same place in the matrices.

`A-B=\begin{bmatrix}{4-(-2)} & {7-5} & {} \\ {-3-7} & {8-(-1)} & {} \\ {-5-(-3)} & {-2-2} & {}\end{bmatrix}`

Finally, solving the interior subtractions we obtain

`A-B=\begin{bmatrix}{6} & {2} & {} \\ {-10} & {9} & {} \\ {-2} & {-4} & {}\end{bmatrix}`