In Exercises 9 - 16, find the following matrices: b. A - B
...

Question

In Exercises 9 - 16, find the following matrices: b. A - B

Matrices A and B for exercise 14 in college algebra, showing A = [6 2 -3] and B = [4 -2 3].

Accepted Answer

Hey everyone here we are asked to perform the following matrix operation A minus B. Now to solve this problem, we are looking for this new matrix here A minus B. So the first step is to just plug in the given matrices corresponding to each variable. So first we have A and A. Is the one by three matrix with the the values 56 and negative seven. And then we take minus B. And B has the values eight negative nine and positive 10. So now from here all we have to do is subtract each value from the matrix corresponding to the second matrix. So what I mean here is first we're going to take the first value from A which is five and then we subtract it from the first value of B which in this case is eighth. And so we repeat this with the the rest of the values. So next we take the second value six minus the second value of B which is negative nine. And next we take the third value of a which is negative seven and subtract it from the third value in B which is 10. And now all we have to do is simplify. So we find that a minus B is equal to the one by three. Matrix matrix of five minus eight which gives us negative 36 minus negative nine gives us positive 15 and finally negative seven minus 10 is negative 17. And this is our final answer here of answer choice C with the one by three matrix of negative 3 15 and negative 17. Thanks for watching. I hope you found this video helpful, and I'll see you again next time.

In Exercises 9 - 16, find the following matrices: b. A - B

Key Concepts

Matrix Representation

Matrix Subtraction

Element-wise Operations

Watch next