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

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

Matrices A and B for exercise 13 in college algebra, showing their elements for subtraction.

Accepted Answer

Hey everyone here we are asked to perform the matrix operation A minus B. Now our first step here is to simply substitute in the given matrices to their corresponding variable. So first we have matrix A. And it is give even as a three by one matrix with the values five negative six and two. And then we have minus matrix B which is also a three by one matrix with the values negative 70 and negative three. So next we just have to subtract each value from A. To the corresponding value from B. So doing this we have the first value of A which is five minus the first value of B which is negative seven. We then go to the second value of A which is negative six and subtracted by the second value of B which is zero. And lastly we have the third values and we have two from a minus negative three which is from B. And now the last thing we have to do is simplify. So we see that a minus B is equal to the three by one. Matrix with the values five minus negative seven gives us positive 12. We then have negative six minus zero giving us negative six. And lastly two minus negative three gives us positive five and therefore we are left with answer choice C. 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 Subtraction

Matrix Dimensions

Element-wise Operations

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