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 12 in college algebra, chapter on matrices and determinants.

Accepted Answer

Hey everyone here we are asked to perform the matrix operation A minus B. Now, before we begin solving we first want to substitute in the given matrices into the corresponding variables. So first we have matrix A which is given as a two by three matrix with the values to 54 and negative 310. Next for matrix B we have also a two by three matrix but with the values one negative four five and for the second row negative and negative five. So now we just want to start subtracting. So we take each value from A. And subtracted by each corresponding value from matrix B. So doing this, we first value of A which is two minus the first value of B which is one. We then move on to the second value. So we have five minus the second value of B which is negative four. We then move on to the third value which is four minus the third value of B which is five. Now moving on to the second row, we have negative three minus negative one. Then we have one minus three. And lastly we have zero minus negative five. So now all that is left to do is simplify and we see that a minus B is also a two by three matrix with the values of two minus one which is just one, then five minus negative four gives us minus five gives us negative one. Then negative three minus negative one gives us negative 21 minus three also gives us negative two, then zero minus negative five gives us positive five, which leaves us with answer choice. A 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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