Let A = and B = . Find each of the following. See Examples 2 –4....

Question

Let A =  and B = . Find each of the following. See Examples 2 –4. (3/2)B

Accepted Answer

Hello, everyone. We are asked to find the value of the following expression if A is the two by two matrix with the top row of negative 59. And the second row of 0 11 and B is a two by two matrix with a top row of negative 12 6. And the bottom row of 90, the value we're trying to find is five thirds. B our answer choices are a two by two matrix with a top row of negative 2 10 and a second row of 15 0 B A two by two matrix with a top row of 2010 and a second row of 15 0 C A two by two matrix where the top row is negative 2010 and the bottom row is 15 0 D A two by two matrix where the top row is 2010 and the bottom row is negative 15 0. I am going to plug the matrix B in for B in the expression of five thirds multiplied by the matrix negative 12 6 as the top row 90 as the bottom row. When we have a value multiplied by a matrix, we multiply each element in that matrix by the value. So this would be five thirds multiplied by negative 12, five thirds multiplied by six, five thirds multiplied by nine and five thirds multiplied by zero. And when I do out that multiplication in my top left corner, I get the value negative 20. In the top right corner, I get 10. In the bottom left corner, we get 15 and in the bottom right corner zero. So our final matrix is a two by two matrix in the top row is negative 2010. The second row is 15 0 and this matches answer choice C have a nice day.

Let A = and B = . Find each of the following. See Examples 2 –4. (3/2)B

Key Concepts

Matrix Multiplication

Scalar Multiplication

Matrix Notation

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