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Find AC, if possible. A = [3 -3 5 0 2 -3] C = [-3 0 4 -2 4 3 -1 3 1] Select the correct choice below and,...

Find AC, if possible.
A = [3 -3 5
0 2 -3]
C = [-3 0 4
-2 4 3
-1 3 1]
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. AC = [ ] (Simplify your answer.)
B. The matrix AC is not defined.

Answer

Answer:

  1. To find AC, we multiply matrix A by matrix C. Matrix A is a 2x3 matrix and matrix C is a 3x3 matrix. The resulting matrix AC will be a 2x3 matrix.

    AC = [ (3*-3 + -3*-2 + 5*-1) (3*0 + -3*4 + 5*3) (3*4 + -3*3 + 5*1) ]

           [ (0*-3 + 2*-2 + -3*-1) (0*0 + 2*4 + -3*3) (0*4 + 2*3 + -3*1) ]

    AC = [ (-9 + 6 - 5) (0 - 12 + 15) (12 - 9 + 5) ]

           [ (0 - 4 + 3) (0 + 8 - 9) (0 + 6 - 3) ]

    AC = [ -8 3 8 ]

           [ -1 -1 3 ]

    Therefore, the correct choice is A. AC = [ -8 3 8 ] [ -1 -1 3 ]

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