Question: 7. Verify (B C)A = BA CA. (10 points) 8. Solve the following by finding A'l. No credit will be given for any other method.

7. Verify (B C)A = BA CA. (10 points) 8. Solve
7. Verify (B C)A = BA CA. (10 points) 8. Solve the following by finding A'l. No credit will be given for any other method. (10 points) 4x7y=30 6x9y=39 9. Give an example of each ofthe following, if it exists. If it doesn't exist, briefly explain why. (10 points) a. A 4X3 lower triangular matrix. b. A 4X4 symmetric matrix c. An invertible diagonal matrix 10. Assume a\" matrices are sizes such that the multiplication is defined. Solve for X. (10 points) (BTAT)TX(BCT)-1 = A 11. If possible, find the following. If not, briefly explain why. (5 points each). 5 2 1 a. A'ZifA=(O 0 7) 003 x+1 0 b. The values of x such that the following matrix is invertible. 3 2

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