Question: 1. Define 3 O O O OH A = 2 0 , B = 4 2 1, C= -5 , X = 0 OOH O

1. Define 3 O O O OH A = 2 0 , B = 4 2 1, C= -5 , X = 0 OOH O o 09 , Y = 0 to No 6 4 2 5 4 -2 0 O O (a) [4 points] Compute A . C and B . C. (b) [4 points] Compute CT . (A - 2B) T. Hint: Try to use the results that you obtained in Part (a). (c) [2 points] Compute X . B. (d) [2 points] What is the effect of multiplying a matrix with three rows from the left by X? Hint: How are B and X . B related? (e) [2 points] Compute (X . A) . C. Hint: Try to use the results that you obtained in Part (a). (f) [6 points] Compute Y . (A + YB + Y?C)

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