1. Let matrices A, B, C, D, E, F, and G be defined by 21 -} A = [ 1 B B = = 12 1 %] c = [2 0 1] [4 0 11 lo 3 1 [12] D=3 1 F 0 1 2, G=120 1-1 In each part, perform the indicated operations or, where applicable, state that the expression is undefined. a. 2A-3B b. AC c. FD d. CE + D e. DA-E f. FG 8. GF h. EAC i. BB 2. [This exercise is meant to show us that multiplication of diagonal matrices turns out to work much simpler than for regular matrices.] [30 Let A 0-2 0 [2 0 01 Lo 0 4 [5 0 01 0,B=010 and C=000 Lo 0 3 Lo o -1 a. Compute AB and BA. b. Compute ABC and CAB and BCA. c. Compute B = BB, and B = BBB. d. What do you expect A = AAAA to be? 3. Row reduce the following matrices to reduced row echelon form. (Show your work.) -1 3 0 1 41 1-300-1 2-624 a. 2 213 -625 41 26 131 b. 1 [3 -1 Tom 3 3 0 1 0 1 3 1 -2 C. 303 3 2 3 -2 -3 -4 -3 [21 0 7 -1] d. 4 2 3 4 2 3 2 1