1. Let A = - (12 31 ), B = (3 135) 0 and C =...

 

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1. Let A = - (12 31 ), B = (3 135) 0 and C = -5 = ( 3 -1/2 2 ) a. Compute AB and BA. b. Compute A + B and B + A. C. If c = 3, show that c(A + B) = CA + cB. d. Show that (AB)C = A(BC). e. Compute AC. f. Compute B +0. g. Compute A022 and 0224, where 022 is the 2 2 zero matrix. h. Compute 0A, where 0 is the real number (scalar) zero. i. Let c = 2 and d = 3. Show that (c + d) A (c+ = cA + dA. 1. Let A = - (12 31 ), B = (3 135) 0 and C = -5 = ( 3 -1/2 2 ) a. Compute AB and BA. b. Compute A + B and B + A. C. If c = 3, show that c(A + B) = CA + cB. d. Show that (AB)C = A(BC). e. Compute AC. f. Compute B +0. g. Compute A022 and 0224, where 022 is the 2 2 zero matrix. h. Compute 0A, where 0 is the real number (scalar) zero. i. Let c = 2 and d = 3. Show that (c + d) A (c+ = cA + dA.