Compute the following block products:A11B₁1-1AC =C =c- [ ]-C11 C12C21 C22= [A!!Let C = AB. Then C can be computed by block multiplication:C₁1 C12C21 C22B =A11 A12A22A12B21B11B21B12B22] ===100Use them to find C₁1, and then evaluate the remaining blocks of C similarly:646001-50 -1[A₁1B₁1 + A12B21A21B11 + A22B21455 -4-5 -6-2 -2 -525 -5365-151-40A11B12+A12B22A21B12 + A22 B22

Answered: Image /qna-images/answer/9311a1b0-21eb-4bc6-9697-6c021a08719a.jpg

Compute the following block products: A11 B11 || 1 0 0 --**-**4] 0 1 -5 5 0 0 -1 -5 -6 Let C = AB. Then C can be computed by block multiplication: c = [C₁1 C1₂] - C = [ C22 1 c=[CH CH₂2]- C21 A = [ALI B = A11 A12 A12B21 B11 B12 B21 B22 -1 = Use them to find C₁1, and then evaluate the remaining blocks of C similarly: 6 -2 -2 4 2 6 3 4 −1 1 1 [A11B11+A12B21 A21B11 + A22B21 -5 5 -5 non 6 5 5 1 -4 0 5 A11B12 + A12B22 A21 B12 + A22 B22

Compute the following block products: A11 B11 || 1 0 0 ---4] 0 1 -5 5 0 0 -1 -5 -6 Let C = AB. Then C can be computed by block multiplication: c = [C₁1 C1₂] - C = [ C22 1 c=[CH CH₂2]- C21 A = [ALI B = A11 A12 A12B21 B11 B12 B21 B22 -1 = Use them to find C₁1, and then evaluate the remaining blocks of C similarly: 6 -2 -2 4 2 6 3 4 −1 1 1 [A11B11+A12B21 A21B11 + A22B21 -5 5 -5 non 6 5 5 1 -4 0 5 A11B12 + A12B22 A21 B12 + A22 B22

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter3: Determinants

Section3.3: Properties Of Determinants

Problem 63E: Let A be an nn matrix in which the entries of each row sum to zero. Find |A|.

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