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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