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5.1) Compute the product AB for -1₁ A= 10-1 1 20-1 -1 3 10-2 and B 1-1 2 1 -1 (5.2) Use your answer in (5.1) to verify that det(AB) = det(A) det(B). (5.3) Determine whether each equality det(A - B) = det(A) det(B) and det(A-¹ + B-¹) det(A)+det(B) holds. det(AB) =

5.1) Compute the product AB for -1₁ A= 10-1 1 20-1 -1 3 10-2 and B 1-1 2 1 -1 (5.2) Use your answer in (5.1) to verify that det(AB) = det(A) det(B). (5.3) Determine whether each equality det(A - B) = det(A) det(B) and det(A-¹ + B-¹) det(A)+det(B) holds. det(AB) =

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.2: Properties Of Division
Problem 51E
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(5.1) Compute the product AB for 10-1 1 20-1 A= -1 3 and B= 0-2 1 -1 2 2 1 -1 (5.2) Use your answer in (5.1) to verify that det(AB) = det(A) det(B). (5.3) Determine whether each equality det(AB) = det(A) det(B) and det(A-¹ + B-¹) = det(A)+det(B) holds. det(AB)
Transcribed Image Text:(5.1) Compute the product AB for 10-1 1 20-1 A= -1 3 and B= 0-2 1 -1 2 2 1 -1 (5.2) Use your answer in (5.1) to verify that det(AB) = det(A) det(B). (5.3) Determine whether each equality det(AB) = det(A) det(B) and det(A-¹ + B-¹) = det(A)+det(B) holds. det(AB)
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