Let A and B be 3 × 3 matrices with det(A) = 4 and det(B) = 5. Find the value of (a) det(AB) (b) det(3A) (c) det(2AB) (d) det(A-'B)

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Determinants
Section3.3: Properties Of Determinants
Problem 61E: Find two 22 matrices such that |A|+|B|=|A+B|.
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Let A and B be 3 × 3 matrices with det(A) = 4 and
det(B) = 5. Find the value of
(a) det(AB)
(b) det(3A)
(c) det(2AB)
(d) det(A-'B)
Transcribed Image Text:Let A and B be 3 × 3 matrices with det(A) = 4 and det(B) = 5. Find the value of (a) det(AB) (b) det(3A) (c) det(2AB) (d) det(A-'B)
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