If A, B, and C are 4×4 matrices; and det(A) = −5, det(B) = −3, and det(C) = −2 then compute: det(4A2C-1BTC²A-¹) = 0

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.2: Diagonalization
Problem 39E: Are the two matrices similar? If so, find a matrix P such that B=P1AP. A=[100020003]B=[300020001]
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If A, B, and C are 4×4 matrices; and det(A) = −5, det(B) = −3, and det(C) = −2 then compute:
det(4A²C-¹BTC²A-¹) = 0
Transcribed Image Text:If A, B, and C are 4×4 matrices; and det(A) = −5, det(B) = −3, and det(C) = −2 then compute: det(4A²C-¹BTC²A-¹) = 0
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