1. If the matrices A3x3 and B3×3 are such that det (A) = −2 and det (B) = -8, then: a) det(-3A) = = b) det(A³B-T) = c) det(A¯¹BT) =

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.5: Determinants
Problem 82E: Use an example chosen from 22 matrices to show that for nn matrices A and B,ABBA but AB=BA.
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1. If the matrices A3x3 and B3×3 are
such that det (A) = −2 and
det (B) = -8, then:
a) det(-3A) =
b) det(A³B-T) =
c) det(A-¹BT) =
Transcribed Image Text:1. If the matrices A3x3 and B3×3 are such that det (A) = −2 and det (B) = -8, then: a) det(-3A) = b) det(A³B-T) = c) det(A-¹BT) =
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