1. Let A and B be 3 x 3 matrices with det(A) = 4 and det(B) = 6, and let E be an elementary mat- rix of type I. Determine the value of each of the following: (a) det(A) (b) det(B-¹A¹) (c) det(E A²)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.6: The Algebra Of Matrices
Problem 14E
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= 4
1. Let A and B be 3 x 3 matrices with det(A)
and det(B) = 6, and let E be an elementary mat-
rix of type I. Determine the value of each of the
following:
(a) det(A)
(b) det(B-¹A¹)
(c) det(E A²)
2. Let
Transcribed Image Text:= 4 1. Let A and B be 3 x 3 matrices with det(A) and det(B) = 6, and let E be an elementary mat- rix of type I. Determine the value of each of the following: (a) det(A) (b) det(B-¹A¹) (c) det(E A²) 2. Let
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