Suppose A and B are square matrices of the same size. If det(A) = −6 and det(B) = −7, compute the following determinants. det (AB) det (BA) det (A²) = det (B³)

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter4: Systems Of Linear Equations
Section4.6: Solve Systems Of Equations Using Determinants
Problem 276E: Explain the difference between a square matrix and its determinant. Give an example of each.
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Homework 13:

Question 6

Suppose A and B are square matrices of the same size. If det(A) = -6 and det (B) :
= -7,
compute the following determinants.
det(AB) =
det (BA)
det (4²)
det (B³)
Transcribed Image Text:Suppose A and B are square matrices of the same size. If det(A) = -6 and det (B) : = -7, compute the following determinants. det(AB) = det (BA) det (4²) det (B³)
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