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)
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)
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)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9086a1c0-d376-4c80-871f-f484ad7b10c1%2Fed6a4b11-c0bf-4176-b051-d612e597aeb0%2Fh7dqlfj_processed.png&w=3840&q=75)
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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