Let A and B be 3 x 3 matrices, with det (A) = -3 and det (B) = 4. Compute the following. a. det(AB) b. det (3A) = c. det (B7) d. det (A-¹) e. det (A5) = = =
Let A and B be 3 x 3 matrices, with det (A) = -3 and det (B) = 4. Compute the following. a. det(AB) b. det (3A) = c. det (B7) d. det (A-¹) e. det (A5) = = =
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
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Chapter3: Determinants
Section3.CM: Cumulative Review
Problem 23CM: Let X1,X2,X3 and b be the column matrices below. X1=[101], X2=[110], X3=[011] and b=[123] Find...
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![Let A and B be 3 x 3 matrices, with det(A) = −3 and det (B) = 4. Compute the following.
a. det(AB)
b. det (3A) =
c. det (BT)
d. det (A-¹) =
e. det (A5) =
-
=](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F325f30ca-56bc-46bd-9932-3ddac22cee03%2F52becc45-f2b3-44b2-8f73-f989e3be4b9b%2Fduep1o_processed.png&w=3840&q=75)
Transcribed Image Text:Let A and B be 3 x 3 matrices, with det(A) = −3 and det (B) = 4. Compute the following.
a. det(AB)
b. det (3A) =
c. det (BT)
d. det (A-¹) =
e. det (A5) =
-
=
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