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Let A be an nxn matrix, and let B be the matrix that results when the rows of A are written in reverse order. State a theorem that describes how det(A) and det(B) are related. det(B) = (– 1) 21 det(A) O det(B) = (1) W21 det(A) O det(B) = (– 1)det(A) O det(B) = (1) det(A)

Let A be an nxn matrix, and let B be the matrix that results when the rows of A are written in reverse order. State a theorem that describes how det(A) and det(B) are related. det(B) = (– 1) 21 det(A) O det(B) = (1) W21 det(A) O det(B) = (– 1)det(A) O det(B) = (1) det(A)

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Linear Transformations
Section6.4: Transistion Matrices And Similarity
Problem 29E
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Let A be an nxn matrix, and let B be the matrix that results when the rows of A are written in reverse order. State a theorem that describes how det(A) and det(B) are related. O det(B) = (– 1)w2) det(A) O det(B) = (1) W21 det(A) O det(B) = ( – 1)det(A) O det(B) = (1)) det(A)
Transcribed Image Text:Let A be an nxn matrix, and let B be the matrix that results when the rows of A are written in reverse order. State a theorem that describes how det(A) and det(B) are related. O det(B) = (– 1)w2) det(A) O det(B) = (1) W21 det(A) O det(B) = ( – 1)det(A) O det(B) = (1)) det(A)
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