If A and B are 6 x 6 matrices over the complex numbers, then which of the following statements must be true? Check all tha apply. If A is an elementary matrix, then | det(A)| = 1 Odet(-AB)=det (BA) Of A is skew-symmetric, then A is singular. det (AB)=det(A)+det(B) det(AB)= det(BA) det(A + B)=det(A)+det(B)

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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If A and B are 6 x 6 matrices over the complex numbers, then which of the following statements must be true? Check all that
apply.
If A is an elementary matrix, then | det(A)] = 1.
Odet(-AB) det (BA)
Of A is skew-symmetric, then A is singular.
det (AB)=det(A)+det(B)
det(AB) det(BA)
det (A + B)=det(A)+det(B)
-
Transcribed Image Text:If A and B are 6 x 6 matrices over the complex numbers, then which of the following statements must be true? Check all that apply. If A is an elementary matrix, then | det(A)] = 1. Odet(-AB) det (BA) Of A is skew-symmetric, then A is singular. det (AB)=det(A)+det(B) det(AB) det(BA) det (A + B)=det(A)+det(B) -
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