Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN: 9780134463216
Author: Robert F. Blitzer
Publisher: PEARSON
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# 9 

 

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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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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