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)
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)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
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)
-](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb5fb60f6-4c07-4b8e-aacf-d85c725d62df%2Fa43438e1-8604-455b-8870-7a3b530c72f1%2Fb19rh5k_processed.jpeg&w=3840&q=75)
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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