6. Prove that if A, B E Mnxn (F) are similar, then tr(A) = tr(B) (where tr(M) is the trace of the matrix M). (Remember that class notes and/or the text can help!)
6. Prove that if A, B E Mnxn (F) are similar, then tr(A) = tr(B) (where tr(M) is the trace of the matrix M). (Remember that class notes and/or the text can help!)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.6: Rank Of A Matrix And Systems Of Linear Equations
Problem 64E
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![6. Prove that if A, B = Mnxn (F) are similar, then tr(A) = tr(B) (where tr(M) is the trace of
the matrix M). (Remember that class notes and/or the text can help!)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb04829d0-4645-426e-bf1a-7ada40b0786f%2F4df1343f-b310-448a-afe0-5d067970b533%2F7xfgwt_processed.jpeg&w=3840&q=75)
Transcribed Image Text:6. Prove that if A, B = Mnxn (F) are similar, then tr(A) = tr(B) (where tr(M) is the trace of
the matrix M). (Remember that class notes and/or the text can help!)
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