Question: The trace of a square matrix A is the sum of the diagonal entries in A and is denoted by tr A. It can be

The trace of a square matrix A is the sum of the diagonal entries in A and is denoted by tr A. It can be verified that tr(FG) = tr(GF) for any two n x n matrices F and G. Show that if
A and B are similar, then tr A = tr B.

Step by Step Solution

3.39 Rating (158 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

If If B is diagonal then the diagonal entries of ... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Document Format (1 attachment)

Word file Icon

922-L-A-E (328).docx

120 KBs Word File

Students Have Also Explored These Related Linear Algebra Questions!