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GATE | CS 2022 | Question 21

Consider the following two statements with respect to the matrices Am×n , Bn×m , Cn×n and  Dn×n 

Statement 1: tr(AB) = tr(BA) 
Statement 2: tr(CD) = tr(DC) 

where tr() represents the trace of a matrix. Which one of the following holds?

(A)

Statement 1 is correct and Statement 2 is wrong. 

(B)

Statement 1 is wrong and Statement 2 is correct.

(C)

Both Statement 1 and Statement 2 are correct. 

(D)

Both Statement 1 and Statement 2 are wrong.

Answer

Please comment below if you find anything wrong in the above post
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