Consider the following two statements with respect to the matrices Amxn , Bnxm…

2022

Consider the following two statements with respect to the matrices Amxn , Bnxm , Cnxn and . Dnxn

        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?

  1. A.

    Statement 1 is correct and Statement 2 is wrong.

  2. B.

    Statement 1 is wrong and Statement 2 is correct.

  3. C.

    Both Statement 1 and Statement 2 are correct.

  4. D.

    Both Statement 1 and Statement 2 are wrong.

Attempted by 173 students.

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Correct answer: C

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