Consider the following in respect of matrices A, B and C of same order

| Consider the following in respect of matrices A, B and C of same order :

1) (A + B + C)’ = A’ + B’ + C’

2) (AB)’ = A’B’

3) (ABC)’ = C’B’A’

where A’ is the transpose of the matrix A. Which of the above are correct?

A. 1 and 2 only

B. 2 and 3 only

C. 1 and 3 only

D. 1, 2 and 3

Right Answer is: C

SOLUTION

By properties of matrix statement 1 and 3 are correct.

(A + B + C)’ = A’ + B’ + C’

(ABC)’ = C’B’A’

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