Question

Which of the following is the reversal law of transposes?

(a) (A-B)’=B’-A’

(b) (AB)’=B’A’

(c) (AB)’=(BA)’

(d) (A+B)’=B’+A’

I had been asked this question during an online exam.

I'd like to ask this question from Transpose of a Matrix topic in portion Matrices of Mathematics – Class 12

Answer 1

Correct choice is (b) (AB)’=B’A’

For explanation: According to the reverse law of transposes the transpose of the product is the product of the transposes taken in the reverse order i.e. (AB)’=B’ A’.