Question

For matrix Aand a scalar k, (kA)^T is equal to _________

(a) k(A)

(b) k(A)^T

(c) k^2(A)

(d) k^2(A)^T

This question was posed to me during an interview.

Origin of the question is Transpose of Matrices topic in chapter Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics

Answer 1

Correct option is (b) k(A)^T

To explain: Scalar has no effect on transpose.