Question

If A is a matrix and K is a constant, then (KA)^T = KA^T

Options

• True

• False

Answer 1

This statement is True.

Explanation:

For any matrix A and a scalar constant K, the transpose property states:

(KA)^T = KA^T

Since the transpose operation distributes over scalar multiplication, the constant K remains unchanged, and only the matrix A is transposed.