Question

What happens to a scalar when taking the transpose of \(kA\)?

Options

• The scalar is inverted: \((kA)'=\frac{1}{k}A'\)

• The scalar is taken out unchanged: \((kA)'=kA'\)

• The scalar is squared: \((kA)'=k^2A'\)

• The scalar is added to the transpose: \((kA)'=k+A'\)

Answer 1

The scalar can be taken out unchanged when transposing. Thus, \((kA)'=kA'\), or equivalently, \((kA)^T=kA^T\).