Question

Which property states that transpose distributes over addition?

Options

• \((A+B)'=A'B'\)

• \((A+B)'=A-B\)

• \((A+B)'=A'+B'\)

• \((A+B)'=B'A'\)

Answer 1

Transpose distributes over addition, so the transpose of a sum equals the sum of the transposes. In standard notation, \((A+B)^T=A^T+B^T\).