Question

Which formula correctly gives the transpose of a product?

Options

• \((AB)'=B'A'\)

• \((AB)'=A'B'\)

• \((AB)'=A+B\)

• \((AB)'=AB\)

Answer 1

For the transpose of a product, the order reverses. Therefore, \((AB)'=B'A'\), or equivalently, \((AB)^T=B^TA^T\).