Question

Which equality verifies the transpose of product property for the given matrices \(A\) and \(B\)?

Options

• \((AB)'=B-A\)

• \((AB)'=A+B\)

• \((AB)'=A'B'\)

• \((AB)'=B'A'\)

Answer 1

For the given matrices, direct multiplication followed by transposition gives the same result as multiplying \(B'\) by \(A'\). Hence, \((AB)'=B'A'\), demonstrating that order reverses in product.