Question

If \(A\) is an \(m \times n\) matrix, what is the order of \(A'\)?

Options

• \(m+n \times m+n\)

• \(n \times m\)

• \(1 \times mn\)

• \(m \times n\)

Answer 1

If \(A\) is \(m \times n\), then \(A'\) is \(n \times m\). Transposition changes the number of rows into the number of columns and the number of columns into the number of rows.