Question

For \(A=\begin{bmatrix}-2\\4\\5\end{bmatrix}\), what is \(A'\)?

Options

• \(\begin{bmatrix}5&4&-2\end{bmatrix}\)

• \(\begin{bmatrix}-2\\4\\5\end{bmatrix}\)

• \(\begin{bmatrix}-2&4&5\end{bmatrix}\)

• \(\begin{bmatrix}1&3&-6\end{bmatrix}\)

Answer 1

The matrix \(A\) is a column matrix. Interchanging its rows and columns produces the row matrix \(A'=\begin{bmatrix}-2&4&5\end{bmatrix}\).