Question

For \(B=\begin{bmatrix}1&3&-6\end{bmatrix}\), what is \(B'\)?

Options

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

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

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

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

Answer 1

The matrix \(B\) is a row matrix. Its transpose is the column matrix \(B'=\begin{bmatrix}1\\3\\-6\end{bmatrix}\), obtained by interchanging rows and columns.