Question

For \[A=\begin{bmatrix}1&2&3\\2&3&1\end{bmatrix}\] and \[B=\begin{bmatrix}3&-1&3\\-1&0&2\end{bmatrix}\], which matrix is \[-B\]?

Options

• \[\begin{bmatrix}1&-3\\0&-1\\2&3\end{bmatrix}\]

• \[\begin{bmatrix}-3&1&-3\\1&0&-2\end{bmatrix}\]

• \[\begin{bmatrix}3&1&3\\1&0&2\end{bmatrix}\]

• \[\begin{bmatrix}-3&-1&-3\\-1&0&-2\end{bmatrix}\]

Answer 1

The negative of a matrix is obtained by changing the sign of each corresponding entry. Thus \[3,-1,3,-1,0,2\] become \[-3,1,-3,1,0,-2\].