Question

For \[2x+5y=1\] and \[3x+2y=7\], which matrices are \[X\] and \[B\] in \[AX=B\]?

Options

• \[X=\begin{bmatrix}x&y\end{bmatrix},\quad B=\begin{bmatrix}1&7\end{bmatrix}\]

• \[X=\begin{bmatrix}1\\7\end{bmatrix},\quad B=\begin{bmatrix}x\\y\end{bmatrix}\]

• \[X=\begin{bmatrix}x\\y\end{bmatrix},\quad B=\begin{bmatrix}1\\7\end{bmatrix}\]

• \[X=\begin{bmatrix}2&5\\3&2\end{bmatrix},\quad B=\begin{bmatrix}1\\7\end{bmatrix}\]

Answer 1

The unknown column matrix is \(X=\begin{bmatrix}x\\y\end{bmatrix}\). The constants on the right-hand sides form \(B=\begin{bmatrix}1\\7\end{bmatrix}\).