Question

For \[x+y+z=6,\quad y+3z=11,\quad x-2y+z=0,\] what is the coefficient matrix \[A\] in \[AX=B\]?

Options

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

• \[\begin{bmatrix}6\\11\\0\end{bmatrix}\]

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

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

Answer 1

The coefficients of \(x,y,z\) are taken row by row. In \(y+3z=11\), the coefficient of \(x\) is \(0\).