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For the three-number system, which column matrices are \[X\] and \[B\] in \[AX=B\]?

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Question

For the three-number system, which column matrices are \[X\] and \[B\] in \[AX=B\]?

Options

  • \[X=\begin{bmatrix}6\\11\\0\end{bmatrix},\quad B=\begin{bmatrix}x\\y\\z\end{bmatrix}\]

  • \[X=\begin{bmatrix}x&y&z\end{bmatrix},\quad B=\begin{bmatrix}6&11&0\end{bmatrix}\]

  • \[X=\begin{bmatrix}1\\1\\1\end{bmatrix},\quad B=\begin{bmatrix}6\\11\\0\end{bmatrix}\]

  • \[X=\begin{bmatrix}x\\y\\z\end{bmatrix},\quad B=\begin{bmatrix}6\\11\\0\end{bmatrix}\]

MCQ
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Solution

The variables form the unknown column matrix \(X\). The right-hand-side constants \(6,11,0\) form the column matrix \(B\).

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