iran-konkur 2017 Q140

iran-konkur · Other · konkur-riazi_1396_specialized Simultaneous equations
140. Three planes with the matrix equation $\begin{bmatrix} 1 & 3 & -1 \\ 3 & -2 & 3 \\ 5 & 4 & 1 \end{bmatrix} \begin{bmatrix} x \\ y \\ z \end{bmatrix} = \begin{bmatrix} 7 \\ 3 \\ 9 \end{bmatrix}$ are given. The common intersection of these two planes is which of the following?
(1) Parallel (2) Coincident (3) Divergent (4) Pass through one point
\textbf{140.} Three planes with the matrix equation $\begin{bmatrix} 1 & 3 & -1 \\ 3 & -2 & 3 \\ 5 & 4 & 1 \end{bmatrix} \begin{bmatrix} x \\ y \\ z \end{bmatrix} = \begin{bmatrix} 7 \\ 3 \\ 9 \end{bmatrix}$ are given. The common intersection of these two planes is which of the following?

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(1) Parallel \hfill (2) Coincident \hfill (3) Divergent \hfill (4) Pass through one point

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