MathAnalytic geometry

Geometric interpretation of linear systems

What does a system consist of?

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This linear system $\begin{cases} 2x-3y-4z+11=0\\ -4x+6y+8z+36=0\\ 5x-4y-4z+2=0 \end{cases}$ has

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two parallel planes and one non-parallel to them

two planes and one line

three lines

three mutually non-parallel planes

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