prove that following system of linear equations has infinite number of solutions

Question : Prove that following system of linear equations has infinite number of solutions 3x-y+2z=4 9x-7y+z=-2 Solution : Given system of linear equations 3x-y+2z=4 (1) 9x-7y+z=-2 (2) Writing equations (1) and (2) in matrix form AX=B \[\left(\begin{matrix}3&-1&2\\9&-7&1\end{matrix}\right)\left(\begin{matrix}x\\y\\z\end{matrix}\right)=\left(\begin{matrix}4\\-2\end{matrix}\right) \] (3) Augmented…

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