Question : Find intersection points of two planes 3x-y+2z-4=0 , 9x-7y+z+2=0 Solution : Given equations of two planes 3x-y+2z-4=0 3x-y+2z=4 (1) and 9x-7y+z+2=0 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 matrix \[\left[A:B\right]=\left(\begin{matrix}3&-1&2&4\\9&-7&1&-2\end{matrix}\right)\]…
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