For which values of a will the following system have no solutions? Exactly one solution? Infinitely many solutions?
x+6y+4z=2
4x+25y+31z=7
2x+13y+(7+a^2)z=-1+a
I tried elimination but that didn't work... I don't know how I would use matricies for this either.

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@zepdrix @UnkleRhaukus @saifoo.khan

First, turn it into a matrix!

Umm okay...

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