Question: Determinant and unique solutions

Hello, i was hoping someone would be able to help with a couple of questions im struggling with.

I need to use the syntax for the determinant to determine if the equation below has a unique solution? Ive got another 2 lots of 3 equations that require the same answer but im not really where to start.

 

2x+3y-z=2

-x+y+2z=2

x-4y+z=0

Any help would be appreciated.

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