Solve a 4x4 System using Determinants

nxzx

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Is it possible to solve 4 equations with 4 unknowns with determinant?
 
Is it possible to solve 4 equations with 4 unknowns with determinant?
Note: Cramer's Rule (here) will work only if the solution is unique. If the solution is parameterized, or if it doesn't exist, Cramer's Rule will fail, and you'll have to use other methods. ;)
 
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