SOLUTION: Find the values of x, y, and z so that matrix A = 1 2 x 3 0 y 1 1 z is invertible.

Question 1164525: Find the values of x, y, and z so that matrix A =
1 2 x
3 0 y
1 1 z
is invertible.

Answer by Edwin McCravy(20054) (Show Source): You can put this solution on YOUR website!

A square matrix is Invertible if and only if its determinant is non-zero.



We find its determinant



We can choose any values for x, y, z such that 



I'll arbitrary choose x=3, y=-2, z=1 (to make the determinant 1, so its
inverse will have all integer elements:



Then its inverse is



Edwin

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