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## Homework Statement

The system of equations:

ix - y + 2z = 7

2x + αz = 9

-x + 2y + 5iz = β

has a unique solution, except for one value of α. What is this α - value? If the matrix doesn't have a unique solution, then what value should β have for the matrix to be consistent and what is the solution then? (Parameters α, β and the unknowns x, y ,z are complex numbers)

## Homework Equations

## The Attempt at a Solution

I have tried to solve this as a matrix with the echelon form, but I can't get anywhere since I have never before done matrices with complex numbers.