1. The problem statement, all variables and given/known data 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) 2. Relevant equations 3. 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.