1. The problem statement, all variables and given/known data For which value of alpha does the following system of linear equations have a solution? x + y = 2 x +αy = -1 αx + y = 1 3. The attempt at a solution I put it into a matrix that looks like this: 1 1 | 2 1 α | -1 α 1 | 1 Then I subtracted row1 from row2 and it made the matrix look like: 1 1 | 2 0 (α-1) | -1 α 1 | 1 Then I took the 2nd row as α -1 = -1 and solved α to be zero. So, does this mean that the solution for this is all numbers α such that α is not equal to zero?