(adsbygoogle = window.adsbygoogle || []).push({}); 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?

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# Homework Help: System of linear equations with alpha variable

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