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I used Gaussian elimination on a matrix to find the soultions. I know that there is either no solutions or infinatley many, but the matrix is confusing me.

The only definition I have of when a matrix has infinatley many solutions is when a zero row is equal to zero, and no solutions when a zero row is equal to a real number.

But in this case is it infinatley many solutions or no solutions?

1 2 3 | 4

0 3 1 | 1

0 3 1 | 0

Where 3y + z = 1 and 0.

Thanks

The only definition I have of when a matrix has infinatley many solutions is when a zero row is equal to zero, and no solutions when a zero row is equal to a real number.

But in this case is it infinatley many solutions or no solutions?

1 2 3 | 4

0 3 1 | 1

0 3 1 | 0

Where 3y + z = 1 and 0.

Thanks

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