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solving equation system using Gauss method

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Last Modified: 2016-02-10
How can i solve this equation method using the Gauss method?? I have no clue :S

x  -  y + 2z +   t = 0
       y -    z + 2t = 0
2x      + z         =  0


???
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Hope this isn't homework ;-)


First transform the set of linear equations into a matrix.
Then use the 5 row transformations to put the matrix into echelon form.
Rewrite this new matrix as a set of linear equations.
Identify the pivot variables.
Express the pivot variables in terms of the non-pivot variable (one by one)
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I'm having trouble with the 4th unknown having only 3 equations. So I have to leave the solution in terms of the value of t?
ozo
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You could leave it in terms of the value of t, or in terms if the value of y, or in terms of the value of x+y
any of them can determine the value of the others, `
and by choosing different values you can generate an infinite number of points that are solutions to the equations.  (all of which lie on the same line)
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