Thread: Gauss method

Please HELP!
I have a problem to solve with the Gauss metohd.

{ X1 + X2 + 3X3 + 2X4 + 2X5 = 3
{ X1 + X2 + X3 + 2X4 = 1
{ X1 + X2 - X3 + 2X4 - 2X5 = -1
{ -X1 + X2 + X3 = 1

Thanks!
You are THE BEST

Originally Posted by Aiviekste92

Please HELP!
I have a problem to solve with the Gauss metohd.

{ X1 + X2 + 3X3 + 2X4 + 2X5 = 3
{ X1 + X2 + X3 + 2X4 = 1
{ X1 + X2 - X3 + 2X4 - 2X5 = -1
{ -X1 + X2 + X3 = 1

Thanks!
You are THE BEST

The augmented matrix is:



Now subtract the first row from the second and third rows and add it to the third row to get:



Now interchange the last row with the second row:



Now because the last two rows are identical it means that one of the variables will be indeterminate, and we might as well let this be . We also observe that the last two rows mean that .

Now substituting into the equation corresponding to our second row:



so:



Now substituting into the equation corresponding to our first row:



so:



CB

thank you ever so much