Please HELP!

I have a problem (Headbang) 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 :)

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- November 3rd 2008, 06:46 AMAiviekste92Gauss method
Please HELP!

I have a problem (Headbang) 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 :) - November 3rd 2008, 11:33 PMCaptainBlack
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 - November 4th 2008, 12:18 AMAiviekste92
thank you ever so much (Clapping)