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Linear Algebra

Use the Gauss-Jordan method to find all the solutions of the system
-3x1 +2x2 -x3 +6x4 = -7
7x1 -3x2 +2x3 -11x4 = 14
x1 -x4 = 1

It is a 3x5 matrix
-3 2 -3 6 -7
7 -3 2 -11 14
1 0 0 -1 1

Using the Gauss-Jordan method,
I got
1 0 0 -1 1
0 1 0 2 5/3
0 0 1 1 2

Yet when I verify it using an online calculator it give me this
1 0 0 -1 1
0 1 0 2 -1
0 0 1 1 2

------
I retry doing it and I still cant get the -1 on the 2nd row last column

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Cladis

  1. You have 4 variables but only 3 equations, so you can't expect a unique solution.
    Since the steps to follow in GJ are not unique, I can't know how you arrived at it.
    Here is a neat webpage that let's you see the steps
    https://matrix.reshish.com/gauss-jordanElimination.php

    notice the make x4 the independant variable, that is, let x4 be anything you want.
    Check it out.

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    Reiny

  2. I found the error.. I keep doing those calculation error its irritating .__.

    Thx Reiny

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    Cladis

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