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Systems of Equations : Solve using Augmented Matrix

Solve the following system of equations by performing elementary row operations on the augmented matrix.
x1-2x2 +2x4 = 6
2x1-4x2+x3-x4 =-2
3x1+6x2-x3-x4=-4
x1-2x2+x3-3x4=-8

Solution Preview

We perform row operations on the augmented matrix

1 -2 0 2 6
( 2 -4 1 -1 -2 )
3 6 1 -1 -4
1 -2 1 -3 -8

1 -2 0 2 6
( 0 0 1 -5 -14 ) [row2-2(row1)]
0 12 ...

Solution Summary

A system of equations is solved by performing elementary row operations on the augmented matrix.

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