SOLUTION: 1.) {x-y+z=1 {x+y+3z=-3 {2x-y+2z=0

Question 176992This question is from textbook Prentice Hall Mathematics Algebra 2
: 1.)
{x-y+z=1
{x+y+3z=-3
{2x-y+2z=0 This question is from textbook Prentice Hall Mathematics Algebra 2

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
First, extract the coefficients to form the following matrix:

Add -1*Row 1 to Row 2 to get the new Row 2

Add -2*Row 1 to Row 3 to get the new Row 3

Multiply Row 2 by to make the pivot 1:

Add -1*Row 2 to Row 3 to get the new Row 3

Multiply Row 3 by to make the pivot 1:

Add -1*Row 3 to Row 2 to get the new Row 2

Add -1*Row 3 to Row 1 to get the new Row 1

Add 1*Row 2 to Row 1 to get the new Row 1

The matrix is now in reduced row echelon form

If you need more help with row reduction, check out the Linear Algebra Toolkit

Since the right hand column is this means that the solutions are , and
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