Question 111583
Write the coefficients and the right side constants in an augmented matrix:



{{{(matrix(2,3,3,-2,5,2,7,9))}}}



Multiply Row 1 by {{{1/3}}} to make the pivot 1:


{{{(matrix(2,3,1,-2/3,5/3,2,7,9))}}}


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


{{{(matrix(2,3,1,-2/3,5/3,0,25/3,17/3))}}}


Multiply Row 2 by {{{3/25}}} to make the pivot 1:


{{{(matrix(2,3,1,-2/3,5/3,0,1,17/25))}}}



Add 2/3*Row 2 to Row 1 to get the new row 1


{{{(matrix(2,3,1,0,53/25,0,1,17/25))}}}



The matrix is now in <font size=4><b>reduced row echelon form</b></font>


If you need more help with row reduction, check out the <a href="http://www.math.odu.edu/~bogacki/lat/">Linear Algebra Toolkit</a>