Question 198252
Write this matrix in reduced row echelon form. 
2 5 3 3
3 2 4 9
5 -3 -2 4
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Subtract the 1st row from the 2nd and make that the 1st row:
1 -3 1 6
3  2 4 9
5 -3 -2 4
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Subtract 3 times the 1st from the 2nd and subtract 5 times the 1st from the 3rd
1 -3  1  6
0 11  1 -9
0 12 -7 -26
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Subtract the 2nd from the 3rd and make that the 2nd row
1 -3  1   6
0  1 -8  -17
0  11 1  -9
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Subtract 11 times the 2nd from the 3rd row
1 -3  1   6
0  1 -8  -17
0  0 89  178
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Divide thru the 3rd by 89 to get
1 -3  1   6
0  1 -8  -17
0  0  1   2
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Cheers,
Stan H.