LU Decomposition of matrix A? so i'm trying to find LU decomposition of a matrix A but
it keeps giving me different results than that in wolframa calculator.
Are there many L and U or just one? and how to verify the one I got is correct?
UPDATE: I don't need the correct answer. I just want to know why my answer is not working
Here's A
 2   1   3 
 4  -1   3
-2   5   5

Row Reducing:
R2+(2R3)
 2   1   3 
 0   9   13                
-2   5   5

R3+R1
 2   1   3 
 0   9   13                
 0   6   8

R3+(-6/9R2)
 2   1   3 
 0   9   13                
 0   0   -6/9

Hence, L is:
 1   0    0
-2   1    0
-1   2/3  1

and U is:
2   1    3
0   9   13
0   0  -2/3


There may be many $L, U$ for a given matrix $A$; the LU factorization of a matrix is not unique. You can check your answer by computing the product $LU$ and checking if it is equal to $A$. 
