- #1
Dafe
- 145
- 0
Homework Statement
Find the PA = LDU factorizations for:
A = [tex]\left[ \begin{array}{ccc} 0 & 1 & 1 \\ 1 & 0 & 1 \\ 2 & 3 & 4 \end{array} \right] [/tex]
The author chooses a permutation matrix :
P = [tex]\left[ \begin{array}{ccc} 0 & 1 & 0 \\ 1 & 0 & 0 \\ 0 & 0 & 1 \end{array} \right] [/tex]
If I do the same I obviously get the same factorization as in the book.
If I choose a permutation matrix,
P = [tex]\left[ \begin{array}{ccc} 0 & 0 & 1 \\ 1 & 0 & 0 \\ 0 & 1 & 0 \end{array} \right] [/tex]
I do not get the same factorization. Should I get the same answers even though I'm arranging the equations somewhat different, or am I missing something here?
Help is greatly appreciated, thanks!