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- Nov 24th 2009, 08:32 AM #1

- Joined
- Nov 2009
- Posts
- 9

## LU Problem

Hi guys. Hopefully you can help me out on this one.

"A co-worker carried out a steady-state mass conservation analysis to asses the concentration of H2SO4 in three beakers. These beakers are interconnected and there is mass flow between them. The analysis, according to your co-worker, rendered the following algebraic equations for the concentrations c={c1, c2, c3}T:

[1 2 3; 4 5 6; 7 8 9]{c1; c2; c3}={1; 0; 0}

Question: Calculate L and U. Verify your answer by multiplying LU=A. Given your L and U, how confident are you in your co worker's analysis? Give a clear explanation. HINT: Think about how L and U are used in the LU decomposition process."

I was able to calculate L and U:

L=[.1429 1 0; .5714 .5 1; 1 0 0]

U=[7 8 9; 0 .8571 1.7143; 0 0 0]

But I am not sure what these are able to tell me about the accuracy (or lack of) in the 'co-worker's analysis'?