
LU Problem
Hi guys. Hopefully you can help me out on this one.
"A coworker carried out a steadystate 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 coworker, 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 'coworker's analysis'?