![]() ![]() The reason for that is PLU is always possible as far as I am aware (on the condition that A is square), whereas the LU decomposition is not always possible. So basically, your calculator is likely doing a PLU decomposition (or PLUQ, where P and Q are permutation matrices) because that's how it's built. And the PLU decomposition is not unique (there are some simple counter examples). However, MATLAB's built in function that does the "LU decomposition" actually does a PLU decomposition. You L matrix (the hand one) is the same one I get (and I didn't do the calculation by hand, I used a MATLAB function that I built for a class that does the LU decomposition). Now we also know that if we impose L(i,i) = 1 (the diagonal elements) then the decomposition is unique. Solving linear equations using lu factorization calculator malwarebytes cheat. ![]() ![]() So the matrix you gave A = has an LU decomposition because it is invertible and its principal minors are also invertible. LU Decomposition Calculator How to solve ax b in a calculator using. ![]()
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