Question 1
What does the factorization $A=LU$ mean?
Question 2
In the common Doolittle form of LU factorization, what are the diagonal entries of $L$?
Question 3
After factoring $A=LU$, what is the correct order for solving $Ax=b$?
Question 4
What type of matrix is $U$ in an LU factorization?
Question 5
If $A=LU$ and $L$ has $1$'s on the diagonal, how can you find $\det(A)$?
