Question 1
What is the main goal of Gaussian elimination?
Question 2
In an $LU$ factorization of a square matrix $A$, what does the notation $A=LU$ mean?
Question 3
Which row operation is allowed in Gaussian elimination?
Question 4
If a linear system has $3$ equations and $3$ unknowns, what is the size of its augmented matrix?
Question 5
What is the purpose of a pivot in Gaussian elimination?