Problem
1. Give the matrix produced by the forward-elimination phase of Gaussian elimination (eliminate) when used to solve the equations x+y+z = 6, 2x+y+3z = 12, 3x+y+3z = 14.
2. Give a system of three equations in three unknowns for which the naive triply nested for loop implementation of forward elimination fails, even though there is a solution.
3. What is the storage requirement for Gaussian elimination on an N-by-N matrix with only 3N nonzero elements?
4. Describe what happens when eliminate is used on a matrix with a. row of all zeros.