Answer each of these questions in any order only using row and/or 
column operations where appropriate and other basic functions.
(You can use advanced functions to help yourself but I need
to see the row ops which achieve the same answer)
Any comments you wish to leave in the paper to explain what 
you are doing you can do as follows:
> #  solving for the first eigenvalue
the # means ignore everything else on the line after it.

Find the LU factorisation of A and check your answer
Find the eigenvalues and eigenvectors of B and check them
Find the inverse of C and check it is the same as inverse(C)

A := matrix([[3, 0, 1, 3], [1, -1, 2, 0], [-1, 1, 0, -2]]);
B := matrix([[37/10, (-1)/5, (-1)/2], [7/10, 14/5, (-1)/2], [(-7)/10, 1/5, 7/2]]);
C := matrix([[-1, -1, 0, 1], [1, -1, 0, 0], [-1, 0, -1, -1], [0, 1, -1, -1]]);

When completed, email the finished worksheet with
#  Name :
#  Registration Number: 
on the first two lines to me at james_preen@uccb.ca