Math 421/621
Spring 2000
Homework 4
a)
Find
the invariant factors and the elementary divisors of this matrix. What is the
minimal polynomial of this matrix?
b)
Use
the answer from part a) to find the rational canonical form (both for
elementary divisors and invariant factors) of this matrix and the Jordan form
for this matrix.
a)
Find
the rational canonical forms of this matrix by considering it as a real matrix.
b)
Now
consider the matrix to be complex and find the Jordan canonical form.