The Rational and Jordan Forms
Linear Algebra Notes
Satya Mandal
November 5, 2005
1
Cyclic Subspaces
In a given context, a cyclic thing is an one generated thing. For example,
a cyclic groups is a one generated group. Likewise, a module M over a ring
R is
Canonical Forms
Linear Algebra Notes
Satya Mandal
October 25, 2005
1
Introduction
Here F will denote a eld and V will denote a vector space of dimension dim(V ) = n. (In this note, unless otherwise stated, n = dim(V )
We will study operatores T on V. The
Math 790 Test 6 (Takehome) Satya Mandal Fall 05 Each Problem 10 points Due on: October 24, 2005 Unless otherwise stated, F is a eld and V will denote a vector space over F with nite dimension dim V = n. . 1. Suppose T L(V, V ) is a linear operator and c F