Week 6#
Lecturer: G Venkiteswaran, Faculty for BITS Pilani
Date: 5/Sep/2021
Topics Covered#
Eigen Values and Eigen Vectors#
>> A = [-5, 2; 2, -2]
A =
-5 2
2 -2
>> eig(A)
ans =
-6
-1
>> [u, v] = eigs(A)
u =
-0.8944 -0.4472
0.4472 -0.8944
v =
Diagonal Matrix
-6 0
0 -1
>>
Example Problem#
Jordan Canonical Form#
Gerschgorgin's Theorem#
![Pasted image 20210905112255.png](../../../Assets/Pasted%20image%2020210905112255.png)
Algebraic and Geometric Multiplicity#