Prob with calculating Eigen Vectors using Augmented Matrix

Thread Starter

zulfi100

Joined Jun 7, 2012
650
Hi,
I have a following Matrix:

r1= 2 7
r2=-1 -6


I have got following eigen values:
lambda1 = -5 and lambda2=1

A-lambda * I matrix is:
r1 = 7 7
r2 = -1 -1

and x matrix is:
r1 =x
r2 =y

They used the concept of augmented matrix to find the eigen vectors. prob with finding eigen vectors.jpg



I cant understand why we have to use augmented matrix in this case.
Some body please guide me.

Zulfi.
 
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