Eigen Value and Eigen Vecctor
Let A is the square matrix of order n*n ,then a number lambda is set to be Eigen value of matrix A
if there exists a column matrix X of order n*1 such that
AX=lambdaX
It menas that , if column matrix A , A*X= lambda*X then lmbda is called eigen value of A.
X-eigen vector of A.
AX-lambdaX=0
A-(Lambda*I )X=0
Eigen Value - chrecteristics value
Eigen Vector- Characteristic Vecor
Working rule to find Eigen Value and Eigen Vector :
First u need to create characteristic equations of matrix A, it is determinate of | A-lambda *I| = 0
I - is the square matrix .
Solutions of characteristics equations is called Eigen values , on the basis of egen values corespoing we can find egen vector .
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