The Gateway to Computer Science Excellence
First time here? Checkout the FAQ!
+1 vote

To find out the Eigen values we put the |A-⋋I | =0  why we put the determinant =0 .

Is there any specific reason For this

asked in Linear Algebra by Active (1.1k points) | 122 views

1 Answer

+4 votes
Best answer

Yes, the concept is as follows:

Let A be a matrix and X, Y be 2 column vectors. Now a column vector X can be transformed into another column vector Y using a square matrix A as:


Now suppose Y is equal to a scalar multiple of X i.e. ⋋X . Then:


Hence   is known as an eigen value of matrix A and the corresponding non zero vector X as eigen vector.


answered by Active (1.5k points)
selected by
Thanks I got the ans.

Quick search syntax
tags tag:apple
author user:martin
title title:apple
content content:apple
exclude -tag:apple
force match +apple
views views:100
score score:10
answers answers:2
is accepted isaccepted:true
is closed isclosed:true

29,017 questions
36,845 answers
34,723 users