GATE CSE
First time here? Checkout the FAQ!
x
+1 vote
90 views

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 (1k points)   | 90 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:

AX=Y

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

AX=Y=⋋X
AX-⋋IX=0
(A-⋋I)X=0


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

 

answered by Active (1.3k points)  
selected by
Thanks I got the ans.


Top Users Mar 2017
  1. rude

    5246 Points

  2. sh!va

    3054 Points

  3. Rahul Jain25

    2920 Points

  4. Kapil

    2732 Points

  5. Debashish Deka

    2602 Points

  6. 2018

    1574 Points

  7. Vignesh Sekar

    1440 Points

  8. Bikram

    1432 Points

  9. Akriti sood

    1420 Points

  10. Sanjay Sharma

    1128 Points

Monthly Topper: Rs. 500 gift card

21,553 questions
26,902 answers
61,258 comments
23,269 users