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
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.
In d link mentioned below. Yeah. :)