- #1
Avichal
- 295
- 0
An eigenvector is defined as a non-zero vector 'v' such that A.v = λ.v
I don't understand the motive behind this. We are trying to find a vector that when multiplied by a given square matrix preserves the direction of the vector.
Shouldn't the motive be the opposite i.e. finding the matrix A given the vector v?
I suppose eigenvector was defined this way with some application in mind
I don't understand the motive behind this. We are trying to find a vector that when multiplied by a given square matrix preserves the direction of the vector.
Shouldn't the motive be the opposite i.e. finding the matrix A given the vector v?
I suppose eigenvector was defined this way with some application in mind