Howtosignalprocessing
- Does the direction of eigenvector matter?
- What is the purpose of an eigenvector?
- What is the significance of eigenvectors of a matrix?
Does the direction of eigenvector matter?
The signs of the eigenvectors are arbitrary. You can flip them without changing the meaning of ther result; only their direction matters.
What is the purpose of an eigenvector?
Eigenvectors are used to make linear transformation understandable. Think of eigenvectors as stretching/compressing an X-Y line chart without changing their direction.
What is the significance of eigenvectors of a matrix?
Eigenvalues are the special set of scalar values that is associated with the set of linear equations most probably in the matrix equations. The eigenvectors are also termed as characteristic roots. It is a non-zero vector that can be changed at most by its scalar factor after the application of linear transformations.
