Finding out eigen-values and eigen-vectors of matrices.
For a 3x3 matrix, how many eigenvalues are possible?
Eigenvalues of a matrix are obtained from:
An eigenvector of a matrix represents:
If λ is an eigenvalue and v is its eigenvector, then:
Eigenvalues can be:
The zero vector cannot be an eigenvector because:
Eigenvalues help determine:
For an identity matrix, eigenvalues are:
Eigenvectors corresponding to different eigenvalues are usually:
Eigenvalue computation is widely used in: