eig

eig

Computes the eigenvalues and eigenvectors of a given matrix.

References

• http://en.wikipedia.org/wiki/Eigendecomposition_of_a_matrix

eig(M)

Solves the eigenproblem of a matrix A and return a vector with all (and degenerate) eigenvalues.

Argument M

Matrix

Returns 1. entry

Matrix : The eigenvalues of the matrix stored in a vector.

Returns 2. entry

Matrix : The eigenvectors of the matrix stored in a matrix.

Example

eig([1,2,3;4,5,6;7,8,9])

Returns a vector with the three eigenvalues 16.11684, -1.11684 and 0 of this 3x3 matrix.

Example

[vals, vecs] = eig([1,2,3;4,5,6;7,8,9])

Saves a vector with the three eigenvalues 16.11684, -1.11684 and 0 of this 3x3 matrix in the variable vals and a matrix containing the eigenvectors in the variable vecs.