6.48.3  Eigenvectors: egv eigenvectors eigenvects eigVc

The egv command finds the eigenvectors of a diagonalizable matrix.
eigenvectors, eigenvects and eigVc are synonyms for egv.

• egv takes one argument:
  A, a square matrix.
• egv(A) returns a matrix whose columns are the eigenvectors of the matrix A if A is diagonalizable, otherwise it will fail.

See also Section 6.48.5 for characteristic vectors.

Examples.

• Input:
  egv([[1,1,3],[1,3,1],[3,1,1]])
  Output:

  ⎡ ⎢ ⎢ ⎣

  1 −1 1 1 2 0 1 −1 −1

  ⎤ ⎥ ⎥ ⎦

• Input:
  egv([[4,1,-2],[1,2,-1],[2,1,0]])
  Output:
  "Not diagonalizable at eigenvalue 2"
• Input (in complex mode):
  egv([[2,0,0],[0,2,-1],[2,1,2]])
  Output:

  ⎡ ⎢ ⎢ ⎣

  1 0 0 −2 −1 −1 0 −i i

  ⎤ ⎥ ⎥ ⎦