HP 49g+ - Manual (Page 369)

Page 11-47
Function JORDAN
Function JORDAN is intended to produce the diagonalization or Jordan-cycle
decomposition of a matrix. In RPN mode, given a square matrix
A, function
JORDAN produces four outputs, namely:
• The minimum polynomial of matrix A (stack level 4)
• The characteristic polynomial of matrix A (stack level 3)
• A list with the eigenvectors corresponding to each eigenvalue of
matrix A (stack level 2)
• A vector with the eigenvectors of matrix A (stack level 4)
For example, try this exercise in RPN mode:
[[4,1,-2],[1,2,-1],[-2,-1,0]] JORDAN
The output is the following:
4: ‘X^3+-6*x^2+2*X+8’
3: ‘X^3+-6*x^2+2*X+8’
2: { }
1: { }
The same exercise, in ALG mode, looks as in the following screen shots:
Function MAD
This function, although not available in the EIGEN menu, also provides
information related to the eigenvalues of a matrix. Function MAD is
available through the MATRICES OPERATIONS sub-menu (
„Ø) and is
intended to produce the adjoint matrix of a matrix.