# Function Jordan; Function Mad - HP 48gII User Manual

Graphing calculator.

## 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]]
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:

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.
JORDAN
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