HP (Hewlett-Packard) 50g ユーザーズマニュアル

Page 11-48

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A list with the eigenvectors corresponding to each eigenvalue of matrix 
A (stack level 2)

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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]]    JORD N

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. 

In RPN mode, function MAD generates a number of properties of a square 
matrix, namely:

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the determinant (stack level 4)

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the formal inverse (stack level 3), 

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in stack level 2, the matrix coefficients of the polynomial p(x) defined 
by (x

⋅I-A) ⋅p(x)=m(x)⋅I,

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the characteristic polynomial of the matrix (stack level 1)