HP 50G, User Manual

Page: 375 / 887

Page 11-48
•
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]] 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:
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.
In RPN mode, function MAD generates a number of properties of a square
matrix, namely:
•
the determinant (stack level 4)
•
the formal inverse (stack level 3),
•
in stack level 2, the matrix coefficients of the polynomial p( x ) defined
by ( x
⋅
I - A )
⋅
p( x )=m( x )
⋅
I ,
•
the characteristic polynomial of the matrix (stack level 1)