HP 48gII Graphing Calculator Manual do Utilizador descarregar pdf (Página 373)

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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.

1 2 ... 368 369 370 371 372 373 374 375 376 377 378 ... 863 864

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HP 48gII Graphing Calculator Manual do Utilizador Página 373

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