Diagonalization - HP Mathematics II User Manual

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Interface:

RAD

{HOME}

PRG

Finds X

x: 2

:PartAnsY/N: Y

The matrix now has to be put into the matrix writer. We use

the same matrix as in the determination of eigenvalues. By

choosing PartAns Y the indefinite system of equations that

determines the eigenvectors will be given. We see that only

two of the eigenvectors are lineary independent (only one ar-

bitrary parameter c).

Diagonalization

For a matrix A we can write:

Here K is a matrix composed of the eigenvectors of A which

have to be lineary independent. D is a diagonal matrix with

the eigenvalues on the diagonal. If the eigenvectors are

2. Linear algebra

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