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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
27

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