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Eigenvectors - HP Mathematics II User Manual

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Now the matrix has to be specified, and you may put it into
the symbolic matrix writer:
4 6 6
1
3 2
-1 -5 -2
The example finds the eigenvalues of the matrix:
4 6 6
1 3 2
-1 -5 -2
,
L
The matrix has an eigenvalue with multiplicity 2 (x. = 2).
Eigenvectors
A matrix has infinite many eigenvectors because the system
of equations that determines the vectors are indefinite. The
eigenvectors are given in terms of arbitrary parameters. A set
of eigenvectors will normaly be linear independent even if
the eigenvalues have multiplicity greater than 1. But this is
not always the case.
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2. Linear algebra
26
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