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Geometric multiplicities

asked 2023-03-23 16:00:31 +0200

bobby.mir gravatar image

Is there any function to find the geometric multiplicities of an eigenvalue of a matrix?

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answered 2023-03-23 17:06:36 +0200

rburing gravatar image

Example:

A = Matrix([[2,0,0,0],[1,2,0,0],[0,1,3,0],[0,0,1,3]])
for (l, E) in A.right_eigenspaces():
    print('Eigenvalue', l, 'has geometric multiplicity', E.dimension())

Output:

Eigenvalue 3 has geometric multiplicity 1
Eigenvalue 2 has geometric multiplicity 1
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Asked: 2023-03-23 16:00:31 +0200

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Last updated: Mar 23 '23