what is geometeric multiplicity Eigen value
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The geometric multiplicity of an eigenvalue is defined as the dimension of the associated eigenspace, i.e. number of linearly independent eigenvectors with that eigenvalue.
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What is geometric multiplicity eigenvalue ?
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The geometric multiplicity of an eigenvalue is the number of linearly independent eigenvectors associated with it. That is, it is the dimension of the nullspace of A – eI. In the example above, 1 has algebraic multiplicity two and geometric multiplicity 1.
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