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How can I determine an algebraic multiplicity of eigenvalue… Question and solution inside?

April 26, 2017algebraic determine eigenvalue Mathematics multiplicity solution

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How can I determine an algebraic multiplicity of eigenvalue… Question and solution inside?

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Algebraic multiplicity of eigenvalue = the number of repetitions of a certain eigenvalue. For example, for a certain matrix, λ= {3,3,4}, then algebraic multiplicity of 3 would be 2 (3 appears twice) and algebraic multiplicity of 4 would 1 ( 4 appear once).