multiplicity of eigenvalues

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The characteristic polynomial of a matrix may have repeated roots. If this is the case, the geometric multiplicity of a given eigenvalue (the dimension of the corresponding eigenspace) may be less than the algebraic multiplicity. This property determines whether a matrix is diagonalizable, and it is relevant to the solutions of differential equations.


This concept has the prerequisites:

Core resources (read/watch one of the following)


A First Course in Linear Algebra (2012)


See also

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