Lecture
Diagonalization: multiplicities
Description
This lecture covers the concept of geometric and algebraic multiplicities in the context of diagonalization of linear transformations. Geometric multiplicity refers to the dimension of the eigenspace associated with an eigenvalue, while algebraic multiplicity represents the exponent of the largest power of the characteristic polynomial. The lecture explores the relationship between these multiplicities and their implications for diagonalization, providing examples and proofs to illustrate the concepts.
Official source
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