Note Set 18e: Algebraic and geometric multiplicity for eigenthings | Matrixology

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Slide Set 18d: Solving $\mathbf{A}\vec{x}=\vec{b}$ with determinants and Cramer's Rule

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Slide Set 19a: Sneaky Monk Tricks for Eigenstuff

Note Set 18e: Algebraic and geometric multiplicity for eigenthings

We contend with the disappointing truth that some matrices do not have a full complement of eigenvectors. Problems arise when eigenvalues are repeated in a matrix's characteristic equation. The number of times an eigenvalue repeats is its algebraic multiplicity and the dimension of the associated eigenspace is its geometric multiplicity.
Best consumed by 2016/10/31

Covered in this episode:

18e: Algebraic and geometric multiplicity for eigenthings

Slide Set 18d: Solving $\mathbf{A}\vec{x}=\vec{b}$ with determinants and Cramer's Rule

All Slides

Slide Set 19a: Sneaky Monk Tricks for Eigenstuff