Algebraic Multiplicity — Topic Summaries
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Jordan Normal Form 2 | An Example [dark version]
A 4×4 matrix is worked through to find its Jordan normal form, with the key takeaway that eigenvalues and their multiplicities narrow the structure...
Linear Algebra 55 | Algebraic Multiplicity
Algebraic multiplicity measures how many times a particular eigenvalue shows up as a repeated root of the characteristic polynomial, and that...
Linear Algebra 57 | Spectrum of Triangular Matrices
Eigenvalues of triangular and certain block matrices can be read off directly—often without computing determinants or solving characteristic...
Linear Algebra 55 | Algebraic Multiplicity [dark version]
Algebraic multiplicity measures how many times a given eigenvalue shows up as a repeated root of the characteristic polynomial—so it’s the “counting...