advanced-linear-algebra

The Jordan canonical form

taught

Every operator, diagonalizable or not, is similar to a block-diagonal matrix of Jordan blocks -- the canonical form diagonalization was only ever a special case of.

Taught in

The Jordan canonical form
Advanced Linear Algebra

Requires

jordan-chains required

Required by

Computing the Jordan form from rank counts and dot diagrams required
Functions of a general matrix, via Jordan blocks required
The Cayley-Hamilton theorem required
The Jordan-Chevalley (S + N) decomposition required

Local knowledge map

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