Archive for the 'Algebra' Category

Primary decomposition theorem

Saturday, April 17th, 2004

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Statement and proof of the primary decomposition theorem for linear operators.

Projection

Friday, April 16th, 2004

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Description of projections and direct-sum decomposition of vector spaces.

Vandermonde determinant

Monday, March 1st, 2004

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A special matrix structure with an easy-to-find determinant.

Nilpotent

Sunday, March 16th, 2003

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Nilpotency in a variety of contexts- modular mathematics, ring theory, operators (with a structure theorem), and matrices.