Archive for the ‘MA20012’ Category.

Adjoint

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Definition and properties of the adjoint. Proof of uniqueness. Notational issues.

Primary decomposition theorem

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

Projection

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

Nilpotent

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