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What is Cyclic Decomposition Theorem Explained about?

This document discusses the cyclic decomposition theorem, which describes how vector spaces can be decomposed into invariant subspaces under the action of linear transformations. The document begins by introducing polynomials over fields and some of their properties. It then discusses polynomials over rational numbers and introduces irreducible polynomials. The remainder of the document focuses on linear transformations and matrices, including topics like minimal polynomials, cyclic subspaces, the charact

Author

Yago Pereira

Language

EN