Theorem 7.25. Let T be a linear operator on a finite-dimensional vector space V. Then V is a direct sum of T-cyclic subspaces C, (T), where each x, lies in K, for some irreducible monic divisor o(t) of the characteristic polynomia! of T.
Theorem 7.25. Let T be a linear operator on a finite-dimensional vector space V. Then V is a direct sum of T-cyclic subspaces C, (T), where each x, lies in K, for some irreducible monic divisor o(t) of the characteristic polynomia! of T.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.2: Norms And Distance Functions
Problem 33EQ
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