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.

Name: Please see image Theorem 7.25. Let T be a linear operator on a finite-
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Description: Please see image Theorem 7.25. Let T be a linear operator on a finite-dimensional vectorspace V. Then V is a direct sum of T-cyclic subspaces C, (T), where each x, lies inK, for some irreducible monic divisor o(t) of the characteristic polynomia! of

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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