Let T : V → V be a linear operator where V is finite dimensional. If U is a subspace of V , let U = {uo +T(u1)+.+T*(u½) : u; E U,0 < k

Linear Algebra: A Modern Introduction
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ISBN:9781285463247
Author:David Poole
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Chapter6: Vector Spaces
Section6.3: Change Of Basis
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Let T : V → V be a linear operator where V is finite dimensional. If U is a subspace of V , let
U = {uo +T(u1)+.+T*(u½) : u; E U,0 < k <o} . Show that U is a T -invariant subspace of
V.
Transcribed Image Text:Let T : V → V be a linear operator where V is finite dimensional. If U is a subspace of V , let U = {uo +T(u1)+.+T*(u½) : u; E U,0 < k <o} . Show that U is a T -invariant subspace of V.
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