3. Let V be a finite-dimensional vector space over F with T e L(V, V), and that U1 and U, are subspaces of V that are invariant under suppose T. Prove that U1 N U2 is also an invariant subspace of V under T.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.2: Linear Independence, Basis, And Dimension
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3. Let V be a finite-dimensional vector space over F with T e L(V, V),
and
that U1 and U, are subspaces of V that are invariant under
suppose
T. Prove that U1 N U2 is also an invariant subspace of V under T.
Transcribed Image Text:3. Let V be a finite-dimensional vector space over F with T e L(V, V), and that U1 and U, are subspaces of V that are invariant under suppose T. Prove that U1 N U2 is also an invariant subspace of V under T.
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