Let L: V→V be a linear transformation. a) If U₁, ..., Un are L-invariant subspaces, show that their sum is L-invariant. U₁+U₂+ + Un = {u₁ + U₂ + ... + Un : Ui € U₁}
Let L: V→V be a linear transformation. a) If U₁, ..., Un are L-invariant subspaces, show that their sum is L-invariant. U₁+U₂+ + Un = {u₁ + U₂ + ... + Un : Ui € U₁}
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.6: Introduction To Linear Transformations
Problem 26EQ
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