3. Let V be a finite-dimensional vector space, and let W1 be any subspace of V. Prove that there is a subspace W2 of V such that V = W1 © W2.
3. Let V be a finite-dimensional vector space, and let W1 be any subspace of V. Prove that there is a subspace W2 of V such that V = W1 © W2.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.3: Change Of Basis
Problem 21EQ
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