16.-Linear-Algebra-by-Kenneth-Hoffman · Problem 6.6.1

Elementary Canonical Forms

Mathematics — Linear Algebra · complementary-subspace

Problem

Let VV be a finite-dimensional vector space and let W1W_1 be any subspace of VV. Prove that there is a subspace W2W_2 of VV such that V=W1⊕W2V = W_1 \oplus W_2.

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