6. Let V be a vector space and let U1 and U2 be subspaces of V. Show that if U1 U U2 is a subspace of V then either U1 C U2 or U2 C U1. Hint: Show that if U1 is not contained in U2 and U2 is not contained in U1 then U1 U U2 is not closed under addition.
6. Let V be a vector space and let U1 and U2 be subspaces of V. Show that if U1 U U2 is a subspace of V then either U1 C U2 or U2 C U1. Hint: Show that if U1 is not contained in U2 and U2 is not contained in U1 then U1 U U2 is not closed under addition.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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