Vi and V2 be subspaces of R* (over R) Their intersection V=v,nV; is the set of all vectors that lie both in V1 and in V2. Show that V is a subspace of R".
Vi and V2 be subspaces of R* (over R) Their intersection V=v,nV; is the set of all vectors that lie both in V1 and in V2. Show that V is a subspace of R".
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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Transcribed Image Text:Let \( V_1 \) and \( V_2 \) be subspaces of \( \mathbb{R}^n \) (over \( \mathbb{R} \)). Their intersection \( V = V_1 \cap V_2 \) is the set of all vectors that lie both in \( V_1 \) and in \( V_2 \). Show that \( V \) is a subspace of \( \mathbb{R}^n \).
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