Let V be a subspace of Rn. Then show that dim V = n − 1 if for some a 0.
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:3. What is the projection of v = e₁1 + 2e2 − 3e3 on H : x₁ + 2x2 + 4x4
= 0?
4. Let V be a subspace of Rn. Then show that dim V = n − 1 if and only if V = {x : a¹x = 0}
for some a 0.
5. (T) Does there exist a real matrix A, for which, the Row space and column space are same
but the null-space and left null-space are different?
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