What is the projection of v=e₁ +2e2 - 3e3 on H : x₁ + 2x2 + 4x4 = 0? 21
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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![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?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe46a919c-8d48-4a31-b042-7377e2a78dc3%2F8316f018-0f0b-4103-9924-42f8b692ec20%2Fobybde_processed.png&w=3840&q=75)
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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