1. Let H be the subspace of RS defined by:11223H = span-22%D3-442а.Find a basis B of H. What is the dimension of H?-2b.Show that the vector x =5is in H.-8-10с.Find the B-coordinate [x]; of x using your basis from part a.

Answered: Image /qna-images/answer/28abeea3-69b1-43e4-bd84-bc4f74419946.jpg

Answered: 1. Let H be the subspace of RS defined…

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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1. Let H be the subspace of RS defined by: 1 1 2 2 3 H = span -2 2 %D 3 -4 4 2 а. Find a basis B of H. What is the dimension of H? -2 b. Show that the vector x = is in H. -8 -10 с. Find the B-coordinate [x]B of x using your basis from part a.