1. Let V = R³, the vector space over R of dimension 3.of IZGive an example of a subspacWAL 1diferent bases of V.(c) Show that the following is a scalar product (,) on V:43a(u, v)Σaibiwhere u = a2v=b₂i=1b3n example of a vector iwith Tongun(e) Use the Gram-Schmidt Process (or otherwise) to find an orthogonal basis for V containingthe vector w₁=0=b₁

Answered: Image /qna-images/answer/2dcfd6ee-f8cd-477e-86e4-3ffab22a62c6.jpg

Let V = R³, the vector space over R of dimension 3. Give an example of a subspac dimerem bases of V. (c) Show that the following is a scalar product (,) on V: 3 a1 b₁ (u, v) := Sabi where u= a₂ v= b₂ i=1 a3 b3 example of a vector i di lungon of (e) Use the Gram-Schmidt Process (or otherwise) to find an orthogonal basis for V containing the vector w₁ = A 0 "

Let V = R³, the vector space over R of dimension 3. Give an example of a subspac dimerem bases of V. (c) Show that the following is a scalar product (,) on V: 3 a1 b₁ (u, v) := Sabi where u= a₂ v= b₂ i=1 a3 b3 example of a vector i di lungon of (e) Use the Gram-Schmidt Process (or otherwise) to find an orthogonal basis for V containing the vector w₁ = A 0 "

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Inner Product Spaces

Section5.CR: Review Exercises

Problem 54CR: Let V be an two dimensional subspace of R4 spanned by (0,1,0,1) and (0,2,0,0). Write the vector...

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