6|||- 6 and V₂ =43The vectors v₁ =orthonormal basis for W.N/W NIOform an orthogonal basis for W. Find anThe orthonormal basis of the subspace spanned by the vectors is(Use a comma to separate vectors as needed.)

Answered: Image /qna-images/answer/01b34ab3-4df8-49eb-aa28-b4e5a439df71.jpg

Answered: 6 The vectors v₁ = -6 and V₂ = 4…

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Inner Product Spaces

Section5.3: Orthonormal Bases:gram-schmidt Process

Problem 17E: Complete Example 2 by verifying that {1,x,x2,x3} is an orthonormal basis for P3 with the inner...

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Similar questions

Find an orthonormal basis for the subspace of Euclidean 3 space below. W={(x1,x2,x3):x1+x2+x3=0}
Let A be an mn matrix where mn whose rank is r. a What is the largest value r can be? b How many vectors are in a basis for the row space of A? c How many vectors are in a basis for the column space of A? d Which vector space Rk has the row space as a subspace? e Which vector space Rk has the column space as a subspace?
Let B={(0,2,2),(1,0,2)} be a basis for a subspace of R3, and consider x=(1,4,2), a vector in the subspace. a Write x as a linear combination of the vectors in B.That is, find the coordinates of x relative to B. b Apply the Gram-Schmidt orthonormalization process to transform B into an orthonormal set B. c Write x as a linear combination of the vectors in B.That is, find the coordinates of x relative to B.
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Find the bases for the four fundamental subspaces of the matrix. A=[010030101].
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Complete Example 2 by verifying that {1,x,x2,x3} is an orthonormal basis for P3 with the inner product p,q=a0b0+a1b1+a2b2+a3b3. An Orthonormal basis for P3. In P3, with the inner product p,q=a0b0+a1b1+a2b2+a3b3 The standard basis B={1,x,x2,x3} is orthonormal. The verification of this is left as an exercise See Exercise 17..
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6 The vectors v₁ = -6 and V₂ = 4 orthonormal basis for W. 9 2 13 2 3 form an orthogonal basis for W. Find an The orthonormal basis of the subspace spanned by the vectors is {}. (Use a comma to separate vectors as needed.)