Determine whether the set S is linearly independent or linearly dependent.S = {(-5, -1, 6), (1, -1, 1), (9, 0, 0)}O linearly independentO linearly dependent Determine whether the set S spans R2. If the set does not span R2, then give a geometric description of the subspace that it does span.S = {(1, 2), (-1, 1)}O s spans R2.O s does not span R2. S spans a line in R?.O s does not span R2. S spans a point in R2.

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Answered: Determine whether the set S is linearly…

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter4: Vector Spaces

Section4.6: Rank Of A Matrix And Systems Of Linear Equations

Problem 67E: Let A be an mn matrix where mn whose rank is r. a What is the largest value r can be? b How many...

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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?
Repeat Exercise 41 for B={(1,2,2),(1,0,0)} and x=(3,4,4). 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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Determine whether the set S is linearly independent or linearly dependent. S = {(-5, -1, 6), (1, –1, 1), (9, 0, 0)} O linearly independent O linearly dependent