< Panz of 2 Let W be the set of all vectors of the form shown on the right, where band care arbitrary Find vectors wand v such that W-Span) Why does this show that Wis a subspace of R³? Using the given vector space, write vectors u and v such t (uw) = -9 W-Spanju, v (Use a comma to separate answers as needed) Choose the correct theorem that indicates why these vectors show that Wis a subspace of it. OA Ifv, v, are in a vector space V, then Span(vv) is a subspace of V B. The column space of an mxn matrix A is a subspace of R OC. An indexed set (₁) of two or more vectors in a vector space V, with v, D. The nut space of an mxn matrix is a subspace of R. Equivalenty the set of all solutions to a systema is a subspace of Vit and only if some in Span 0 of m homogeneous inear equations Clear all

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 48E
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Let W be the set of all vectors of the form shown on the right, where b and care arbitrary Find vectors u and v such that W-Spanju, v). Why
does this show that W is a subspace of R³?
Using the given vector space, write vectors u and v such that W-Span(u, v)
(u, v)
0
(Use a comma to separate answers as needed)
Choose the correct theorem that indicates why these vectors show that Wis a subspace of it?
OA IvV are in a vector space V., then Span() is a subspace of V
B. The column space of an mxn matric A is a subspace of R
OC. An indexed set (₁) v) of two or more vectors in a vector space V, with v,
is a subspace of Vit and only if some in Span
OD. The null space of an mxn matrix is a subspace of R" Equivalenty, the set of all solutions to a system Ax-0 of m homogeneous linear equations in una supe
not more help.
40-9
Clear all
Final check
Save
Transcribed Image Text:← Let W be the set of all vectors of the form shown on the right, where b and care arbitrary Find vectors u and v such that W-Spanju, v). Why does this show that W is a subspace of R³? Using the given vector space, write vectors u and v such that W-Span(u, v) (u, v) 0 (Use a comma to separate answers as needed) Choose the correct theorem that indicates why these vectors show that Wis a subspace of it? OA IvV are in a vector space V., then Span() is a subspace of V B. The column space of an mxn matric A is a subspace of R OC. An indexed set (₁) v) of two or more vectors in a vector space V, with v, is a subspace of Vit and only if some in Span OD. The null space of an mxn matrix is a subspace of R" Equivalenty, the set of all solutions to a system Ax-0 of m homogeneous linear equations in una supe not more help. 40-9 Clear all Final check Save
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