Select the best statement.A. If a set of vectors includes the zero vector 0, then the set of vectors can span R^ as long as the other vectorsare distinct.nB. If a set of vectors includes the zero vector 0, then the set of vectors spans R precisely when the set with 0excluded spans Rª.○ C. If a set of vectors includes the zero vector 0, then the set of vectors can span Rn as long as it contains nvectors.○ D. If a set of vectors includes the zero vector 0, then there is no reasonable way to determine if the set of vectorsspans Rn.E. If a set of vectors includes the zero vector 0, then the set of vectors cannot span Rn.F. none of the above

In linear algebra, a set of vectors spans a space if their linear combinations fill the space. The…

Answered: Select the best statement. A. If a set…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter8: Applications Of Trigonometry

Section8.4: The Dot Product

Problem 46E

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Use a software program or a graphing utility to write v as a linear combination of u1, u2, u3, u4, u5 and u6. Then verify your solution. v=(10,30,13,14,7,27) u1=(1,2,3,4,1,2) u2=(1,2,1,1,2,1) u3=(0,2,1,2,1,1) u4=(1,0,3,4,1,2) u5=(1,2,1,1,2,3) u6=(3,2,1,2,3,0)
Determine whether each vector is a scalar multiple of z=(3,2,5). a v=(92,3,152) b w=(9,6,15)
ASAP. Thanks.
Let u = <-1,1>, v = <-3,4>, and w = <0,-2>. find uw
. Create a vector named prob18a that has 10 elements of which the first is 8, the increment is 7, and the last element is 71. Then, assign elements of prob18a to a new vector prob18b such that prob18b has 7 elements. The first 4 elements of prob18b are the first 4 elements of the vector prob18a and the last 3 elements of prob18b are the last 3 elements of prob18a. Do not type the vector elements explicitly.
3. If a = 3x - 5ỹ and b = -2x +9y, write the vector 5a-86 in terms of x and y
40. Given a = (3,-4) and b = (1, 2). Find the vector a + 2b a. (5,-8) b.(5,0) c.(4,-4) d. (4,0)
Set û= 2 1 and w= -1 Write V = as a linear combination of these two vectors 1 For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). B I Paragraph Arial 14рх Is ABC 由用国 İ (}} > !!! !!! +] >
39. Given a = (3, -4) and b = (1, 2). Find the vector 2 a. (3,4) a. b. 2,4) c. (6,-8) d. (5,-2)
(Use R) Suppose x and y are two vectors of names of same length which are separated with a space. Write a code that finds the name(s) that are common to both vectors. For example, if x and y are the following vectors, X y dog cat rat bat cat dad dog monster it should return "dog" and "cat."
Let u4 be a vector that is not a linear combination of {u₁, U₂, U3, }. Select the best statement. © A. span{u₁, U₂, U3 } = span{u₁, U₂, U3, U4 } . B. There is no obvious relationship between span{u₁, U₂, U3) and span{u₁, U₂, U3, U4} . © C. span{u₁, U₂, U3} is a proper subset of span{u₁, U₂, U3, U4 } . © D. span{u₁, U₂, U3 } = span{U₁, U₂, U3, U4} when none of {u₁, U₂, U3, } is a linear combination of the others. E. We only know that span{u₁, U₂, U3} C span{u₁, U₂, U3, U4 }. F. We only know that span{U₁, U₂, U3, U4 } C span{u₁, U₂, U3 } . OG. none of the above
Please choose the right answer for the statement below: Suppose V1,V2,V3,V4,V5 are five vectors in the space R³ Then number of redundant vectors.... must be two can be any number from 0 to 3 can be any number from two to five

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