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

See similar textbooks

Similar questions

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.
10. If 3(a, 3, 2) – 2(3, b, b) = (-3, 1, –2), determine a and b. Describe the set spanned by the vectors.
Assume {u1, U2, us} spans R³. Select the best statement. A. {U1, U2, us, u4} spans R³ unless u is the zero vector. B. {U1, U2, us, u4} always spans R³. C. {U1, U2, us, u4} spans R³ unless u is a scalar multiple of another vector in the set. D. We do not have sufficient information to determine if {u₁, u2, 43, 114} spans R³. OE. {U1, U2, 3, 4} never spans R³. F. none of the above
. 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.
Assume {u1, U2, 13, 14} spans R³. Select the best statement. A. {U1, U2, u3} never spans R³ since it is a proper subset of a spanning set. B. {U1, U2, u3} spans R³ unless one of the vectors is the zero vector. C. {u1, U2, us} spans R³ unless one of the vectors is a scalar multiple of another vector in the set. D. {U1, U2, us} always spans R³. E. {U1, U2, u3} may, but does not have to, span R³. F. none of the above
Let u be a linear combination of {1₁, 1₂, 13). Select the best statement. OA. {U₁, U₂, U3, U4} is a linearly dependent set of vectors unless one of {1₁, 12, 13} is the zero vector. OB. (U₁, U₂, U3, U4} is always a linearly dependent set of vectors. OC. {U₁, U₂, U3, U4} could be a linearly dependent or linearly dependent set of vectors depending on the vectors chosen. OD. {U₁, U₂, U3, U4} could be a linearly dependent or linearly dependent set of vectors depending on the vector space chosen. OE. {U₁, U₂, U3, U4} is never a linearly dependent set of vectors. OF. none of the above
Let u and v be vectors in a Euclidean space. Select the best statement. A. The difference u - v may not be defined. B. The difference u – v is found by adding u to-v. C. The difference u - v cannot be computed by a simple formula. D. The difference u – v is found by adding -u to -v. E. The difference u – v is found by adding u to V. F. none of the above
) Let A = (4, -4, 4, 0) and B = (-4, 3, -4, 1) be points in R*. a. Find the vector AB in R“. help (vectors) b. Find a vector in the direction of AB that is 2 times as long as AB. help (vectors) c. Find a vector in the direction opposite AB that is 2 times as long as AB. help (vectors) d. Find a unit vector in the direction of AB. help (vectors) e. Find a vector in the direction of AB that has length 2. help (vectors)
1. Suppose a and bare vectors such that a x b = (1, 0, 2). What is bx -2a *x (-2a² a. (-2, 0, -4) c. (1, 0, 2) d. (-4, 0, -2) b. (2,0,4)
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 (}} > !!! !!! +] >

SEE MORE QUESTIONS

Recommended textbooks for you

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

Linear Algebra: A Modern Introduction

Algebra

ISBN:

9781285463247

Author:

David Poole

Publisher:

Cengage Learning

Algebra: Structure And Method, Book 1

Algebra

ISBN:

9780395977224

Author:

Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:

McDougal Littell

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

Linear Algebra: A Modern Introduction

Algebra

ISBN:

9781285463247

Author:

David Poole

Publisher:

Cengage Learning

Algebra: Structure And Method, Book 1

Algebra

ISBN:

9780395977224

Author:

Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:

McDougal Littell

Elementary Linear Algebra (MindTap Course List)

Algebra

ISBN:

9781305658004

Author:

Ron Larson

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS