Answered: Assume {u1, U2, 13, 14} spans R³.… | bartleby

Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.1: Rectangular Coordinate Systems

Problem 21E

See similar textbooks

Related questions

Question

100%

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

Expert Solution

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Blurred answer

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)
Assume {u1, u2, U3 , U4 } does not R³. span Select the best statement. A. {u1, u2, u3 } spans R if u4 is a scalar multiple of another vector in the set. B. {u1, u2, ul3 } spans R if u4 is the zero vector. C. {u1, u2, u3 } spans R' if u4 is a linear combination of other vectors in the set. D. There is no easy way to tell if {u1, u2, u3 } spans R'. E. {u1 , u2, u3 } cannot span R’. 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
Suppose P1=(1,1), P2=(3,3), and P3=(5,6). Then, what is the numeric value of the cross product AxB of the vector A=P1P2 with the vector B=P2P3 ? Give a number as an answer. Ex. 73 or -123
d) the transpose of x. 2- If x= [2 8 5; 97 1], b=[2 4 5] find: a) find the maximum and minimum of x. b) add the vector b as a third row to x.
Let u4 be a linear combination of {u₁, U₂, U3}. Select the best statement. OA. {U₁, U₂, U3, U4} could be a linearly dependent or linearly dependent set of vectors depending on the vectors chosen. OB. {U₁, U2, U3, U4} is never 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 vector space chosen. OD. {U₁, U₂, U3, U4} is always a linearly dependent set of vectors. OE. {U₁, U2, U3, U4} is a linearly dependent set of vectors unless one of {u₁, U₂, U3 } is the zero vector. OF. none of the above
7. Show that the vectors A=4a, -2a, +2a, and B = -6ā, +3ā, -3ā, are parallel to each other.
4
Let {1₁, 1₂, 13, 14} be a linearly independent set of vectors. Select the best statement. OA. {1₁, 12, 13} could be a linearly independent or linearly dependent set of vectors depending on the vectors chosen. OB. {u₁, U₂, U3} is never a linearly independent set of vectors. OC. {1₁, 12, 13} is always a linearly independent set of vectors. D. none of the above

Recommended textbooks for you

Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

Linear Algebra: A Modern Introduction

Linear Algebra: A Modern Introduction

Algebra

ISBN:

9781285463247

Author:

David Poole

Publisher:

Cengage Learning

Elementary Linear Algebra (MindTap Course List)

Elementary Linear Algebra (MindTap Course List)

Algebra

ISBN:

9781305658004

Author:

Ron Larson

Publisher:

Cengage Learning

Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

Linear Algebra: A Modern Introduction

Linear Algebra: A Modern Introduction

Algebra

ISBN:

9781285463247

Author:

David Poole

Publisher:

Cengage Learning

Elementary Linear Algebra (MindTap Course List)

Elementary Linear Algebra (MindTap Course List)

Algebra

ISBN:

9781305658004

Author:

Ron Larson

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS