College Algebra (10th Edition)
10th Edition
ISBN: 9780321979476
Author: Michael Sullivan
Publisher: PEARSON
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Chapter 4.4, Problem 32RYK
To determine
To find: The expression and express in
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Assume {u1, U2, u3, u4} does not span R³.
Select the best statement.
A. {u1, U2, u3} spans R³ if u̸4 is a linear combination of other vectors in the set.
B. We do not have sufficient information to determine whether {u₁, u2, u3} spans R³.
C. {U1, U2, u3} spans R³ if u̸4 is a scalar multiple of another vector in the set.
D. {u1, U2, u3} cannot span R³.
E. {U1, U2, u3} spans R³ if u̸4 is the zero vector.
F. none of the above
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 vectors
are distinct.
n
B. If a set of vectors includes the zero vector 0, then the set of vectors spans R precisely when the set with 0
excluded 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 n
vectors.
○ D. If a set of vectors includes the zero vector 0, then there is no reasonable way to determine if the set of vectors
spans 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
Assume {u1, U2, u3, u4} does not span R³.
Select the best statement.
A. {u1, U2, u3} spans R³ if u̸4 is a linear combination of other vectors in the set.
B. We do not have sufficient information to determine whether {u₁, u2, u3} spans R³.
C. {U1, U2, u3} spans R³ if u̸4 is a scalar multiple of another vector in the set.
D. {u1, U2, u3} cannot span R³.
E. {U1, U2, u3} spans R³ if u̸4 is the zero vector.
F. none of the above
Chapter 4 Solutions
College Algebra (10th Edition)
Ch. 4.1 - Prob. 1AYPCh. 4.1 - Prob. 2AYPCh. 4.1 - Prob. 3AYPCh. 4.1 - Prob. 4AYPCh. 4.1 - Prob. 5AYPCh. 4.1 - Prob. 6AYPCh. 4.1 - Prob. 7CVCh. 4.1 - Prob. 8CVCh. 4.1 - Prob. 9CVCh. 4.1 - Prob. 10CV
Ch. 4.1 - Prob. 11CVCh. 4.1 - Prob. 12CVCh. 4.1 - Prob. 13SBCh. 4.1 - Prob. 14SBCh. 4.1 - Prob. 15SBCh. 4.1 - Prob. 16SBCh. 4.1 - Prob. 17SBCh. 4.1 - Prob. 18SBCh. 4.1 - Prob. 19SBCh. 4.1 - Prob. 20SBCh. 4.1 - Prob. 21SBCh. 4.1 - Prob. 22SBCh. 4.1 - Prob. 23SBCh. 4.1 - Prob. 24SBCh. 4.1 - Prob. 25SBCh. 4.1 - Prob. 26SBCh. 4.1 - Prob. 27SBCh. 4.1 - Prob. 28SBCh. 4.1 - Prob. 29AECh. 4.1 - Prob. 30AECh. 4.1 - Prob. 31AECh. 4.1 - Prob. 32AECh. 4.1 - Prob. 33AECh. 4.1 - Prob. 34AECh. 4.1 - Prob. 35AECh. 4.1 - Prob. 36AECh. 4.1 - Prob. 37AECh. 4.1 - Prob. 38AECh. 4.1 - Prob. 39AECh. 4.1 - Prob. 40AECh. 4.1 - Prob. 41AECh. 4.1 - Prob. 42AECh. 4.1 - Prob. 43AECh. 4.1 - Prob. 44AECh. 4.1 - Prob. 45AECh. 4.1 - Prob. 46AECh. 4.1 - Prob. 47AECh. 4.1 - Prob. 48AECh. 4.1 - Prob. 49AECh. 4.1 - Prob. 50AECh. 4.1 - Prob. 51MPCh. 4.1 - Prob. 52MPCh. 4.1 - Prob. 53DWCh. 4.1 - Prob. 54DWCh. 4.1 - Prob. 55DWCh. 4.1 - Prob. 56DWCh. 4.1 - Prob. 57RYKCh. 4.1 - Prob. 58RYKCh. 4.1 - Prob. 59RYKCh. 4.1 - Prob. 60RYKCh. 4.2 - Prob. 1AYPCh. 4.2 - Prob. 2AYPCh. 4.2 - Prob. 3CVCh. 4.2 - Prob. 4CVCh. 4.2 - Prob. 5SBCh. 4.2 - Prob. 6SBCh. 4.2 - Prob. 7SBCh. 4.2 - Prob. 8SBCh. 4.2 - Prob. 9SBCh. 4.2 - Prob. 10SBCh. 4.2 - Prob. 11SBCh. 4.2 - Prob. 12SBCh. 4.2 - Prob. 13SBCh. 4.2 - Prob. 14SBCh. 4.2 - Prob. 15SBCh. 4.2 - Prob. 16SBCh. 4.2 - Prob. 17AECh. 4.2 - Prob. 18AECh. 4.2 - Prob. 19AECh. 4.2 - Prob. 20AECh. 4.2 - Prob. 21AECh. 4.2 - Prob. 22DWCh. 4.2 - Prob. 23DWCh. 4.2 - Prob. 24DWCh. 4.2 - Prob. 25DWCh. 4.2 - Prob. 26DWCh. 4.2 - Prob. 27RYKCh. 4.2 - Prob. 28RYKCh. 4.2 - Prob. 29RYKCh. 4.2 - Prob. 30RYKCh. 4.3 - Prob. 1AYPCh. 4.3 - Prob. 2AYPCh. 4.3 - Prob. 3AYPCh. 4.3 - Prob. 4AYPCh. 4.3 - Prob. 5CVCh. 4.3 - Prob. 6CVCh. 4.3 - Prob. 7CVCh. 4.3 - Prob. 8CVCh. 4.3 - Prob. 9CVCh. 4.3 - Prob. 10CVCh. 4.3 - Prob. 11CVCh. 4.3 - Prob. 12CVCh. 4.3 - Prob. 13SBCh. 4.3 - Prob. 14SBCh. 4.3 - Prob. 15SBCh. 4.3 - Prob. 16SBCh. 4.3 - Prob. 17SBCh. 4.3 - Prob. 18SBCh. 4.3 - Prob. 19SBCh. 4.3 - Prob. 20SBCh. 4.3 - Prob. 21SBCh. 4.3 - Prob. 22SBCh. 4.3 - Prob. 23SBCh. 4.3 - Prob. 24SBCh. 4.3 - Prob. 25SBCh. 4.3 - Prob. 26SBCh. 4.3 - Prob. 27SBCh. 4.3 - Prob. 28SBCh. 4.3 - Prob. 29SBCh. 4.3 - Prob. 30SBCh. 4.3 - Prob. 31SBCh. 4.3 - Prob. 32SBCh. 4.3 - Prob. 33SBCh. 4.3 - Prob. 34SBCh. 4.3 - Prob. 35SBCh. 4.3 - Prob. 36SBCh. 4.3 - Prob. 37SBCh. 4.3 - Prob. 38SBCh. 4.3 - Prob. 39SBCh. 4.3 - Prob. 40SBCh. 4.3 - Prob. 41SBCh. 4.3 - Prob. 42SBCh. 4.3 - Prob. 43SBCh. 4.3 - Prob. 44SBCh. 4.3 - Prob. 45SBCh. 4.3 - Prob. 46SBCh. 4.3 - Prob. 47SBCh. 4.3 - Prob. 48SBCh. 4.3 - Prob. 49SBCh. 4.3 - Prob. 50SBCh. 4.3 - Prob. 51SBCh. 4.3 - Prob. 52SBCh. 4.3 - Prob. 53SBCh. 4.3 - Prob. 54SBCh. 4.3 - Prob. 55SBCh. 4.3 - Prob. 56SBCh. 4.3 - Prob. 57SBCh. 4.3 - Prob. 58SBCh. 4.3 - Prob. 59SBCh. 4.3 - Prob. 60SBCh. 4.3 - Prob. 61SBCh. 4.3 - Prob. 62SBCh. 4.3 - Prob. 63MPCh. 4.3 - Prob. 64MPCh. 4.3 - Prob. 65MPCh. 4.3 - Prob. 66MPCh. 4.3 - Prob. 67MPCh. 4.3 - Prob. 68MPCh. 4.3 - Prob. 69MPCh. 4.3 - Prob. 70MPCh. 4.3 - Prob. 71AECh. 4.3 - Prob. 72AECh. 4.3 - Prob. 73AECh. 4.3 - Prob. 74AECh. 4.3 - Prob. 75AECh. 4.3 - Prob. 76AECh. 4.3 - Prob. 77AECh. 4.3 - Prob. 78AECh. 4.3 - Prob. 79AECh. 4.3 - Prob. 80AECh. 4.3 - Prob. 81AECh. 4.3 - Prob. 82AECh. 4.3 - Prob. 83AECh. 4.3 - Prob. 84AECh. 4.3 - Prob. 85AECh. 4.3 - Prob. 86AECh. 4.3 - Prob. 87AECh. 4.3 - Prob. 88AECh. 4.3 - Prob. 89AECh. 4.3 - Prob. 90AECh. 4.3 - Prob. 91AECh. 4.3 - Prob. 92AECh. 4.3 - Prob. 93AECh. 4.3 - Prob. 94DWCh. 4.3 - Prob. 95DWCh. 4.3 - Prob. 96DWCh. 4.3 - Prob. 97DWCh. 4.3 - Prob. 98DWCh. 4.3 - Prob. 99DWCh. 4.3 - Prob. 100DWCh. 4.3 - Prob. 101RYKCh. 4.3 - Prob. 102RYKCh. 4.3 - Prob. 103RYKCh. 4.3 - Prob. 104RYKCh. 4.4 - Prob. 1AYPCh. 4.4 - Prob. 2AYPCh. 4.4 - Prob. 3AECh. 4.4 - Prob. 4AECh. 4.4 - Prob. 5AECh. 4.4 - Prob. 6AECh. 4.4 - Prob. 7AECh. 4.4 - Prob. 8AECh. 4.4 - Prob. 9AECh. 4.4 - Prob. 10AECh. 4.4 - Prob. 11AECh. 4.4 - Prob. 12AECh. 4.4 - Prob. 13AECh. 4.4 - Prob. 14AECh. 4.4 - Prob. 15AECh. 4.4 - Prob. 16AECh. 4.4 - Prob. 17AECh. 4.4 - Prob. 18AECh. 4.4 - Prob. 19AECh. 4.4 - Prob. 20AECh. 4.4 - Prob. 21AECh. 4.4 - Prob. 22AECh. 4.4 - Prob. 23AECh. 4.4 - Prob. 24AECh. 4.4 - Prob. 25AECh. 4.4 - Prob. 26AECh. 4.4 - Prob. 27MPCh. 4.4 - Prob. 28MPCh. 4.4 - Prob. 29MPCh. 4.4 - Prob. 30MPCh. 4.4 - Prob. 31DWCh. 4.4 - Prob. 32RYKCh. 4.4 - Prob. 33RYKCh. 4.4 - Prob. 34RYKCh. 4.4 - Prob. 35RYKCh. 4.5 - Prob. 1AYPCh. 4.5 - Prob. 2AYPCh. 4.5 - Prob. 3SBCh. 4.5 - Prob. 4SBCh. 4.5 - Prob. 5SBCh. 4.5 - Prob. 6SBCh. 4.5 - Prob. 7SBCh. 4.5 - Prob. 8SBCh. 4.5 - Prob. 9SBCh. 4.5 - Prob. 10SBCh. 4.5 - Prob. 11SBCh. 4.5 - Prob. 12SBCh. 4.5 - Prob. 13SBCh. 4.5 - Prob. 14SBCh. 4.5 - Prob. 15SBCh. 4.5 - Prob. 16SBCh. 4.5 - Prob. 17SBCh. 4.5 - Prob. 18SBCh. 4.5 - Prob. 19SBCh. 4.5 - Prob. 20SBCh. 4.5 - Prob. 21SBCh. 4.5 - Prob. 22SBCh. 4.5 - Prob. 23MPCh. 4.5 - Prob. 24MPCh. 4.5 - Prob. 25MPCh. 4.5 - Prob. 26MPCh. 4.5 - Prob. 27MPCh. 4.5 - Prob. 28MPCh. 4.5 - Prob. 29MPCh. 4.5 - Prob. 30MPCh. 4.5 - Prob. 31MPCh. 4.5 - Prob. 32MPCh. 4.5 - Prob. 33AECh. 4.5 - Prob. 34AECh. 4.5 - Prob. 35AECh. 4.5 - Prob. 36AECh. 4.5 - Prob. 37AECh. 4.5 - Prob. 38AECh. 4.5 - Prob. 39DWCh. 4.5 - Prob. 40DWCh. 4.5 - Prob. 41DWCh. 4.5 - Prob. 42DWCh. 4.5 - Prob. 43DWCh. 4.5 - Prob. 44RYKCh. 4.5 - Prob. 45RYKCh. 4.5 - Prob. 46RYKCh. 4.5 - Prob. 47RYK
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Similar questions
- Which of the following sets of vectors are linearly independent? (Check the boxes for linearly independent sets.) ☐ A. { 7 4 3 13 -9 8 -17 7 ☐ B. 0 -8 3 ☐ C. 0 ☐ D. -5 ☐ E. 3 ☐ F. 4 THarrow_forward3 and = 5 3 ---8--8--8 Let = 3 U2 = 1 Select all of the vectors that are in the span of {u₁, u2, u3}. (Check every statement that is correct.) 3 ☐ A. The vector 3 is in the span. -1 3 ☐ B. The vector -5 75°1 is in the span. ГОЛ ☐ C. The vector 0 is in the span. 3 -4 is in the span. OD. The vector 0 3 ☐ E. All vectors in R³ are in the span. 3 F. The vector 9 -4 5 3 is in the span. 0 ☐ G. We cannot tell which vectors are i the span.arrow_forward(20 p) 1. Find a particular solution satisfying the given initial conditions for the third-order homogeneous linear equation given below. (See Section 5.2 in your textbook if you need a review of the subject.) y(3)+2y"-y-2y = 0; y(0) = 1, y'(0) = 2, y"(0) = 0; y₁ = e*, y2 = e¯x, y3 = e−2x (20 p) 2. Find a particular solution satisfying the given initial conditions for the second-order nonhomogeneous linear equation given below. (See Section 5.2 in your textbook if you need a review of the subject.) y"-2y-3y = 6; y(0) = 3, y'(0) = 11 yc = c₁ex + c2e³x; yp = −2 (60 p) 3. Find the general, and if possible, particular solutions of the linear systems of differential equations given below using the eigenvalue-eigenvector method. (See Section 7.3 in your textbook if you need a review of the subject.) = a) x 4x1 + x2, x2 = 6x1-x2 b) x=6x17x2, x2 = x1-2x2 c) x = 9x1+5x2, x2 = −6x1-2x2; x1(0) = 1, x2(0)=0arrow_forward
- 4. In a study of how students give directions, forty volunteers were given the task ofexplaining to another person how to reach a destination. Researchers measured thefollowing five aspects of the subjects’ direction-giving behavior:• whether a map was available or if directions were given from memory without a map,• the gender of the direction-giver,• the distances given as part of the directions,• the number of times directions such as “north” or “left” were used,• the frequency of errors in directions.a) Identify each of the variables in this study, and whether each is quantitative orqualitative. For each quantitative variable, state whether it is discrete or continuousb) Was this an observational study or an experimental study? Explain your answerarrow_forwardFind the perimeter and areaarrow_forwardAssume {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 abovearrow_forward
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