Elementary & Intermediate Algebra
4th Edition
ISBN: 9780134556079
Author: Sullivan, Michael, III, Struve, Katherine R., Mazzarella, Janet.
Publisher: Pearson,
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Chapter B.2, Problem 7E
To determine
To fill: The statement “Two
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Students have asked these similar questions
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
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
TH
Chapter B Solutions
Elementary & Intermediate Algebra
Ch. B.1 - 1.if two line segments have the same length they...Ch. B.1 - Prob. 2ECh. B.1 - Prob. 3ECh. B.1 - Prob. 4ECh. B.1 - In Problems 47, classify each angle as right,...Ch. B.1 - Prob. 6ECh. B.1 - Prob. 7ECh. B.1 - Prob. 8ECh. B.1 - Prob. 9ECh. B.1 - In problems 9 and 10 find the complement and...
Ch. B.1 - Prob. 11ECh. B.1 - Prob. 12ECh. B.1 - Prob. 13ECh. B.1 - Prob. 14ECh. B.1 - Prob. 15ECh. B.1 - In Problems 1522, classify each angle as right,...Ch. B.1 - Prob. 17ECh. B.1 - In Problems 1522, classify each angle as right,...Ch. B.1 - Prob. 19ECh. B.1 - In Problems 1522, classify each angle as right,...Ch. B.1 - Prob. 21ECh. B.1 - In Problems 1522, classify each angle as right,...Ch. B.1 - Prob. 23ECh. B.1 - In Problems 2326, find the complement of each...Ch. B.1 - Prob. 25ECh. B.1 - In Problems 2326, find the complement of each...Ch. B.1 - Prob. 27ECh. B.1 - In Problems 27-30, find the supplement of each...Ch. B.1 - Prob. 29ECh. B.1 - In Problems 27-30, find the supplement of each...Ch. B.1 - Prob. 31ECh. B.1 - In Problems 31 and 32, find the measure of angles...Ch. B.2 - A triangle in which two sides are congruent is...Ch. B.2 - Prob. 2ECh. B.2 - Prob. 3ECh. B.2 - Prob. 4ECh. B.2 - Prob. 5ECh. B.2 - Prob. 6ECh. B.2 - Prob. 7ECh. B.2 - Prob. 8ECh. B.2 - Prob. 9ECh. B.2 - Prob. 10ECh. B.2 - Prob. 11ECh. B.2 - Prob. 12ECh. B.2 - Prob. 13ECh. B.2 - Prob. 14ECh. B.2 - Prob. 15ECh. B.2 - In Problems 15-18, find the measure of the missing...Ch. B.2 - Prob. 17ECh. B.2 - In Problems 15-18, find the measure of the missing...Ch. B.2 - Prob. 19ECh. B.2 - In Problems 19-22, determine the length of the...Ch. B.2 - Prob. 21ECh. B.2 - In Problems 19-22, determine the length of the...Ch. B.2 - Prob. 23ECh. B.2 - In Problems 23-26, find the length of a diameter...Ch. B.2 - Prob. 25ECh. B.2 - Prob. 26ECh. B.2 - Prob. 27ECh. B.2 - In Problems 27-30, find the length of a radius of...Ch. B.2 - Prob. 29ECh. B.2 - Prob. 30ECh. B.3 - The __________ of a polygon is the distance around...Ch. B.3 - The ____________ of a polygon is the amount of...Ch. B.3 - Prob. 3ECh. B.3 - Prob. 4ECh. B.3 - Prob. 5ECh. B.3 - Prob. 6ECh. B.3 - Prob. 7ECh. B.3 - Prob. 8ECh. B.3 - Prob. 9ECh. B.3 - Prob. 10ECh. B.3 - Prob. 11ECh. B.3 - Prob. 12ECh. B.3 - Prob. 13ECh. B.3 - Prob. 14ECh. B.3 - Prob. 15ECh. B.3 - Prob. 16ECh. B.3 - Prob. 17ECh. B.3 - Prob. 18ECh. B.3 - Prob. 19ECh. B.3 - In Problems 19-22, find the perimeter and area of...Ch. B.3 - Prob. 21ECh. B.3 - Prob. 22ECh. B.3 - Prob. 23ECh. B.3 - In Problems 23 and 24, find the perimeter and area...Ch. B.3 - Prob. 25ECh. B.3 - In Problems 25-28, find the perimeter and area of...Ch. B.3 - Prob. 27ECh. B.3 - Prob. 28ECh. B.3 - Prob. 29ECh. B.3 - In Problems 29-36, find the perimeter and area of...Ch. B.3 - Prob. 31ECh. B.3 - Prob. 32ECh. B.3 - Prob. 33ECh. B.3 - In Problems 29-36, find the perimeter and area of...Ch. B.3 - Prob. 35ECh. B.3 - In Problems 29-36, find the perimeter and area of...Ch. B.3 - In Problems 37-40, find the perimeter and area of...Ch. B.3 - In Problems 37-40, find the perimeter and area of...Ch. B.3 - Prob. 39ECh. B.3 - Prob. 40ECh. B.3 - Prob. 41ECh. B.3 - In Problems 41-44, find (a) the circumference and...Ch. B.3 - Prob. 43ECh. B.3 - Prob. 44ECh. B.3 - Prob. 45ECh. B.3 - Prob. 46ECh. B.3 - Prob. 47ECh. B.3 - Prob. 48ECh. B.4 - A ___________ is a three-dimensional solid formed...Ch. B.4 - Prob. 2ECh. B.4 - Prob. 3ECh. B.4 - Prob. 4ECh. B.4 - Prob. 5ECh. B.4 - Prob. 6ECh. B.4 - Prob. 7ECh. B.4 - Find the volume V and surface area S of a...Ch. B.4 - Prob. 9ECh. B.4 - Find the volume V and surface area S of a square...Ch. B.4 - Prob. 11ECh. B.4 - A sphere with radius 10 inches.Ch. B.4 - Prob. 13ECh. B.4 - In Problems 11-16, find the exact and approximate...Ch. B.4 - Prob. 15ECh. B.4 - In Problems 11-16, find the exact and approximate...Ch. B.4 - Prob. 17ECh. B.4 - Water for the Horses A trough for horses in the...Ch. B.4 - Prob. 19ECh. B.4 - Prob. 20ECh. B.4 - Ice Cream Cone A waffle cone for ice cream has a...Ch. B.4 - Prob. 22E
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- 3 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_forwardFind the perimeter and areaarrow_forward
- 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 abovearrow_forwardAssume {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 abovearrow_forwardLet H = span {u, v}. For each of the following sets of vectors determine whether H is a line or a plane. Select an Answer u = 3 1. -10 8-8 -2 ,v= 5 Select an Answer -2 u = 3 4 2. + 9 ,v= 6arrow_forward
- 3. Let M = (a) - (b) 2 −1 1 -1 2 7 4 -22 Find a basis for Col(M). Find a basis for Null(M).arrow_forwardSchoology X 1. IXL-Write a system of X Project Check #5 | Schx Thomas Edison essay, x Untitled presentation ixl.com/math/algebra-1/write-a-system-of-equations-given-a-graph d.net bookmarks Play Gimkit! - Enter... Imported Imported (1) Thomas Edison Inv... ◄›) What system of equations does the graph show? -8 -6 -4 -2 y 8 LO 6 4 2 -2 -4 -6 -8. 2 4 6 8 Write the equations in slope-intercept form. Simplify any fractions. y = y = = 00 S olo 20arrow_forwardEXERCICE 2: 6.5 points Le plan complexe est rapporté à un repère orthonormé (O, u, v ).Soit [0,[. 1/a. Résoudre dans l'équation (E₁): z2-2z+2 = 0. Ecrire les solutions sous forme exponentielle. I b. En déduire les solutions de l'équation (E2): z6-2 z³ + 2 = 0. 1-2 2/ Résoudre dans C l'équation (E): z² - 2z+1+e2i0 = 0. Ecrire les solutions sous forme exponentielle. 3/ On considère les points A, B et C d'affixes respectives: ZA = 1 + ie 10, zB = 1-ie 10 et zc = 2. a. Déterminer l'ensemble EA décrit par le point A lorsque e varie sur [0, 1. b. Calculer l'affixe du milieu K du segment [AB]. C. Déduire l'ensemble EB décrit par le point B lorsque varie sur [0,¹ [. d. Montrer que OACB est un parallelogramme. e. Donner une mesure de l'angle orienté (OA, OB) puis déterminer pour que OACB soit un carré.arrow_forward
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