EBK PRECALCULUS
10th Edition
ISBN: 8220101460912
Author: Sullivan
Publisher: PEARSON
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Textbook Question
Chapter 13.1, Problem 14AYU
If , , and , find .
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5 37
A 4 8 0.5
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Consider the following system of equations, Ax=b :
x+2y+3z - w = 2
2x4z2w = 3
-x+6y+17z7w = 0
-9x-2y+13z7w = -14
a. Find the solution to the system. Write it as a parametric equation. You can use a
computer to do the row reduction.
b. What is a geometric description of the solution? Explain how you know.
c. Write the solution in vector form?
d. What is the solution to the homogeneous system, Ax=0?
2. Find a matrix A with the following qualities
a. A is 3 x 3.
b. The matrix A is not lower triangular and is not upper triangular.
c. At least one value in each row is not a 1, 2,-1, -2, or 0
d. A is invertible.
Chapter 13 Solutions
EBK PRECALCULUS
Ch. 13.1 - Prob. 1AYUCh. 13.1 - Prob. 2AYUCh. 13.1 - True or false The intersection of two sets is...Ch. 13.1 - Prob. 4AYUCh. 13.1 - Prob. 5AYUCh. 13.1 - Prob. 6AYUCh. 13.1 - True or False If a task consists of a sequence of...Ch. 13.1 - Prob. 7AYUCh. 13.1 - Prob. 9AYUCh. 13.1 - Prob. 10AYU
Ch. 13.1 - If n( A )=15 , n( B )=20 , and n( AB )=10 , find...Ch. 13.1 - If n( A )=30 , n( B )=40 , and n( AB )=45 , find...Ch. 13.1 - If n( AB )=50 , n( AB )=10 , and n( B )=20 , find...Ch. 13.1 - If n( AB )=60 , n( AB )=40 , and n( A )=n( B ) ,...Ch. 13.1 - In Problems 15-22, use ihe information given in...Ch. 13.1 - In Problems 15-22, use ihe information given in...Ch. 13.1 - In Problems 15-22, use ihe information given in...Ch. 13.1 - In Problems 15-22, use ihe information given in...Ch. 13.1 - In Problems 15-22, use ihe information given in...Ch. 13.1 - In Problems 15-22, use ihe information given in...Ch. 13.1 - In Problems 15-22, use ihe information given in...Ch. 13.1 - In Problems 15-22, use ihe information given in...Ch. 13.1 - A man has shirts and ties. How many different...Ch. 13.1 - Blouses and Skirts A woman has 5 blouses and 8...Ch. 13.1 - Four-digit Numbers How many four-digit numbers can...Ch. 13.1 - Five-digit Numbers How many five-digit numbers can...Ch. 13.1 - Analyzing Survey Data In a consumer survey of ...Ch. 13.1 - Analyzing Survey Data In a student survey, 200...Ch. 13.1 - Analyzing Survey Data In a survey of 100 investors...Ch. 13.1 - Classifying Blood Types Human blood is classified...Ch. 13.1 - Prob. 31AYUCh. 13.1 - Prob. 32AYUCh. 13.1 - Stock Portfolios As a financial planner, you are...Ch. 13.1 - Prob. 34AYUCh. 13.1 - Prob. 36AYUCh. 13.1 - Prob. 37AYUCh. 13.1 - Prob. 38AYUCh. 13.1 - Prob. 39AYUCh. 13.2 - 0!= ; 1!= . (p. 642)Ch. 13.2 - Prob. 2AYUCh. 13.2 - A(n) __________ is an ordered arrangement of r...Ch. 13.2 - A(n) ___________ is an arrangement of r objects...Ch. 13.2 - P( n,r )= __________________.Ch. 13.2 - C( n,r )= _______________________.Ch. 13.2 - In Problems 7-14, find the value of each...Ch. 13.2 - In Problems 7-14, find the value of each...Ch. 13.2 - In Problems 7-14, find the value of each...Ch. 13.2 - In Problems 7-14, find the value of each...Ch. 13.2 - In Problems 7-14, find the value of each...Ch. 13.2 - In Problems 7-14, find the value of each...Ch. 13.2 - In Problems 7-14, find the value of each...Ch. 13.2 - In Problems 7-14, find the value of each...Ch. 13.2 - In Problems 15-22, use formula (2) to find the...Ch. 13.2 - In Problems 15-22, use formula (2) to find the...Ch. 13.2 - In Problems 15-22, use formula (2) to find the...Ch. 13.2 - In Problems 15-22, use formula (2) to find the...Ch. 13.2 - In Problems 15-22, use formula (2) to find the...Ch. 13.2 - In Problems 15-22, use formula (2) to find the...Ch. 13.2 - In Problems 15-22, use formula (2) to find the...Ch. 13.2 - Prob. 22AYUCh. 13.2 - List all the ordered arrangements of 5 objects a ,...Ch. 13.2 - List all the ordered arrangements of 5 objects a ,...Ch. 13.2 - List all the ordered arrangements of 4 objects 1,...Ch. 13.2 - List all the ordered arrangements of 6 objects 1,...Ch. 13.2 - List all the combinations of 5 objects a , b , c ,...Ch. 13.2 - List all the combinationss of 5 objects a , b , c...Ch. 13.2 - List all the combinations of 4 objects 1, 2, 3,...Ch. 13.2 - List all the combinationss of 6 objects 1, 2, 3,...Ch. 13.2 - Forming Codes How many two-letter codes can be...Ch. 13.2 - Forming Codes How many two-letter codes can be...Ch. 13.2 - Forming Numbers How many three-digit numbers can...Ch. 13.2 - Forming Numbers How many three-digit numbers can...Ch. 13.2 - Lining People Up In how many ways can 4 people be...Ch. 13.2 - Stacking Boxes In how many ways can 5 different...Ch. 13.2 - Forming Codes How many different three-letter...Ch. 13.2 - Forming Codes How many different four-letter codes...Ch. 13.2 - Stocks on the NYSE Companies whose stocks are...Ch. 13.2 - Stocks on the NASDAQ Companies whose stocks are...Ch. 13.2 - Establishing Committees In how many ways can a...Ch. 13.2 - Establishing Committees In how many ways can a...Ch. 13.2 - Possible Answers on a True/False Test How many...Ch. 13.2 - Possible Answers on a Multiple-choice Test How...Ch. 13.2 - Arranging Books Five different mathematics books...Ch. 13.2 - Prob. 46AYUCh. 13.2 - Birthday Problem In how many ways can 2 people...Ch. 13.2 - Prob. 48AYUCh. 13.2 - Prob. 49AYUCh. 13.2 - Prob. 50AYUCh. 13.2 - Forming Words How many different 9-letter words...Ch. 13.2 - Prob. 52AYUCh. 13.2 - Selecting Objects An urn contains 7 white balls...Ch. 13.2 - Prob. 54AYUCh. 13.2 - Prob. 55AYUCh. 13.2 - Prob. 56AYUCh. 13.2 - Prob. 57AYUCh. 13.2 - Prob. 58AYUCh. 13.2 - Prob. 59AYUCh. 13.2 - Prob. 60AYUCh. 13.2 - Prob. 61AYUCh. 13.2 - Prob. 62AYUCh. 13.2 - Combination Locks A combination lock displays 50...Ch. 13.2 - Prob. 64AYUCh. 13.2 - Prob. 65AYUCh. 13.2 - Prob. 66AYUCh. 13.2 - Problems 67-70 are based on material learned...Ch. 13.2 - Prob. 68AYUCh. 13.2 - Prob. 69AYUCh. 13.2 - Prob. 70AYUCh. 13.3 - When the same probability is assigned to each...Ch. 13.3 - Prob. 2AYUCh. 13.3 - Prob. 3AYUCh. 13.3 - Prob. 4AYUCh. 13.3 - In a probability model, which of the following...Ch. 13.3 - Prob. 6AYUCh. 13.3 - Determine whether the following is a probability...Ch. 13.3 - Prob. 8AYUCh. 13.3 - Prob. 9AYUCh. 13.3 - Prob. 10AYUCh. 13.3 - In Problems 11-16, construct a probability model...Ch. 13.3 - In Problems 11-16, construct a probability model...Ch. 13.3 - In Problems 11-16, construct a probability model...Ch. 13.3 - Prob. 14AYUCh. 13.3 - In Problems 11-16, construct a probability model...Ch. 13.3 - In Problems 11-16, construct a probability model...Ch. 13.3 - In Problems 17-22, use the following spinners to...Ch. 13.3 - In Problems 17-22, use the following spinners to...Ch. 13.3 - In Problems 17-22, use the following spinners to...Ch. 13.3 - In Problems 17-22, use the following spinners to...Ch. 13.3 - In Problems 17-22, use the following spinners to...Ch. 13.3 - In Problems 17-22, use the following spinners to...Ch. 13.3 - In Problems 23-26, consider the experiment of...Ch. 13.3 - In Problems 23-26, consider the experiment of...Ch. 13.3 - Prob. 25AYUCh. 13.3 - Prob. 26AYUCh. 13.3 - Assigning Probabilities A coin is weighted so that...Ch. 13.3 - Assigning Probabilities A coin is weighted so that...Ch. 13.3 - Assigning Probabilities A die is weighted so that...Ch. 13.3 - Assigning Probabilities A die is weighted so that...Ch. 13.3 - For Problems 31-34, the sample space is S={...Ch. 13.3 - For Problems 31-34, the sample space is S={...Ch. 13.3 - For Problems 31-34, the sample space is S={...Ch. 13.3 - For Problems 31-34, the sample space is S={...Ch. 13.3 - For Problems 35 and 36, an urn contains 5 white...Ch. 13.3 - For Problems 35 and 36, an urn contains 5 white...Ch. 13.3 - In Problems 37-40, assume equally likely outcomes....Ch. 13.3 - In Problems 37-40, assume equally likely outcomes....Ch. 13.3 - In Problems 37-40, assume equally likely outcomes....Ch. 13.3 - In Problems 37-40, assume equally likely outcomes....Ch. 13.3 - Prob. 41AYUCh. 13.3 - Prob. 42AYUCh. 13.3 - Prob. 43AYUCh. 13.3 - Prob. 45AYUCh. 13.3 - In Problems 45-48, find the probability of the...Ch. 13.3 - Prob. 47AYUCh. 13.3 - Prob. 48AYUCh. 13.3 - Prob. 49AYUCh. 13.3 - Prob. 50AYUCh. 13.3 - Prob. 51AYUCh. 13.3 - Prob. 52AYUCh. 13.3 - Prob. 53AYUCh. 13.3 - Prob. 54AYUCh. 13.3 - Prob. 55AYUCh. 13.3 - Prob. 56AYUCh. 13.3 - Prob. 57AYUCh. 13.3 - Prob. 58AYUCh. 13.3 - Prob. 59AYUCh. 13.3 - Prob. 60AYUCh. 13.3 - Prob. 61AYUCh. 13.3 - Prob. 62AYUCh. 13.3 - Prob. 63AYUCh. 13.3 - Prob. 64AYUCh. 13.3 - Problems are based on a survey of annual incomes...Ch. 13.3 - Prob. 66AYUCh. 13.3 - Surveys In a survey about the number of TV sets in...Ch. 13.3 - Prob. 68AYUCh. 13.3 - Prob. 69AYUCh. 13.3 - Prob. 70AYUCh. 13.3 - Prob. 71AYUCh. 13.3 - Prob. 72AYUCh. 13.3 - Prob. 73AYUCh. 13.3 - To graph g( x )=E| x+2 |3 , shift the graph of f(...Ch. 13.3 - Prob. 75AYUCh. 13.3 - Prob. 76AYUCh. 13.3 - Prob. 77AYUCh. 13 - Prob. 1RECh. 13 - Prob. 2RECh. 13 - Prob. 3RECh. 13 - Prob. 4RECh. 13 - Prob. 5RECh. 13 - Prob. 6RECh. 13 - Prob. 7RECh. 13 - Prob. 8RECh. 13 - Prob. 9RECh. 13 - Prob. 10RECh. 13 - Prob. 11RECh. 13 - Prob. 12RECh. 13 - Baseball On a given day, the American Baseball...Ch. 13 - Choosing Seats If 4 people enter a bus that has 9...Ch. 13 - Choosing a Team In how many ways can a squad of 4...Ch. 13 - Baseball In how many ways can 2 teams from 14...Ch. 13 - Prob. 17RECh. 13 - Prob. 18RECh. 13 - Prob. 19RECh. 13 - Arranging Flags How many different vertical...Ch. 13 - Prob. 21RECh. 13 - Prob. 22RECh. 13 - Prob. 23RECh. 13 - Prob. 24RECh. 13 - Prob. 25RECh. 13 - Prob. 26RECh. 13 - Prob. 1CTCh. 13 - In Problems, a survey of college freshmen asked...Ch. 13 - In Problems 14, a survey of 70college freshmen...Ch. 13 - In Problems 14, a survey of 70college freshmen...Ch. 13 - Prob. 5CTCh. 13 - Prob. 6CTCh. 13 - Prob. 7CTCh. 13 - MMs offers customers the opportunity to create...Ch. 13 - Prob. 9CTCh. 13 - Prob. 10CTCh. 13 - On February 20, 2004, the Ohio Bureau of Motor...Ch. 13 - Kiersten applies for admission to the University...Ch. 13 - A cooler contains 8 bottles of Pepsi, 5 bottles of...Ch. 13 - Prob. 14CTCh. 13 - Prob. 15CTCh. 13 - Prob. 16CTCh. 13 - Prob. 1CRCh. 13 - Prob. 2CRCh. 13 - Prob. 3CRCh. 13 - Prob. 4CRCh. 13 - Prob. 5CRCh. 13 - Prob. 6CRCh. 13 - Prob. 7CRCh. 13 - Prob. 8CRCh. 13 - Prob. 9CRCh. 13 - Prob. 10CRCh. 13 - Graph: y=3sin(2x+)Ch. 13 - Prob. 12CR
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