College Algebra (10th Edition)
10th Edition
ISBN: 9780321979476
Author: Michael Sullivan
Publisher: PEARSON
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Textbook Question
Chapter 10.1, Problem 3AYP
True or false The intersection of two sets is always a subset of their union. (pp. 2-3)
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Students have asked these similar questions
Question 4
(a) The following matrices represent linear maps on R² with respect to an
orthonormal basis:
=
[1/√5 2/√5
[2/√5 -1/√5]
"
[1/√5 2/√5]
A =
B =
[2/√5 1/√5] 1
C =
D =
=
=
[ 1/3/5 2/35]
1/√5 2/√5
-2/√5 1/√5'
For each of the matrices A, B, C, D, state whether it represents a self-adjoint
linear map, an orthogonal linear map, both, or neither.
(b) For the quadratic form
q(x, y, z) = y² + 2xy +2yz
over R, write down a linear change of variables to u, v, w such that q in these
terms is in canonical form for Sylvester's Law of Inertia.
[6]
[4]
part b please
Question 5
(a) Let a, b, c, d, e, ƒ Є K where K is a field. Suppose that the determinant of the
matrix
a cl
|df
equals 3 and the determinant of
determinant of the matrix
a+3b cl
d+3e f
ГЪ
e
[ c ] equals 2. Compute the
[5]
(b) Calculate the adjugate Adj (A) of the 2 × 2 matrix
[1 2
A
=
over R.
(c) Working over the field F3 with 3 elements, use row and column operations to put
the matrix
[6]
0123]
A
=
3210
into canonical form for equivalence and write down the canonical form. What is
the rank of A as a matrix over F3?
4
Chapter 10 Solutions
College Algebra (10th Edition)
Ch. 10.1 - Prob. 1AYPCh. 10.1 - Prob. 2AYPCh. 10.1 - True or false The intersection of two sets is...Ch. 10.1 - Prob. 4AYPCh. 10.1 - Prob. 5CVCh. 10.1 - If the number of elements in a set is a...Ch. 10.1 - Prob. 7CVCh. 10.1 - True or False If a task consists of a sequence of...Ch. 10.1 - Prob. 9SBCh. 10.1 - Prob. 10SB
Ch. 10.1 - If n( A )=15 , n( B )=20 , and n( AB )=10 , find...Ch. 10.1 - If n( A )=30 , n( B )=40 , and n( AB )=45 , find...Ch. 10.1 - If n( AB )=50 , n( AB )=10 , and n( B )=20 , find...Ch. 10.1 - If n( AB )=60 , n( AB )=40 , and n( A )=n( B ) ,...Ch. 10.1 - In Problems 15-22, use the information given in...Ch. 10.1 - In Problems 15-22, use the information given in...Ch. 10.1 - In Problems 15-22, use the information given in...Ch. 10.1 - In Problems 15-22, use the information given in...Ch. 10.1 - In Problems 15-22, use the information given in...Ch. 10.1 - In Problems 15-22, use the information given in...Ch. 10.1 - In Problems 15-22, use the information given in...Ch. 10.1 - In Problems 15-22, use the information given in...Ch. 10.1 - Shirts and Ties A man has 5 shirts and 3 ties. How...Ch. 10.1 - Blouses and Skirts A woman has 5 blouses and 8...Ch. 10.1 - Four-digit Numbers How many four-digit numbers can...Ch. 10.1 - Five-digit Numbers How many five-digit numbers can...Ch. 10.1 - Analyzing Survey Data In a consumer survey of 500...Ch. 10.1 - Analyzing Survey Data In a student survey, 200...Ch. 10.1 - Analyzing Survey Data In a survey of 100 investors...Ch. 10.1 - Classifying Blood Types Human blood is classified...Ch. 10.1 - Demographics The following data represent the...Ch. 10.1 - Demographics The following data represent the...Ch. 10.1 - Stock Portfolios As a financial planner, you are...Ch. 10.1 - Make up a problem different from any found in the...Ch. 10.1 - Investigate the notion of counting as it relates...Ch. 10.1 - Problems 36-39 are based on material learned...Ch. 10.1 - Problems 36-39 are based on material learned...Ch. 10.1 - Problems 36-39 are based on material learned...Ch. 10.1 - Problems 36-39 are based on material learned...Ch. 10.2 - 0!= ; 1!= . (p. 642)Ch. 10.2 - Prob. 2AYPCh. 10.2 - Prob. 3CVCh. 10.2 - A(n) ___________ is an arrangement of r objects...Ch. 10.2 - Prob. 5CVCh. 10.2 - Prob. 6CVCh. 10.2 - In Problems 7-14, find the value of each...Ch. 10.2 - Prob. 8SBCh. 10.2 - Prob. 9SBCh. 10.2 - Prob. 10SBCh. 10.2 - Prob. 11SBCh. 10.2 - Prob. 12SBCh. 10.2 - Prob. 13SBCh. 10.2 - Prob. 14SBCh. 10.2 - Prob. 15SBCh. 10.2 - Prob. 16SBCh. 10.2 - In Problems 15-22, use formula (2) to find the...Ch. 10.2 - Prob. 18SBCh. 10.2 - Prob. 19SBCh. 10.2 - Prob. 20SBCh. 10.2 - Prob. 21SBCh. 10.2 - Prob. 22SBCh. 10.2 - List all the ordered arrangements of 5 objects...Ch. 10.2 - List all the ordered arrangements of 5 objects...Ch. 10.2 - Prob. 25AECh. 10.2 - Prob. 26AECh. 10.2 - List all the combinations of 5 objects a,b,c,d ,...Ch. 10.2 - Prob. 28AECh. 10.2 - Prob. 29AECh. 10.2 - List all the combinations of 6 objects 1, 2, 3, 4,...Ch. 10.2 - Prob. 31AECh. 10.2 - Prob. 32AECh. 10.2 - Forming Numbers How many three-digit numbers can...Ch. 10.2 - Forming Numbers How many three-digit numbers can...Ch. 10.2 - Prob. 35AECh. 10.2 - Prob. 36AECh. 10.2 - Forming Codes How many different three-letter...Ch. 10.2 - Prob. 38AECh. 10.2 - Prob. 39AECh. 10.2 - Stocks on the NASDAQ Companies whose stocks are...Ch. 10.2 - Prob. 41AECh. 10.2 - Prob. 42AECh. 10.2 - Prob. 43AECh. 10.2 - Prob. 44AECh. 10.2 - Arranging Books Five different mathematics books...Ch. 10.2 - Forming License Plate Numbers How many different...Ch. 10.2 - Prob. 47AECh. 10.2 - Prob. 48AECh. 10.2 - Prob. 49AECh. 10.2 - Prob. 50AECh. 10.2 - Forming Words How many different 9-letter words...Ch. 10.2 - Forming Words How many different 11-letter words...Ch. 10.2 - Selecting Objects An urn contains 7 white balls...Ch. 10.2 - Prob. 54AECh. 10.2 - Prob. 55AECh. 10.2 - Prob. 56AECh. 10.2 - Prob. 57AECh. 10.2 - Prob. 58AECh. 10.2 - Baseball Teams A baseball team has 15 members....Ch. 10.2 - Prob. 60AECh. 10.2 - Prob. 61AECh. 10.2 - Prob. 62AECh. 10.2 - Combination Locks A combination lock displays 50...Ch. 10.2 - Prob. 64DWCh. 10.2 - Prob. 65DWCh. 10.2 - Explain the difference between a permutation and a...Ch. 10.2 - Prob. 67RYKCh. 10.2 - Problems 67-70 are based on material learned...Ch. 10.2 - Problems 67-70 are based on material learned...Ch. 10.2 - Problems 67-70 are based on material learned...Ch. 10.3 - When the same probability is assigned to each...Ch. 10.3 - Prob. 2CVCh. 10.3 - True or False The probability of an event can...Ch. 10.3 - Prob. 4CVCh. 10.3 - In a probability model, which of the following...Ch. 10.3 - In a probability model, which of the following...Ch. 10.3 - Prob. 7SBCh. 10.3 - Determine whether the following is a probability...Ch. 10.3 - Prob. 9SBCh. 10.3 - Prob. 10SBCh. 10.3 - Prob. 11SBCh. 10.3 - In Problems 11-16, construct a probability model...Ch. 10.3 - In Problems 11-16, construct a probability model...Ch. 10.3 - In Problems 11-16, construct a probability model...Ch. 10.3 - In Problems 11-16, construct a probability model...Ch. 10.3 - Prob. 16SBCh. 10.3 - In Problems 17-22, use the following spinners to...Ch. 10.3 - In Problems 17-22, use the following spinners to...Ch. 10.3 - In Problems 17-22, use the following spinners to...Ch. 10.3 - In Problems 17-22, use the following spinners to...Ch. 10.3 - In Problems 17-22, use the following spinners to...Ch. 10.3 - In Problems 17-22, use the following spinners to...Ch. 10.3 - In Problems 23-26, consider the experiment of...Ch. 10.3 - Prob. 24SBCh. 10.3 - Prob. 25SBCh. 10.3 - Prob. 26SBCh. 10.3 - Assigning Probabilities A coin is weighted so that...Ch. 10.3 - Prob. 28SBCh. 10.3 - Prob. 29SBCh. 10.3 - Prob. 30SBCh. 10.3 - Prob. 31SBCh. 10.3 - Prob. 32SBCh. 10.3 - Prob. 33SBCh. 10.3 - For Problems 31-34, the sample space is S={...Ch. 10.3 - Prob. 35SBCh. 10.3 - Prob. 36SBCh. 10.3 - In Problems 37-40, assume equally likely outcomes....Ch. 10.3 - Prob. 38SBCh. 10.3 - In Problems 37-40, assume equally likely outcomes....Ch. 10.3 - In Problems 37-40, assume equally likely outcomes....Ch. 10.3 - For Problems 41-44, two fair dice are rolled....Ch. 10.3 - For Problems 41-44, two fair dice are rolled....Ch. 10.3 - For Problems 41-44, two fair dice are rolled....Ch. 10.3 - For Problems 41-44, two fair dice are rolled....Ch. 10.3 - Prob. 45SBCh. 10.3 - Prob. 46SBCh. 10.3 - In Problems 45-48, find the probability of the...Ch. 10.3 - Prob. 48SBCh. 10.3 - Prob. 49SBCh. 10.3 - If P( B )=0.30 , P( AB )=0.65 , and P( AB )=0.15 ,...Ch. 10.3 - Automobile Theft According to the Insurance...Ch. 10.3 - Pet Ownership According to the American Pet...Ch. 10.3 - Dog Ownership According to the American Pet...Ch. 10.3 - Prob. 54SBCh. 10.3 - Prob. 55SBCh. 10.3 - For Problems 57-60, a golf ball is selected at...Ch. 10.3 - For Problems 57-60, a golf ball is selected at...Ch. 10.3 - Prob. 58SBCh. 10.3 - Prob. 59SBCh. 10.3 - Prob. 60SBCh. 10.3 - On The Price Is Right, there is a game in which a...Ch. 10.3 - Prob. 62SBCh. 10.3 - Problems 63-66 are based on a survey of annual...Ch. 10.3 - Prob. 64SBCh. 10.3 - Prob. 65SBCh. 10.3 - Prob. 66SBCh. 10.3 - Prob. 67SBCh. 10.3 - Checkout Lines Through observation, it has been...Ch. 10.3 - Prob. 69SBCh. 10.3 - The faculty of the mathematics department at...Ch. 10.3 - Birthday Problem What is the probability that at...Ch. 10.3 - Birthday Problem What is the probability that at...Ch. 10.3 - Winning a Lottery Powerball is a multistate...Ch. 10.3 - Prob. 74RYKCh. 10.3 - Prob. 75RYKCh. 10.3 - Solve: log 5 ( x+3 )=2Ch. 10.3 - Solve the given system using matrices { 3x+y+2z=1...Ch. 10.R - Prob. 1RECh. 10.R - Prob. 2RECh. 10.R - Prob. 3RECh. 10.R - Prob. 4RECh. 10.R - Prob. 5RECh. 10.R - Prob. 6RECh. 10.R - Prob. 7RECh. 10.R - Prob. 8RECh. 10.R - Prob. 9RECh. 10.R - In Problems 10 and 11, compute the value of the...Ch. 10.R - In Problems 10 and 11, compute the value of the...Ch. 10.R - Stocking a Store A clothing store sells pure wool...Ch. 10.R - Prob. 13RECh. 10.R - Prob. 14RECh. 10.R - Choosing a Team In how many ways can a squad of 4...Ch. 10.R - Prob. 16RECh. 10.R - Prob. 17RECh. 10.R - Prob. 18RECh. 10.R - Prob. 19RECh. 10.R - Prob. 20RECh. 10.R - Forming Committees A group of 9 people is going to...Ch. 10.R - Birthday Problem For this problem, assume that a...Ch. 10.R - Unemployment According to the U.S. Bureau of Labor...Ch. 10.R - Prob. 24RECh. 10.R - Prob. 25RECh. 10.R - Prob. 26RE
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