Pathways to Math Literacy with 18 Week ALEKS Access Card
1st Edition
ISBN: 9781259278723
Author: David Sobecki Professor, Brian A. Mercer
Publisher: McGraw-Hill Education
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Chapter 2.9, Problem 29G
To determine
To fill: The blank space in the table given below,
When
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of 2
- ZOOM +
The set of all 3 x 3 upper triangular matrices
6) Determine whether each of the following sets, together with the standard
operations, is a vector space. If it is, then simply write 'Vector space'. You do not
have to prove all ten vector space axioms. If it is not, then identify one of the ten
vector space axioms with its number in the attached sheet that fails and also show
that how it fails.
a) The set of all polynomials of degree four or less.
b) The set of all 2 x 2 singular matrices.
c) The set {(x, y) : x ≥ 0, y is a real number}.
d) C[0,1], the set of all continuous functions defined on the interval [0,1].
7) Given u = (-2,1,1) and v = (4,2,0) are two vectors in R³-space. Find u xv and
show that it is orthogonal to both u and v.
8) a) Find the equation of the least squares regression line for the data points
below.
(-2,0), (0,2), (2,2)
b) Graph the points and the line that you found from a) on the same Cartesian
coordinate plane.
1. A consumer group claims that the mean annual consumption of cheddar cheese by a person in
the United States is at most 10.3 pounds. A random sample of 100 people in the United States has
a mean annual cheddar cheese consumption of 9.9 pounds. Assume the population standard
deviation is 2.1 pounds. At a = 0.05, can you reject the claim? (Adapted from U.S. Department of
Agriculture)
State the hypotheses:
Calculate the test statistic:
Calculate the P-value:
Conclusion (reject or fail to reject Ho):
2. The CEO of a manufacturing facility claims that the mean workday of the company's assembly
line employees is less than 8.5 hours. A random sample of 25 of the company's assembly line
employees has a mean workday of 8.2 hours. Assume the population standard deviation is 0.5
hour and the population is normally distributed. At a = 0.01, test the CEO's claim.
State the hypotheses:
Calculate the test statistic:
Calculate the P-value:
Conclusion (reject or fail to reject Ho):
Statistics
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1
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ZOOM +
1) a) Find a matrix P such that PT AP orthogonally diagonalizes the following matrix
A.
= [{² 1]
A =
b) Verify that PT AP gives the correct diagonal form.
2
01
-2
3
2) Given the following matrices A =
-1
0
1] an
and B =
0
1
-3
2
find the following matrices:
a) (AB) b) (BA)T
3) Find the inverse of the following matrix A using Gauss-Jordan elimination or
adjoint of the matrix and check the correctness of your answer (Hint: AA¯¹ = I).
[1 1 1
A = 3 5 4
L3 6 5
4) Solve the following system of linear equations using any one of Cramer's Rule,
Gaussian Elimination, Gauss-Jordan Elimination or Inverse Matrix methods and
check the correctness of your answer.
4x-y-z=1
2x + 2y + 3z = 10
5x-2y-2z = -1
5) a) Describe the zero vector and the additive inverse of a vector in the vector
space, M3,3.
b) Determine if the following set S is a subspace of M3,3 with the standard
operations. Show all appropriate supporting work.
Chapter 2 Solutions
Pathways to Math Literacy with 18 Week ALEKS Access Card
Ch. 2.1 - Prob. 0LOCh. 2.1 - Prob. 1GCh. 2.1 - Prob. 2GCh. 2.1 - Prob. 3GCh. 2.1 - Prob. 4GCh. 2.1 - Prob. 5GCh. 2.1 - Prob. 6GCh. 2.1 - Prob. 7GCh. 2.1 - Prob. 8GCh. 2.1 - Prob. 9G
Ch. 2.1 - Prob. 10GCh. 2.1 - Prob. 11GCh. 2.1 - Prob. 12GCh. 2.1 - Prob. 13GCh. 2.1 - Prob. 14GCh. 2.1 - Prob. 15GCh. 2.1 - Prob. 1CCh. 2.1 - Prob. 2CCh. 2.1 - Prob. 3CCh. 2.1 - Prob. 4CCh. 2.1 - Prob. 5CCh. 2.1 - In many cases, you can use the results of existing...Ch. 2.1 - In many cases, you can use the results of existing...Ch. 2.1 - In many cases, you can use the results of existing...Ch. 2.1 - Prob. 9CCh. 2.1 - Prob. 1RCh. 2.1 - Prob. 2RCh. 2.1 - Prob. 1ACh. 2.1 - Prob. 2ACh. 2.1 - Prob. 3ACh. 2.1 - Prob. 4ACh. 2.1 - Prob. 5ACh. 2.2 - Prob. 0LOCh. 2.2 - Prob. 2GCh. 2.2 - The best gift I got for my birthday last year was...Ch. 2.2 - Prob. 4GCh. 2.2 - Prob. 5GCh. 2.2 - Prob. 6GCh. 2.2 - Prob. 1CCh. 2.2 - Prob. 2CCh. 2.2 - Prob. 3CCh. 2.2 - Prob. 4CCh. 2.2 - Prob. 5CCh. 2.2 - Prob. 6CCh. 2.2 - Prob. 7CCh. 2.2 - Prob. 8CCh. 2.2 - Prob. 9CCh. 2.2 - Prob. 10CCh. 2.2 - Prob. 11CCh. 2.2 - Forensic scientists often examine scaled-up crime...Ch. 2.2 - In the 1984 movie Ghostbusters, a 112.5-foot-tall...Ch. 2.2 - Prob. 3ACh. 2.2 - Prob. 4ACh. 2.2 - Prob. 5ACh. 2.2 - Prob. 6ACh. 2.2 - Prob. 7ACh. 2.2 - For Questions 69, use dimensional analysis with...Ch. 2.2 - For Questions 69, use dimensional analysis with...Ch. 2.3 - Prob. 0LOCh. 2.3 - Prob. 1CCh. 2.3 - Prob. 2CCh. 2.3 - Prob. 3CCh. 2.3 - Prob. 1GCh. 2.3 - Prob. 2GCh. 2.3 - Prob. 3GCh. 2.3 - Prob. 4GCh. 2.3 - Prob. 5GCh. 2.3 - Prob. 6GCh. 2.3 - Prob. 7GCh. 2.3 - Prob. 8GCh. 2.3 - Prob. 9GCh. 2.3 - Prob. 10GCh. 2.3 - Prob. 11GCh. 2.3 - Prob. 12GCh. 2.3 - Prob. 13GCh. 2.3 - Prob. 14GCh. 2.3 - Prob. 15GCh. 2.3 - Prob. 16GCh. 2.3 - Prob. 1ACh. 2.3 - Prob. 2ACh. 2.3 - Prob. 3ACh. 2.3 - Prob. 4ACh. 2.3 - Use your answer to Question 3 and dimensional...Ch. 2.3 - Prob. 6ACh. 2.3 - Prob. 7ACh. 2.3 - Glaciers are large masses of ice that flow like...Ch. 2.3 - Prob. 9ACh. 2.3 - Prob. 10ACh. 2.4 - After reading the opening paragraph, what do you...Ch. 2.4 - Prob. 1CCh. 2.4 - Prob. 2CCh. 2.4 - When asked to compare the sizes of two numbers,...Ch. 2.4 - Prob. 4CCh. 2.4 - Prob. 5CCh. 2.4 - Prob. 1GCh. 2.4 - Prob. 2GCh. 2.4 - Prob. 3GCh. 2.4 - Prob. 4GCh. 2.4 - Prob. 5GCh. 2.4 - Prob. 6GCh. 2.4 - Prob. 7GCh. 2.4 - Prob. 8GCh. 2.4 - Prob. 9GCh. 2.4 - Prob. 10GCh. 2.4 - Name...Ch. 2.4 - Name...Ch. 2.4 - Name...Ch. 2.4 - Prob. 4ACh. 2.4 - Prob. 5ACh. 2.4 - Prob. 6ACh. 2.5 - Prob. 0LOCh. 2.5 - What is a variable?Ch. 2.5 - Prob. 2CCh. 2.5 - Consider the following relationships, where one...Ch. 2.5 - If we wanted to know the cost of a 7-mile cab...Ch. 2.5 - Evaluate the cost formula for m=4, then attach...Ch. 2.5 - Prob. 4GCh. 2.5 - Prob. 5GCh. 2.5 - Prob. 6GCh. 2.5 - Prob. 7GCh. 2.5 - Prob. 8GCh. 2.5 - Prob. 9GCh. 2.5 - Prob. 10GCh. 2.5 - Prob. 11GCh. 2.5 - Next, were going to look at how the types of...Ch. 2.5 - Prob. 13GCh. 2.5 - Prob. 14GCh. 2.5 - Prob. 15GCh. 2.5 - Prob. 16GCh. 2.5 - Type a short answer to each question. What is a...Ch. 2.5 - Type a short answer to each question. When two...Ch. 2.5 - Type a short answer to each question. Describe the...Ch. 2.5 - Type a short answer to each question. How do the...Ch. 2.5 - Prob. 1ACh. 2.5 - Prob. 2ACh. 2.5 - Prob. 3ACh. 2.5 - Prob. 4ACh. 2.5 - Prob. 5ACh. 2.5 - Use the spreadsheet on page 122 to answer the...Ch. 2.5 - Prob. 7ACh. 2.5 - Prob. 8ACh. 2.6 - Prob. 0LOCh. 2.6 - Prob. 1GCh. 2.6 - Prob. 2GCh. 2.6 - Prob. 3GCh. 2.6 - Prob. 4GCh. 2.6 - Prob. 5GCh. 2.6 - Prob. 6GCh. 2.6 - Prob. 7GCh. 2.6 - Prob. 8GCh. 2.6 - Prob. 9GCh. 2.6 - Prob. 10GCh. 2.6 - Prob. 1CCh. 2.6 - Prob. 2CCh. 2.6 - Prob. 3CCh. 2.6 - Prob. 4CCh. 2.6 - This is where deductive reasoning comes into play....Ch. 2.6 - Pretend that youre one of the nine justices: how...Ch. 2.6 - Prob. 8CCh. 2.6 - Prob. 9CCh. 2.6 - Prob. 10CCh. 2.6 - Prob. 11CCh. 2.6 - Prob. 12CCh. 2.6 - Prob. 13CCh. 2.6 - Prob. 14CCh. 2.6 - Prob. 15CCh. 2.6 - Prob. 1ACh. 2.6 - Prob. 2ACh. 2.6 - Prob. 3ACh. 2.6 - Prob. 4ACh. 2.6 - Prob. 5ACh. 2.6 - Prob. 6ACh. 2.6 - Prob. 7ACh. 2.6 - Prob. 8ACh. 2.6 - Prob. 9ACh. 2.6 - Prob. 10ACh. 2.7 - After reading the opening paragraph, what do you...Ch. 2.7 - Prob. 1CCh. 2.7 - Prob. 2CCh. 2.7 - When an average-sized person walks at a fairly...Ch. 2.7 - Prob. 1GCh. 2.7 - Prob. 2GCh. 2.7 - Prob. 3GCh. 2.7 - Prob. 4GCh. 2.7 - Prob. 1ACh. 2.7 - Prob. 2ACh. 2.7 - Prob. 3ACh. 2.7 - Prob. 4ACh. 2.8 - Prob. 0LOCh. 2.8 - Prob. 1CCh. 2.8 - Prob. 2CCh. 2.8 - Prob. 1GCh. 2.8 - Prob. 2GCh. 2.8 - Prob. 3GCh. 2.8 - Prob. 4GCh. 2.8 - Prob. 5GCh. 2.8 - Prob. 6GCh. 2.8 - Prob. 7GCh. 2.8 - Prob. 8GCh. 2.8 - Prob. 9GCh. 2.8 - Prob. 10GCh. 2.8 - Prob. 11GCh. 2.8 - Prob. 12GCh. 2.8 - Prob. 1ACh. 2.8 - Prob. 2ACh. 2.8 - Prob. 3ACh. 2.8 - Prob. 4ACh. 2.8 - Prob. 5ACh. 2.8 - Prob. 6ACh. 2.8 - Prob. 7ACh. 2.8 - Prob. 8ACh. 2.8 - Prob. 9ACh. 2.8 - The two tables below display the charges for two...Ch. 2.9 - After reading the opening paragraph, what do you...Ch. 2.9 - Prob. 1GCh. 2.9 - Prob. 2GCh. 2.9 - Prob. 3GCh. 2.9 - Prob. 4GCh. 2.9 - Prob. 5GCh. 2.9 - Prob. 6GCh. 2.9 - We know that the equation 1 min =60 sec is true....Ch. 2.9 - Prob. 8GCh. 2.9 - Prob. 9GCh. 2.9 - Prob. 10GCh. 2.9 - Prob. 11GCh. 2.9 - Prob. 12GCh. 2.9 - Prob. 13GCh. 2.9 - Prob. 14GCh. 2.9 - Prob. 15GCh. 2.9 - Prob. 16GCh. 2.9 - Prob. 17GCh. 2.9 - Prob. 18GCh. 2.9 - Prob. 19GCh. 2.9 - In Group Question 4 of Lesson 1-2, we found that...Ch. 2.9 - Prob. 21GCh. 2.9 - Prob. 22GCh. 2.9 - In the Group portion of Lesson 2-8, you were asked...Ch. 2.9 - Prob. 24GCh. 2.9 - Prob. 25GCh. 2.9 - Prob. 26GCh. 2.9 - Prob. 27GCh. 2.9 - Prob. 28GCh. 2.9 - Prob. 29GCh. 2.9 - Prob. 30GCh. 2.9 - Prob. 31GCh. 2.9 - Prob. 32GCh. 2.9 - Prob. 33GCh. 2.9 - Prob. 34GCh. 2.9 - Prob. 35GCh. 2.9 - Prob. 37GCh. 2.9 - Prob. 38GCh. 2.9 - Prob. 39GCh. 2.9 - Prob. 40GCh. 2.9 - Prob. 1ACh. 2.9 - Prob. 2ACh. 2.9 - Prob. 3ACh. 2.9 - Prob. 4ACh. 2.9 - Prob. 5ACh. 2.9 - Prob. 6ACh. 2.9 - From Lesson 2-7 Group Question 4: 1,000+50x=4,500...Ch. 2.9 - Prob. 8ACh. 2.9 - Prob. 9ACh. 2.9 - Prob. 10ACh. 2.9 - Prob. 11ACh. 2.9 - Prob. 12ACh. 2.9 - Prob. 13A
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