MYLAB MATH FOR MATHEMATICS FOR THE TRAD
11th Edition
ISBN: 2818440003295
Author: CARMAN
Publisher: PEARSON CP
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Chapter 2.4, Problem 16CE
To determine
The space left for the drawers.
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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
of 2
-
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
MYLAB MATH FOR MATHEMATICS FOR THE TRAD
Ch. 2.1 - What fraction of the box does the shaded region...Ch. 2.1 - Reduce 48 to lowest terms.Ch. 2.1 - Write as a mixed number. 174Ch. 2.1 - Write as a mixed number. 85Ch. 2.1 - Write as a mixed number. 118Ch. 2.1 - Write as a mixed number. 4016Ch. 2.1 - Write as a mixed number. 32Ch. 2.1 - Prob. 6AECh. 2.1 - Prob. 7AECh. 2.1 - Prob. 8AE
Ch. 2.1 - Write as a mixed number. 8032Ch. 2.1 - Write as a mixed number. 52Ch. 2.1 - Write as an improper fraction. 213Ch. 2.1 - Write as an improper fraction. 712Ch. 2.1 - Write as an improper fraction. 838Ch. 2.1 - Prob. 4BECh. 2.1 - Prob. 5BECh. 2.1 - Prob. 6BECh. 2.1 - Prob. 7BECh. 2.1 - Prob. 8BECh. 2.1 - Write as an improper fraction. 456Ch. 2.1 - Prob. 10BECh. 2.1 - Complete. 78=?16Ch. 2.1 - Complete. 34=?16Ch. 2.1 - Complete. 18=?64Ch. 2.1 - Prob. 4CECh. 2.1 - Complete. 114=?16Ch. 2.1 - Complete. 278=?32Ch. 2.1 - Prob. 7CECh. 2.1 - Complete. 1116=?32Ch. 2.1 - Prob. 9CECh. 2.1 - Prob. 10CECh. 2.1 - Prob. 11CECh. 2.1 - Prob. 12CECh. 2.1 - Write in lowest terms. 416Ch. 2.1 - Write in lowest terms. 46Ch. 2.1 - Write in lowest terms. 616Ch. 2.1 - Prob. 4DECh. 2.1 - Write in lowest terms. 410Ch. 2.1 - Prob. 6DECh. 2.1 - Prob. 7DECh. 2.1 - Prob. 8DECh. 2.1 - Prob. 9DECh. 2.1 - Prob. 10DECh. 2.1 - Prob. 11DECh. 2.1 - Write in lowest terms. 1035Ch. 2.1 - Prob. 13DECh. 2.1 - Prob. 14DECh. 2.1 - Write in lowest terms. 3824Ch. 2.1 - Prob. 1EECh. 2.1 - Prob. 2EECh. 2.1 - Prob. 3EECh. 2.1 - Prob. 4EECh. 2.1 - E. Which is larger? 78or56Ch. 2.1 - Prob. 6EECh. 2.1 - Prob. 7EECh. 2.1 - Prob. 8EECh. 2.1 - Prob. 9EECh. 2.1 - E. Which is larger? 312or274Ch. 2.1 - Prob. 11EECh. 2.1 - Prob. 12EECh. 2.1 - F. Practical Applications Carpentry An apprentice...Ch. 2.1 - F. Practical Applications Electrical Trades An...Ch. 2.1 - F. Practical Applications The numbers 227, 196,...Ch. 2.1 - F. Practical Applications Sheet Metal Trades Which...Ch. 2.1 - F. Practical Applications Plumbing Is it possible...Ch. 2.1 - F. Practical Applications Sheet Metal Trades...Ch. 2.1 - F. Practical Applications Printing A printer has...Ch. 2.1 - F. Practical Applications Machine Trades A...Ch. 2.1 - F. Practical Applications Landscaping Before it...Ch. 2.1 - F. Practical Applications Roofing A ridge beam...Ch. 2.1 - F. Practical Applications Construction A 34-in....Ch. 2.1 - Prob. 12FECh. 2.1 - F. Practical Applications General Trades The...Ch. 2.2 - What is half of 18?Ch. 2.2 - Write 2416 as a mixed number in lowest terms.Ch. 2.2 - Multiply and write the answer in lowest terms....Ch. 2.2 - Multiply and write the answer in lowest terms....Ch. 2.2 - Multiply and write the answer in lowest terms....Ch. 2.2 - Multiply and write the answer in lowest terms. 612Ch. 2.2 - Multiply and write the answer in lowest terms. 893Ch. 2.2 - Prob. 6AECh. 2.2 - Multiply and write the answer in lowest terms....Ch. 2.2 - Multiply and write the answer in lowest terms....Ch. 2.2 - Multiply and write the answer in lowest terms....Ch. 2.2 - Multiply and write the answer in lowest terms....Ch. 2.2 - Multiply and write the answer in lowest terms....Ch. 2.2 - Multiply and write the answer in lowest terms....Ch. 2.2 - Multiply and write the answer in lowest terms....Ch. 2.2 - Multiply and write the answer in lowest terms....Ch. 2.2 - Multiply and write the answer in lowest terms....Ch. 2.2 - Multiply and write the answer in lowest terms....Ch. 2.2 - Multiply and write the answer in lowest terms....Ch. 2.2 - Multiply and write the answer in lowest terms....Ch. 2.2 - Prob. 19AECh. 2.2 - Prob. 20AECh. 2.2 - Prob. 21AECh. 2.2 - Prob. 22AECh. 2.2 - Prob. 23AECh. 2.2 - Prob. 24AECh. 2.2 - Prob. 25AECh. 2.2 - Prob. 1BECh. 2.2 - Prob. 2BECh. 2.2 - Prob. 3BECh. 2.2 - Prob. 4BECh. 2.2 - Find. 12 of 112Ch. 2.2 - Prob. 6BECh. 2.2 - Prob. 7BECh. 2.2 - Prob. 8BECh. 2.2 - Find. 43 of 34Ch. 2.2 - Prob. 10BECh. 2.2 - Prob. 11BECh. 2.2 - B. Find. 35of4Ch. 2.2 - B. Find. 716of6Ch. 2.2 - Prob. 14BECh. 2.2 - Prob. 15BECh. 2.2 - Prob. 16BECh. 2.2 - Practical Applications Flooring and Carpeting Find...Ch. 2.2 - Prob. 2CECh. 2.2 - Practical Applications Roofing Shingles are laid...Ch. 2.2 - Prob. 4CECh. 2.2 - Prob. 5CECh. 2.2 - Prob. 6CECh. 2.2 - Prob. 7CECh. 2.2 - Practical Applications Machine Trades What is the...Ch. 2.2 - Practical Applications Manufacturing How many...Ch. 2.2 - Practical Applications Plumbing A plumber cut...Ch. 2.2 - Practical Applications Machine Trades How far will...Ch. 2.2 - Practical Applications Landscaping A landscaping...Ch. 2.2 - Practical Applications Drafting If 38 in. on a...Ch. 2.2 - Practical Applications Manufacturing What is the...Ch. 2.2 - Practical Applications Machine Trades How long...Ch. 2.2 - Prob. 16CECh. 2.2 - Prob. 17CECh. 2.2 - Prob. 18CECh. 2.2 - Practical Applications Photography A photograph...Ch. 2.2 - Prob. 20CECh. 2.2 - Prob. 21CECh. 2.2 - Practical Applications Water/Wastewater Treatment...Ch. 2.2 - Prob. 23CECh. 2.2 - Practical Applications Plumbing To find the degree...Ch. 2.2 - Prob. 25CECh. 2.2 - Prob. 26CECh. 2.2 - Prob. 27CECh. 2.2 - Prob. 28CECh. 2.2 - Prob. 29CECh. 2.2 - Prob. 30CECh. 2.2 - Prob. 31CECh. 2.2 - C. Practical Applications Carpentry A carpenter is...Ch. 2.2 - C. Practical Applications Retail Merchandising...Ch. 2.3 - Prob. 1LCCh. 2.3 - Prob. 2LCCh. 2.3 - Prob. 1AECh. 2.3 - Prob. 2AECh. 2.3 - Prob. 3AECh. 2.3 - Prob. 4AECh. 2.3 - Prob. 5AECh. 2.3 - Prob. 6AECh. 2.3 - Prob. 7AECh. 2.3 - Prob. 8AECh. 2.3 - Prob. 9AECh. 2.3 - Prob. 10AECh. 2.3 - Prob. 11AECh. 2.3 - Prob. 12AECh. 2.3 - Prob. 13AECh. 2.3 - Prob. 14AECh. 2.3 - Prob. 15AECh. 2.3 - Prob. 16AECh. 2.3 - Prob. 17AECh. 2.3 - Prob. 18AECh. 2.3 - Prob. 19AECh. 2.3 - Prob. 20AECh. 2.3 - Prob. 21AECh. 2.3 - Prob. 22AECh. 2.3 - Prob. 23AECh. 2.3 - Divide and write the answer in lowest terms....Ch. 2.3 - Drafting How many feet are represented by a 4-in....Ch. 2.3 - Drafting If 14in. on a drawing represents 1 ft 0...Ch. 2.3 - Flooring and Carpeting How many boards 458 in....Ch. 2.3 - Construction How many supporting columns 8812in....Ch. 2.3 - Construction How many pieces of 12in. plywood are...Ch. 2.3 - Masonry The front side of a standard brick...Ch. 2.3 - Prob. 7BECh. 2.3 - Prob. 8BECh. 2.3 - Prob. 9BECh. 2.3 - Prob. 10BECh. 2.3 - Prob. 11BECh. 2.3 - Prob. 12BECh. 2.3 - Prob. 13BECh. 2.3 - Prob. 14BECh. 2.3 - Prob. 15BECh. 2.3 - Prob. 16BECh. 2.3 - Prob. 17BECh. 2.3 - Prob. 18BECh. 2.3 - Prob. 19BECh. 2.3 - Prob. 20BECh. 2.3 - Landscaping An agricultural supply yard sells...Ch. 2.4 - Write 18 as a product of its prime factors.Ch. 2.4 - What is the smallest number that 8 and 12 both...Ch. 2.4 - Prob. 1AECh. 2.4 - Add or subtract as shown. 512+1112Ch. 2.4 - Prob. 3AECh. 2.4 - Prob. 4AECh. 2.4 - Add or subtract as shown. 3414Ch. 2.4 - Prob. 6AECh. 2.4 - Prob. 7AECh. 2.4 - Add or subtract as shown. 512212Ch. 2.4 - Add or subtract as shown. 516+316+716Ch. 2.4 - Add or subtract as shown. 18+38+78Ch. 2.4 - Add or subtract as shown. 17838Ch. 2.4 - Add or subtract as shown. 39161516Ch. 2.4 - Add or subtract as shown. 14+12Ch. 2.4 - Add or subtract as shown. 716+38Ch. 2.4 - Add or subtract as shown. 58+112Ch. 2.4 - Add or subtract as shown. 512+316Ch. 2.4 - Add or subtract as shown. 1238Ch. 2.4 - Add or subtract as shown. 516332Ch. 2.4 - Add or subtract as shown. 151612Ch. 2.4 - Add or subtract as shown. 716132Ch. 2.4 - Add or subtract as shown. 35+18Ch. 2.4 - Add or subtract as shown. 23+45Ch. 2.4 - Add or subtract as shown. 7825Ch. 2.4 - Add or subtract as shown. 4914Ch. 2.4 - Add or subtract as shown. 12+1418Ch. 2.4 - Prob. 26AECh. 2.4 - Prob. 27AECh. 2.4 - Prob. 28AECh. 2.4 - Prob. 29AECh. 2.4 - Prob. 30AECh. 2.4 - Add or subtract as shown. 213+115Ch. 2.4 - Add or subtract as shown. 178+14Ch. 2.4 - Prob. 33AECh. 2.4 - Prob. 34AECh. 2.4 - Add or subtract as shown. 3152112Ch. 2.4 - Prob. 36AECh. 2.4 - Add or subtract as shown. 8278Ch. 2.4 - Prob. 2BECh. 2.4 - Prob. 3BECh. 2.4 - Add or subtract as shown. 12+13+14+15Ch. 2.4 - Prob. 5BECh. 2.4 - Prob. 6BECh. 2.4 - Prob. 7BECh. 2.4 - Prob. 8BECh. 2.4 - B. Add or subtract as shown. 2316lessthan478Ch. 2.4 - Prob. 10BECh. 2.4 - B. Add or subtract as shown. 235 less than 612Ch. 2.4 - Prob. 12BECh. 2.4 - C. Practical Applications Construction The...Ch. 2.4 - C. Practical Applications Carpentry A countertop...Ch. 2.4 - Prob. 3CECh. 2.4 - Prob. 4CECh. 2.4 - Prob. 5CECh. 2.4 - Prob. 6CECh. 2.4 - Prob. 7CECh. 2.4 - Prob. 8CECh. 2.4 - Prob. 9CECh. 2.4 - Prob. 10CECh. 2.4 - Prob. 11CECh. 2.4 - Prob. 12CECh. 2.4 - Prob. 13CECh. 2.4 - Prob. 14CECh. 2.4 - Prob. 15CECh. 2.4 - Prob. 16CECh. 2.4 - Prob. 17CECh. 2.4 - Prob. 18CECh. 2.4 - Prob. 19CECh. 2.4 - Prob. 20CECh. 2.4 - Prob. 21CECh. 2.4 - Prob. 22CECh. 2.4 - Prob. 23CECh. 2.4 - Prob. 24CECh. 2.4 - Prob. 25CECh. 2 - Work with fractions. (a) Write as a mixed number...Ch. 2 - Multiply and divide fractions. (a) 78532 (b) 41223...Ch. 2 - Add and subtract fractions. (a) 716+316 (b)...Ch. 2 - Solve practical problems involving fractions....Ch. 2 - A. Write as an improper fraction. 118Ch. 2 - A. Write as an improper fraction. 415Ch. 2 - A. Write as an improper fraction. 123Ch. 2 - A. Write as an improper fraction. 2316Ch. 2 - A. Write as an improper fraction. 3332Ch. 2 - Prob. 6APSCh. 2 - A. Write as an improper fraction. 158Ch. 2 - Prob. 8APSCh. 2 - A. Write as a mixed number. 104Ch. 2 - Prob. 10APSCh. 2 - A. Write as a mixed number. 253Ch. 2 - Prob. 12APSCh. 2 - Prob. 13APSCh. 2 - Prob. 14APSCh. 2 - A. Write as a mixed number. 354Ch. 2 - A. Write as a mixed number. 73Ch. 2 - A. Write in lowest terms. 632Ch. 2 - A. Write in lowest terms. 832Ch. 2 - A. Write in lowest terms. 1232Ch. 2 - Prob. 20APSCh. 2 - A. Write in lowest terms. 520Ch. 2 - Prob. 22APSCh. 2 - A. Write in lowest terms. 11620Ch. 2 - Prob. 24APSCh. 2 - A. Complete these. 34=?12Ch. 2 - Prob. 26APSCh. 2 - A. Complete these. 234=?16Ch. 2 - Prob. 28APSCh. 2 - A. Complete these. 523=?12Ch. 2 - Prob. 30APSCh. 2 - A. Complete these. 114=?12Ch. 2 - A. Complete these. 235=?10Ch. 2 - A. Circle the larger number. 716or215Ch. 2 - Prob. 34APSCh. 2 - A. Circle the larger number. 1316or78Ch. 2 - Prob. 36APSCh. 2 - A. Circle the larger number. 1332or35Ch. 2 - A. Circle the larger number. 210or316Ch. 2 - A. Circle the larger number. 1716 or 74Ch. 2 - Prob. 40APSCh. 2 - B. Multiply 12316Ch. 2 - Prob. 2BPSCh. 2 - B. Multiply 71643Ch. 2 - Prob. 4BPSCh. 2 - B. Multiply 11256Ch. 2 - B. Multiply 311615Ch. 2 - B. Multiply 316512Ch. 2 - Prob. 8BPSCh. 2 - B. Multiply 3410Ch. 2 - Prob. 10BPSCh. 2 - B. Multiply or divide as shown. 18112Ch. 2 - Prob. 12BPSCh. 2 - B. Multiply or divide as shown. 223438Ch. 2 - Prob. 14BPSCh. 2 - Multiply or divide as shown. 1214Ch. 2 - Prob. 16BPSCh. 2 - Multiply or divide as shown. 418Ch. 2 - Multiply or divide as shown. 834Ch. 2 - Multiply or divide as shown. 234Ch. 2 - Prob. 20BPSCh. 2 - Multiply or divide as shown. 3125Ch. 2 - Prob. 22BPSCh. 2 - Multiply or divide as shown. 234118Ch. 2 - Prob. 24BPSCh. 2 - C. Add or subtract as shown. 38+78Ch. 2 - Prob. 2CPSCh. 2 - C. Add or subtract as shown. 332+18Ch. 2 - Prob. 4CPSCh. 2 - C. Add or subtract as shown. 35+56Ch. 2 - Prob. 6CPSCh. 2 - Prob. 7CPSCh. 2 - Prob. 8CPSCh. 2 - Prob. 9CPSCh. 2 - Prob. 10CPSCh. 2 - C. Add or subtract as shown. 78310Ch. 2 - Prob. 12CPSCh. 2 - C. Add or subtract as shown. 218+114Ch. 2 - Prob. 14CPSCh. 2 - C. Add or subtract as shown. 6112Ch. 2 - Prob. 16CPSCh. 2 - C. Add or subtract as shown. 323178Ch. 2 - Prob. 18CPSCh. 2 - C. Add or subtract as shown. 12+13+15Ch. 2 - Prob. 20CPSCh. 2 - C. Add or subtract as shown. 312213Ch. 2 - C. Add or subtract as shown. 2351415Ch. 2 - C. Add or subtract as shown. 2135Ch. 2 - Prob. 24CPSCh. 2 - D. Practical Applications Welding In a welding...Ch. 2 - D. Practical Applications Machine Trades How many...Ch. 2 - D. Practical Applications Welding A piece of metal...Ch. 2 - D. Practical Applications Automotive Trades A...Ch. 2 - D. Practical Applications Machine Trades A shaft...Ch. 2 - D Practical Applications Machine Trades A bar...Ch. 2 - D. Practical Applications Manufacturing A cubic...Ch. 2 - D. Practical Applications Manufacturing Find the...Ch. 2 - D. Practical Applications Machine Trades What...Ch. 2 - D. Practical Applications Machine Trades The Ace...Ch. 2 - D. Practical Applications Carpentry What is the...Ch. 2 - D. Practical Applications Construction For the...Ch. 2 - D. Practical Applications Carpentry Find the...Ch. 2 - D. Practical Applications Masonry Find the height...Ch. 2 - D. Practical Applications Masonry If the wall in...Ch. 2 - D. Practical Applications Electrical Trades An...Ch. 2 - D. Practical Applications Printing An invitation...Ch. 2 - D. Practical Applications Printing As a rule of...Ch. 2 - D. Practical Applications Welding A 46-in. bar...Ch. 2 - D. Practical Applications Construction If an...Ch. 2 - D. Practical Applications Machine Trades If a...Ch. 2 - Prob. 22DPSCh. 2 - D. Practical Applications Landscaping A...Ch. 2 - D. Practical Applications Machine Trades A machine...Ch. 2 - D. Practical Applications Automotive Trades On a...Ch. 2 - D. Practical Applications Automotive Trades A...Ch. 2 - D. Practical Applications Allied Health One bottle...Ch. 2 - D. Practical Applications Construction The...Ch. 2 - Prob. 29DPSCh. 2 - Prob. 30DPSCh. 2 - Flooring and Carpeting In the United States carpet...Ch. 2 - D. Practical Applications Retail Merchandising In...Ch. 2 - D. Practical Applications Retail Merchandising The...Ch. 2 - D. Practical Applications Carpentry A carpenter...
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