Mathematics for the Trades: A Guided Approach (10th Edition) - Standalone book
10th Edition
ISBN: 9780133347777
Author: Robert A. Carman Emeritus, Hal M. Saunders
Publisher: PEARSON
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Chapter 12.1, Problem 15BE
To determine
To plot: The circle graph for the data of ‘California’s In-State Sources of Electricity’.
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Let
2
A =
4
3
-4
0
1
(a) Show that v =
eigenvalue.
()
is an eigenvector of A and find the corresponding
(b) Find the characteristic polynomial of A and factorise it. Hint: the answer to (a)
may be useful.
(c) Determine all eigenvalues of A and find bases for the corresponding eigenspaces.
(d) Find an invertible matrix P and a diagonal matrix D such that P-¹AP = D.
(c) Let
6
0 0
A =
-10 4 8
5 1 2
(i) Find the characteristic polynomial of A and factorise it.
(ii) Determine all eigenvalues of A and find bases for the corresponding
eigenspaces.
(iii) Is A diagonalisable? Give reasons for your answer.
Chapter 12 Solutions
Mathematics for the Trades: A Guided Approach (10th Edition) - Standalone book
Ch. 12.1 - A. Answer the questions following each...Ch. 12.1 - Trades Management The following graph shows the...Ch. 12.1 - Prob. 3AECh. 12.1 - Prob. 4AECh. 12.1 - Prob. 5AECh. 12.1 - Automotive Trades The following line graph shows...Ch. 12.1 - Prob. 7AECh. 12.1 - General Interest Study the circle graph at the top...Ch. 12.1 - Prob. 9AECh. 12.1 - Allied Health An assistant at a pharmaceutical...
Ch. 12.1 - Fire Protection Plot the following data as a bar...Ch. 12.1 - Transportation The following table lists the total...Ch. 12.1 - Metalworking Draw a bar graph from the following...Ch. 12.1 - Trades Management Plot the following data as a bar...Ch. 12.1 - Prob. 5BECh. 12.1 - General Interest The following table shows the...Ch. 12.1 - Prob. 7BECh. 12.1 - Trades Management The following table shows the...Ch. 12.1 - Prob. 9BECh. 12.1 - General Interest The following data show the world...Ch. 12.1 - Fire Protection The following data show the number...Ch. 12.1 - Prob. 12BECh. 12.1 - Hydrology The following table shows the daily...Ch. 12.1 - Business and Finance Plot a double broken-line...Ch. 12.1 - Prob. 15BECh. 12.1 - Prob. 16BECh. 12.1 - Aviation An aircraft mechanic spends 12.5% of a...Ch. 12.1 - General Interest Recent surveys have shown that...Ch. 12.2 - Find the mean, median, and mode for each set of...Ch. 12.2 - A. Find the mean, median, and mode for each set of...Ch. 12.2 - A. Find the mean, median, and mode for each set of...Ch. 12.2 - A. Find the mean, median, and mode for each set of...Ch. 12.2 - A. Find the mean, median, and mode for each set of...Ch. 12.2 - A. Find the mean, median, and mode for each set of...Ch. 12.2 - A. Find the mean, median, and mode for each set of...Ch. 12.2 - A. Find the mean, median, and mode for each set of...Ch. 12.2 - Construct an extended frequency distribution for...Ch. 12.2 - Construct an extended frequency distribution for...Ch. 12.2 - Aviation BF Goodrich produces brake pads for...Ch. 12.2 - Prob. 2CECh. 12.2 - Prob. 3CECh. 12.2 - Prob. 4CECh. 12.2 - Automotive Trades A mechanic has logged the...Ch. 12.2 - Forestry A forest ranger wishes to determine the...Ch. 12.2 - Hydrology The following table shows the monthly...Ch. 12.2 - Prob. 8CECh. 12.2 - Automotive Trades The following table shows both...Ch. 12.2 - Hydrology The following table shows the daily...Ch. 12.2 - Allied Health The Apgar score is widely used to...Ch. 12.2 - Allied Health A pharmacist keeps careful track of...Ch. 12.2 - Prob. 13CECh. 12.2 - Prob. 14CECh. 12 - Read bar graphs, line graphs, and circle graphs....Ch. 12 - Prob. 2PCh. 12 - Prob. 3PCh. 12 - Prob. 4PCh. 12 - Graph I Electrical Trades In general, as amps...Ch. 12 - Graph I Electrical Trades What is the minimum size...Ch. 12 - Graph I Electrical Trades What is the minimum wire...Ch. 12 - Prob. 4APSCh. 12 - Prob. 5APSCh. 12 - Prob. 6APSCh. 12 - Prob. 7APSCh. 12 - Prob. 8APSCh. 12 - Prob. 9APSCh. 12 - Prob. 10APSCh. 12 - Prob. 11APSCh. 12 - Prob. 12APSCh. 12 - Prob. 13APSCh. 12 - Prob. 14APSCh. 12 - Prob. 15APSCh. 12 - Retail Merchandising A small computer store is...Ch. 12 - Retail Merchandising A small computer store is...Ch. 12 - Retail Merchandising A small computer store is...Ch. 12 - Retail Merchandising A small computer store is...Ch. 12 - In September, what was the ratio of computer...Ch. 12 - Retail Merchandising A small computer store is...Ch. 12 - Retail Merchandising A small computer store is...Ch. 12 - Retail Merchandising A small computer store is...Ch. 12 - Prob. 24APSCh. 12 - Prob. 25APSCh. 12 - Prob. 26APSCh. 12 - Prob. 27APSCh. 12 - Prob. 28APSCh. 12 - Prob. 29APSCh. 12 - Prob. 30APSCh. 12 - Graph V Business and Finance What was the actual...Ch. 12 - Graph V Business and Finance What was the...Ch. 12 - Graph V Business and Finance During which month...Ch. 12 - Graph V Business and Finance During which month...Ch. 12 - Graph V Business and Finance During which month...Ch. 12 - Graph V Business and Finance During which month...Ch. 12 - Graph V Business and Finance During which months...Ch. 12 - Graph V Business and Finance During which month...Ch. 12 - Graph VI Metalworking What percent of marine...Ch. 12 - Graph VI Metalworking What percent of this alloy...Ch. 12 - Graph VI Metalworking Without measuring, calculate...Ch. 12 - Graph VI Metalworking How many ounces of zinc are...Ch. 12 - Graph VI Metalworking How many grams of bismuth...Ch. 12 - Prob. 1BPSCh. 12 - Prob. 2BPSCh. 12 - Prob. 3BPSCh. 12 - Prob. 4BPSCh. 12 - Metalworking Construct a circle graph based on the...Ch. 12 - Fire Protection Construct a circle graph based on...Ch. 12 - Prob. 7BPSCh. 12 - C. Find the mean, median, and mode for each set of...Ch. 12 - C. Find the mean, median, and mode for each set of...Ch. 12 - C. Find the mean, median, and mode for each set of...Ch. 12 - C. Find the mean, median, and mode for each set of...Ch. 12 - Prob. 5CPSCh. 12 - C. Find the mean, median, and mode for each set of...Ch. 12 - Prob. 1DPSCh. 12 - Prob. 2DPSCh. 12 - Prob. 1EPSCh. 12 - Prob. 2EPSCh. 12 - Prob. 3EPSCh. 12 - Prob. 4EPSCh. 12 - Prob. 5EPSCh. 12 - Prob. 6EPSCh. 12 - Prob. 7EPSCh. 12 - Prob. 8EPS
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