Finite Mathematics and Calculus with Applications (10th Edition)
Finite Mathematics and Calculus with Applications (10th Edition)
10th Edition
ISBN: 9780321979407
Author: Margaret L. Lial, Raymond N. Greenwell, Nathan P. Ritchey
Publisher: PEARSON
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Matrices
‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements ar…
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Chapter 2, Problem 74RE

Nebraska The 1970 economy of the state of Nebraska has been condensed to six sectors: livestock, crops, food products, mining and manufacturing, households, and other. The input–output matrix is given below. Source: University of Nebraska-Lincoln.

[ 0.178 0.018 0.411 0 0.005 0 0.143 0.018 0.088 0 0.001 0 0.089 0 0.035 0 0.060 0.003 0.001 0.010 0.012 0.063 0.007 0.014 0.141 0.252 0.088 0.089 0.402 0.124 0.188 0.156 0.103 0.255 0.008 0.474 ]

  1. (a) Find the matrix (I − A)−1 and interpret the value in row 2, column 1 of this matrix.
  2. (b) Suppose the demand (in millions of dollars) is

D = [ 1980 650 1750 1000 2500 3750 ] .

  Find the dollar amount of each commodity that should be produced.

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Chapter 2 Solutions

Finite Mathematics and Calculus with Applications (10th Edition)

Ch. 2.1 - Solve the system 2x+3y=123x4y=1.Ch. 2.1 - Prob. 2YTCh. 2.1 - Prob. 3YTCh. 2.1 - Prob. 1ECh. 2.1 - Prob. 2ECh. 2.1 - Prob. 3ECh. 2.1 - Prob. 4ECh. 2.1 - Prob. 5ECh. 2.1 - Prob. 6ECh. 2.1 - Prob. 7E
Ch. 2.1 - Prob. 8ECh. 2.1 - Use the echelon method to solve each system of two...Ch. 2.1 - Prob. 10ECh. 2.1 - Use the echelon method to solve each system of two...Ch. 2.1 - Prob. 12ECh. 2.1 - Prob. 13ECh. 2.1 - Prob. 14ECh. 2.1 - Prob. 15ECh. 2.1 - Prob. 16ECh. 2.1 - Prob. 17ECh. 2.1 - Prob. 18ECh. 2.1 - Prob. 19ECh. 2.1 - Prob. 20ECh. 2.1 - Prob. 21ECh. 2.1 - Prob. 22ECh. 2.1 - Prob. 23ECh. 2.1 - Prob. 24ECh. 2.1 - Prob. 25ECh. 2.1 - Solve each system of equations. Let z be the...Ch. 2.1 - Prob. 27ECh. 2.1 - Prob. 28ECh. 2.1 - For each of the following systems of equations in...Ch. 2.1 - For each of the following systems of equations in...Ch. 2.1 - Prob. 31ECh. 2.1 - Prob. 32ECh. 2.1 - Prob. 33ECh. 2.1 - Prob. 34ECh. 2.1 - Prob. 35ECh. 2.1 - Prob. 36ECh. 2.1 - Prob. 37ECh. 2.1 - Prob. 38ECh. 2.1 - Prob. 39ECh. 2.1 - Prob. 40ECh. 2.1 - Prob. 41ECh. 2.1 - Prob. 42ECh. 2.1 - Prob. 43ECh. 2.1 - Prob. 44ECh. 2.1 - Life Sciences 45. Birds The date of the first...Ch. 2.1 - Prob. 46ECh. 2.1 - Prob. 47ECh. 2.1 - Flight Time A flight leaves New York at 8 P.M. and...Ch. 2.1 - Prob. 49ECh. 2.2 - Prob. 1YTCh. 2.2 - Use the Gauss-Jordan method to solve the system...Ch. 2.2 - Prob. 3YTCh. 2.2 - Prob. 1WECh. 2.2 - Prob. 2WECh. 2.2 - Prob. 1ECh. 2.2 - Prob. 2ECh. 2.2 - Prob. 3ECh. 2.2 - Prob. 4ECh. 2.2 - Prob. 5ECh. 2.2 - Prob. 6ECh. 2.2 - Prob. 7ECh. 2.2 - Prob. 8ECh. 2.2 - Prob. 9ECh. 2.2 - Prob. 10ECh. 2.2 - Prob. 11ECh. 2.2 - Prob. 12ECh. 2.2 - Prob. 13ECh. 2.2 - Prob. 14ECh. 2.2 - Prob. 15ECh. 2.2 - Prob. 16ECh. 2.2 - Prob. 17ECh. 2.2 - Prob. 18ECh. 2.2 - Prob. 19ECh. 2.2 - Prob. 20ECh. 2.2 - Prob. 21ECh. 2.2 - Use the Gauss-Jordan method to solve each system...Ch. 2.2 - Prob. 23ECh. 2.2 - Prob. 24ECh. 2.2 - Prob. 25ECh. 2.2 - Prob. 26ECh. 2.2 - Use the Gauss-Jordan method to solve each system...Ch. 2.2 - Prob. 28ECh. 2.2 - Prob. 29ECh. 2.2 - Prob. 30ECh. 2.2 - Prob. 31ECh. 2.2 - Prob. 32ECh. 2.2 - Prob. 33ECh. 2.2 - Prob. 34ECh. 2.2 - Prob. 35ECh. 2.2 - Prob. 36ECh. 2.2 - Prob. 37ECh. 2.2 - Prob. 38ECh. 2.2 - Prob. 39ECh. 2.2 - Use the Gauss-Jordan method to solve each system...Ch. 2.2 - Prob. 41ECh. 2.2 - Prob. 42ECh. 2.2 - On National Public Radio, the Weekend Edition...Ch. 2.2 - Prob. 44ECh. 2.2 - Investments Katherine Chong invests 10,000...Ch. 2.2 - Prob. 46ECh. 2.2 - Prob. 47ECh. 2.2 - Prob. 48ECh. 2.2 - Loans To get the necessary funds for a planned...Ch. 2.2 - Manufacturing Nadir, Inc. produces three models of...Ch. 2.2 - Deliveries An electronics company produces three...Ch. 2.2 - Tents L.L. Bean makes three sizes of Ultra Dome...Ch. 2.2 - Prob. 53ECh. 2.2 - APPLY IT Transportation An auto manufacturer sends...Ch. 2.2 - Prob. 55ECh. 2.2 - Prob. 56ECh. 2.2 - Prob. 57ECh. 2.2 - Prob. 58ECh. 2.2 - Prob. 59ECh. 2.2 - Prob. 60ECh. 2.2 - Prob. 61ECh. 2.2 - Health The U.S. National Center for Health...Ch. 2.2 - Prob. 63ECh. 2.2 - Prob. 64ECh. 2.2 - Prob. 65ECh. 2.2 - Prob. 66ECh. 2.2 - Baseball Ichiro Suzuki holds the American League...Ch. 2.2 - Prob. 69ECh. 2.2 - Snack Food According to the nutrition labels on...Ch. 2.2 - Lights Out The Tiger Electronics game, Lights Out,...Ch. 2.2 - Prob. 72ECh. 2.2 - Prob. 73ECh. 2.3 - Prob. 1YTCh. 2.3 - Prob. 2YTCh. 2.3 - Prob. 1ECh. 2.3 - Prob. 2ECh. 2.3 - Decide whether each statement is true or false. If...Ch. 2.3 - Prob. 4ECh. 2.3 - Prob. 5ECh. 2.3 - Prob. 6ECh. 2.3 - Prob. 7ECh. 2.3 - Prob. 8ECh. 2.3 - Prob. 9ECh. 2.3 - Prob. 10ECh. 2.3 - Prob. 11ECh. 2.3 - Prob. 12ECh. 2.3 - Prob. 13ECh. 2.3 - Prob. 14ECh. 2.3 - Prob. 15ECh. 2.3 - Prob. 16ECh. 2.3 - Prob. 17ECh. 2.3 - Prob. 18ECh. 2.3 - Prob. 19ECh. 2.3 - Prob. 20ECh. 2.3 - Prob. 21ECh. 2.3 - Prob. 22ECh. 2.3 - Prob. 23ECh. 2.3 - Prob. 24ECh. 2.3 - Prob. 25ECh. 2.3 - Prob. 26ECh. 2.3 - Prob. 27ECh. 2.3 - Prob. 28ECh. 2.3 - Prob. 29ECh. 2.3 - Prob. 30ECh. 2.3 - Prob. 31ECh. 2.3 - Prob. 32ECh. 2.3 - Prob. 33ECh. 2.3 - Prob. 34ECh. 2.3 - Prob. 35ECh. 2.3 - Prob. 36ECh. 2.3 - Prob. 37ECh. 2.3 - Prob. 38ECh. 2.3 - Prob. 39ECh. 2.3 - Prob. 40ECh. 2.3 - Prob. 41ECh. 2.3 - Prob. 42ECh. 2.3 - Prob. 43ECh. 2.3 - Prob. 44ECh. 2.3 - Prob. 45ECh. 2.3 - Prob. 46ECh. 2.3 - Life Expectancy The following table gives the life...Ch. 2.3 - Prob. 48ECh. 2.3 - Educational Attainment The following table gives...Ch. 2.3 - Prob. 50ECh. 2.4 - Prob. 1YTCh. 2.4 - Prob. 2YTCh. 2.4 - Prob. 1ECh. 2.4 - Prob. 2ECh. 2.4 - Prob. 3ECh. 2.4 - Prob. 4ECh. 2.4 - Prob. 5ECh. 2.4 - Prob. 6ECh. 2.4 - Prob. 7ECh. 2.4 - Prob. 8ECh. 2.4 - Prob. 9ECh. 2.4 - Prob. 10ECh. 2.4 - Prob. 11ECh. 2.4 - Prob. 12ECh. 2.4 - Prob. 13ECh. 2.4 - The product matrix AB has the same number of...Ch. 2.4 - Prob. 15ECh. 2.4 - Prob. 16ECh. 2.4 - Prob. 17ECh. 2.4 - Prob. 18ECh. 2.4 - Prob. 19ECh. 2.4 - Prob. 20ECh. 2.4 - Prob. 21ECh. 2.4 - Prob. 22ECh. 2.4 - Prob. 23ECh. 2.4 - Prob. 24ECh. 2.4 - Prob. 25ECh. 2.4 - Prob. 26ECh. 2.4 - Prob. 27ECh. 2.4 - Prob. 28ECh. 2.4 - Prob. 29ECh. 2.4 - Prob. 30ECh. 2.4 - Prob. 31ECh. 2.4 - Prob. 32ECh. 2.4 - Prob. 33ECh. 2.4 - Prob. 34ECh. 2.4 - Prob. 35ECh. 2.4 - Prob. 36ECh. 2.4 - Prob. 37ECh. 2.4 - Prob. 38ECh. 2.4 - Prob. 39ECh. 2.4 - Prob. 40ECh. 2.4 - Prob. 41ECh. 2.4 - Prob. 42ECh. 2.4 - Prob. 43ECh. 2.4 - Prob. 44ECh. 2.4 - Prob. 45ECh. 2.4 - Prob. 46ECh. 2.4 - Prob. 47ECh. 2.4 - Cost Analysis The Mundo Candy Company makes three...Ch. 2.4 - Shoe Sales Sals Shoes and Freds Footwear both have...Ch. 2.4 - Prob. 50ECh. 2.4 - Prob. 51ECh. 2.4 - Prob. 52ECh. 2.4 - Prob. 53ECh. 2.4 - Prob. 54ECh. 2.4 - Prob. 55ECh. 2.4 - Prob. 56ECh. 2.4 - Prob. 57ECh. 2.5 - Prob. 1YTCh. 2.5 - Prob. 2YTCh. 2.5 - Prob. 3YTCh. 2.5 - Prob. 1WECh. 2.5 - Prob. 2WECh. 2.5 - Prob. 3WECh. 2.5 - Prob. 4WECh. 2.5 - Prob. 1ECh. 2.5 - Prob. 2ECh. 2.5 - Prob. 3ECh. 2.5 - Prob. 4ECh. 2.5 - Prob. 5ECh. 2.5 - Prob. 6ECh. 2.5 - Prob. 7ECh. 2.5 - Prob. 8ECh. 2.5 - Prob. 9ECh. 2.5 - Prob. 10ECh. 2.5 - Prob. 11ECh. 2.5 - Prob. 12ECh. 2.5 - Prob. 13ECh. 2.5 - Prob. 14ECh. 2.5 - Prob. 15ECh. 2.5 - Prob. 16ECh. 2.5 - Prob. 17ECh. 2.5 - Prob. 18ECh. 2.5 - Prob. 19ECh. 2.5 - Prob. 20ECh. 2.5 - Prob. 21ECh. 2.5 - Prob. 22ECh. 2.5 - Prob. 23ECh. 2.5 - Prob. 24ECh. 2.5 - Prob. 25ECh. 2.5 - Prob. 26ECh. 2.5 - Prob. 27ECh. 2.5 - Prob. 28ECh. 2.5 - Prob. 29ECh. 2.5 - Prob. 30ECh. 2.5 - Solve each system of equations by using the...Ch. 2.5 - Prob. 32ECh. 2.5 - Prob. 33ECh. 2.5 - Prob. 34ECh. 2.5 - Prob. 35ECh. 2.5 - Prob. 36ECh. 2.5 - Prob. 37ECh. 2.5 - Prob. 38ECh. 2.5 - Prob. 39ECh. 2.5 - Prob. 40ECh. 2.5 - Prob. 41ECh. 2.5 - Prob. 42ECh. 2.5 - Prob. 43ECh. 2.5 - Prob. 44ECh. 2.5 - Prob. 45ECh. 2.5 - Prob. 46ECh. 2.5 - Prob. 47ECh. 2.5 - Prob. 48ECh. 2.5 - Prob. 49ECh. 2.5 - Prob. 50ECh. 2.5 - Prob. 51ECh. 2.5 - Prob. 52ECh. 2.5 - Prob. 53ECh. 2.5 - Prob. 54ECh. 2.5 - Prob. 55ECh. 2.5 - Prob. 56ECh. 2.5 - Prob. 57ECh. 2.5 - Prob. 58ECh. 2.5 - Solve each exercise by using the inverse of the...Ch. 2.5 - Prob. 60ECh. 2.5 - Solve each exercise by using the inverse of the...Ch. 2.5 - Prob. 62ECh. 2.5 - Prob. 63ECh. 2.5 - Encryption Use the matrices presented in Example 7...Ch. 2.5 - Prob. 65ECh. 2.5 - Prob. 66ECh. 2.6 - Prob. 1YTCh. 2.6 - Prob. 2YTCh. 2.6 - Prob. 1WECh. 2.6 - Prob. 2WECh. 2.6 - Prob. 1ECh. 2.6 - Prob. 2ECh. 2.6 - Prob. 3ECh. 2.6 - Prob. 4ECh. 2.6 - Prob. 5ECh. 2.6 - Prob. 6ECh. 2.6 - Prob. 7ECh. 2.6 - Find the ratios of products A, B, and C using a...Ch. 2.6 - Prob. 9ECh. 2.6 - Prob. 10ECh. 2.6 - Business and Economics Input-Output Open Model In...Ch. 2.6 - Prob. 12ECh. 2.6 - Prob. 13ECh. 2.6 - Prob. 14ECh. 2.6 - Prob. 15ECh. 2.6 - Prob. 16ECh. 2.6 - Prob. 17ECh. 2.6 - Prob. 18ECh. 2.6 - Prob. 19ECh. 2.6 - Prob. 20ECh. 2.6 - Prob. 21ECh. 2.6 - Prob. 22ECh. 2.6 - Prob. 23ECh. 2.6 - Prob. 24ECh. 2.6 - Prob. 25ECh. 2.6 - Prob. 26ECh. 2.6 - Prob. 27ECh. 2.6 - Prob. 28ECh. 2.6 - Prob. 29ECh. 2 - Determine whether each of the following statements...Ch. 2 - Prob. 2RECh. 2 - Determine whether each of the following statements...Ch. 2 - Prob. 4RECh. 2 - Prob. 6RECh. 2 - Determine whether each of the following statements...Ch. 2 - Prob. 8RECh. 2 - Determine whether each of the following statements...Ch. 2 - Prob. 10RECh. 2 - Determine whether each of the following statements...Ch. 2 - Prob. 12RECh. 2 - Determine whether each of the following statements...Ch. 2 - Prob. 14RECh. 2 - Determine whether each of the following statements...Ch. 2 - Prob. 16RECh. 2 - What is true about the number of solutions to a...Ch. 2 - Prob. 18RECh. 2 - Solve each system by the echelon method. 19....Ch. 2 - Prob. 20RECh. 2 - Solve each system by the echelon method. 21....Ch. 2 - Prob. 22RECh. 2 - Use the Gauss-Jordan method to solve each system...Ch. 2 - Prob. 24RECh. 2 - Use the Gauss-Jordan method to solve each system...Ch. 2 - Prob. 26RECh. 2 - Use the Gauss-Jordan method to solve each system...Ch. 2 - Prob. 28RECh. 2 - Find the size of each matrix, find the values of...Ch. 2 - Prob. 30RECh. 2 - Find the size of each matrix, find the values of...Ch. 2 - Prob. 32RECh. 2 - Given the matrices...Ch. 2 - Prob. 34RECh. 2 - Given the matrices...Ch. 2 - Prob. 36RECh. 2 - Given the matrices...Ch. 2 - Prob. 38RECh. 2 - Given the matrices...Ch. 2 - Prob. 40RECh. 2 - Given the matrices...Ch. 2 - Prob. 42RECh. 2 - Given the matrices...Ch. 2 - Prob. 44RECh. 2 - Given the matrices...Ch. 2 - Prob. 46RECh. 2 - Find the inverse, if it exists, for each matrix....Ch. 2 - Prob. 48RECh. 2 - Find the inverse, if it exists, for each matrix....Ch. 2 - Prob. 50RECh. 2 - Find the inverse, if it exists, for each matrix....Ch. 2 - Prob. 52RECh. 2 - Find the inverse, if it exists, for each matrix....Ch. 2 - Prob. 54RECh. 2 - Solve the matrix equation AX = B for X using the...Ch. 2 - Prob. 56RECh. 2 - Solve the matrix equation AX = B for X using the...Ch. 2 - Prob. 58RECh. 2 - Solve each system of equations by inverses. 59....Ch. 2 - Prob. 60RECh. 2 - Prob. 61RECh. 2 - Prob. 62RECh. 2 - Prob. 63RECh. 2 - Prob. 64RECh. 2 - Prob. 65RECh. 2 - Prob. 66RECh. 2 - Production Requirements The Waputi Indians make...Ch. 2 - Prob. 68RECh. 2 - Prob. 69RECh. 2 - Prob. 70RECh. 2 - Prob. 71RECh. 2 - Prob. 72RECh. 2 - Input-Output An economy depends on two...Ch. 2 - Nebraska The 1970 economy of the state of Nebraska...Ch. 2 - Prob. 75RECh. 2 - Prob. 76RECh. 2 - CAT Scans (Refer to Exercise 76.) Four X-ray beams...Ch. 2 - Prob. 78RECh. 2 - Prob. 79RECh. 2 - Prob. 80RECh. 2 - Prob. 81RECh. 2 - Prob. 82RECh. 2 - Prob. 83RECh. 2 - Baseball In the 2009 Major League Baseball season,...Ch. 2 - Prob. 85RE
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