Explanation Definition used: 1. Scalar Product The scalar product of a number k and a matrix A is the matrix denoted by k A , obtained by multiplying each entry of A by the number k , where the number k is called a scalar. 2. Addition and Subtraction of Matrices The sum of two m × n matrices A = [ a i j ] and B = [ b i j ] is A + B = [ a i j + b i j ] . The difference of two m × n matrices A = [ a i j ] and B = [ b i j ] is A − B = [ a i j − b i j ] . Calculation: The matrix 3 F + 2 A , where F = [ 3 3 − 1 − 1 ] and A = [ 1 2 4 3 ] is as follows. Use the scalar product definition and obtain the matrix 3 F by multiplying each entry of F by the number 3 and the matrix 2 A by multiplying each entry of A by the number 2, where the number 3 and 2 are scalars. The matrix 3 F , where F = [ 3 3 − 1 − 1 ] is calculated as follows. 3 F = 3 [ 3 3 − 1 − 1 ] = [ 3 ⋅ 3 3 ⋅ 3 − 1 ⋅ 3 − 1 ⋅ 3 ] = [ 9 9 − 3 − 3 ] Similarly, the matrix 2 A , where A = [ 1 2 4 3 ] is obtained as follows

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ISBN: 8220102019645

Author: Penna

Publisher: PEARSON

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Question

Chapter 6.4, Problem 11E

To determine

To find: The matrix 3F+2A, where F=[33−1−1] and A=[1243].

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Chapter 6.4, Problem 10E

Chapter 6.4, Problem 12E

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Kate, Luke, Mary and Nancy are sharing a cake. The cake had previously been divided into four slices (s1, s2, s3 and s4). The following table shows the values of the slices in the eyes of each player. What is fair share to nancy? S1 S2 S3 S4 Kate $4.00 $6.00 $6.00 $4.00 Luke $5.30 $5.00 $5.25 $5.45 Mary $4.25 $4.50 $3.50 $3.75 Nancy $6.00 $4.00 $4.00 $6.00

Kate, Luke, Mary and Nancy are sharing a cake. The cake had previously been divided into four slices (s1, s2, s3 and s4). The following table shows the values of the slices in the eyes of each player. S1 S2 S3 S4 Kate $4.00 $6.00 $6.00 $4.00 Luke $5.30 $5.00 $5.25 $5.45 Mary $4.25 $4.50 $3.50 $3.75 Nancy $6.00 $4.00 $4.00 $6.00 how much is the cak worth to mary

Kate, Luke, Mary and Nancy are sharing a cake. The cake had previously been divided into four slices (s1, s2, s3 and s4). The following table shows the values of the slices in the eyes of each player. What is the threshold of fair share for Luke? S1 S2 S3 S4 Kate $4.00 $6.00 $6.00 $4.00 Luke $5.30 $5.00 $5.25 $5.45 Mary $4.25 $4.50 $3.50 $3.75 Nancy $6.00 $4.00 $4.00 $6.00

Chapter 6 Solutions

EBK COLLEGE ALGEBRA

Ch. 6.1 - In Exercises 16, match the system of equations...Ch. 6.1 - In Exercises 16, match the system of equations...Ch. 6.1 - Prob. 3E Ch. 6.1 - Prob. 4E Ch. 6.1 - Prob. 5E Ch. 6.1 - Prob. 6E Ch. 6.1 - Prob. 7E Ch. 6.1 - Prob. 8E Ch. 6.1 - Prob. 9E Ch. 6.1 - Prob. 10E

Ch. 6.1 - Prob. 11E Ch. 6.1 - Prob. 12E Ch. 6.1 - Solve graphically. x y = 6, y = 2x Ch. 6.1 - Prob. 14E Ch. 6.1 - Prob. 15E Ch. 6.1 - Prob. 16E Ch. 6.1 - Prob. 17E Ch. 6.1 - Prob. 18E Ch. 6.1 - Prob. 19E Ch. 6.1 - Prob. 20E Ch. 6.1 - Prob. 21E Ch. 6.1 - Prob. 22E Ch. 6.1 - Prob. 23E Ch. 6.1 - Prob. 24E Ch. 6.1 - Prob. 25E Ch. 6.1 - Prob. 26E Ch. 6.1 - Prob. 27E Ch. 6.1 - Prob. 28E Ch. 6.1 - Prob. 29E Ch. 6.1 - Prob. 30E Ch. 6.1 - Solve using the elimination method. Also determine...Ch. 6.1 - Prob. 32E Ch. 6.1 - Prob. 33E Ch. 6.1 - Solve using the elimination method. Also determine...Ch. 6.1 - Solve using the elimination method. 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Use the following facts...Ch. 6.2 - Prob. 49E Ch. 6.2 - Prob. 50E Ch. 6.2 - Prob. 51E Ch. 6.2 - Prob. 52E Ch. 6.3 - Determine the order of the matrix. [163205]Ch. 6.3 - Prob. 2E Ch. 6.3 - Determine the order of the matrix. [2 4 0 9]Ch. 6.3 - Prob. 4E Ch. 6.3 - Prob. 5E Ch. 6.3 - Prob. 6E Ch. 6.3 - Prob. 7E Ch. 6.3 - Prob. 8E Ch. 6.3 - Prob. 9E Ch. 6.3 - Prob. 10E Ch. 6.3 - Prob. 11E Ch. 6.3 - Prob. 12E Ch. 6.3 - Prob. 13E Ch. 6.3 - Prob. 14E Ch. 6.3 - Solve the system of equations using Gaussian...Ch. 6.3 - Solve the system of equations using Gaussian...Ch. 6.3 - Prob. 17E Ch. 6.3 - Prob. 18E Ch. 6.3 - Solve the system of equations using Gaussian...Ch. 6.3 - Solve the system of equations using Gaussian...Ch. 6.3 - Solve the system of equations using Gaussian...Ch. 6.3 - Solve the system of equations using Gaussian...Ch. 6.3 - Solve the system of equations using Gaussian...Ch. 6.3 - Prob. 24E Ch. 6.3 - Solve the system of equations using Gaussian...Ch. 6.3 - Prob. 26E Ch. 6.3 - Solve the system of equations using Gaussian...Ch. 6.3 - Prob. 28E Ch. 6.3 - Prob. 29E Ch. 6.3 - Prob. 30E Ch. 6.3 - Solve the system of equations using Gaussian...Ch. 6.3 - Prob. 32E Ch. 6.3 - Prob. 33E Ch. 6.3 - Prob. 34E Ch. 6.3 - Prob. 35E Ch. 6.3 - Prob. 36E Ch. 6.3 - Prob. 37E Ch. 6.3 - Prob. 38E Ch. 6.3 - Solve the system of equations using Gaussian...Ch. 6.3 - Prob. 40E Ch. 6.3 - Use Gaussian elimination or GaussJordan...Ch. 6.3 - Prob. 42E Ch. 6.3 - Prob. 43E Ch. 6.3 - Prob. 44E Ch. 6.3 - Prob. 45E Ch. 6.3 - Prob. 46E Ch. 6.3 - Prob. 47E Ch. 6.3 - Prob. 48E Ch. 6.3 - Prob. 49E Ch. 6.3 - Prob. 50E Ch. 6.3 - Prob. 51E Ch. 6.3 - Prob. 52E Ch. 6.3 - In Exercises 53 and 54, three solutions of the...Ch. 6.3 - Prob. 54E Ch. 6.3 - Prob. 55E Ch. 6.3 - Prob. 56E Ch. 6.3 - Prob. 57E Ch. 6.3 - Prob. 58E Ch. 6.3 - Prob. 59E Ch. 6.3 - Prob. 60E Ch. 6.3 - Prob. 61E Ch. 6.3 - Prob. 62E Ch. 6.4 - Prob. 1E Ch. 6.4 - Prob. 2E Ch. 6.4 - Prob. 3E Ch. 6.4 - Prob. 4E Ch. 6.4 - For Exercises 520, let...Ch. 6.4 - Prob. 6E Ch. 6.4 - Prob. 7E Ch. 6.4 - Prob. 8E Ch. 6.4 - Prob. 9E Ch. 6.4 - Prob. 10E Ch. 6.4 - Prob. 11E Ch. 6.4 - Prob. 12E Ch. 6.4 - Prob. 13E Ch. 6.4 - For Exercises 520, let...Ch. 6.4 - For Exercises 520, let...Ch. 6.4 - Prob. 16E Ch. 6.4 - Prob. 17E Ch. 6.4 - Prob. 18E Ch. 6.4 - Prob. 19E Ch. 6.4 - Prob. 20E Ch. 6.4 - Prob. 21E Ch. 6.4 - Prob. 22E Ch. 6.4 - Prob. 23E Ch. 6.4 - Prob. 24E Ch. 6.4 - Prob. 25E Ch. 6.4 - Prob. 26E Ch. 6.4 - Prob. 27E Ch. 6.4 - Prob. 28E Ch. 6.4 - Produce. 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The food service manager...Ch. 6.4 - Prob. 34E Ch. 6.4 - Prob. 35E Ch. 6.4 - Prob. 36E Ch. 6.4 - Prob. 37E Ch. 6.4 - Prob. 38E Ch. 6.4 - Prob. 39E Ch. 6.4 - Prob. 40E Ch. 6.4 - Prob. 41E Ch. 6.4 - Prob. 42E Ch. 6.4 - Prob. 43E Ch. 6.4 - Prob. 44E Ch. 6.4 - Prob. 45E Ch. 6.4 - Prob. 46E Ch. 6.4 - Prob. 47E Ch. 6.4 - Prob. 48E Ch. 6.4 - Prob. 49E Ch. 6.4 - Prob. 50E Ch. 6.4 - Prob. 51E Ch. 6.4 - Prob. 52E Ch. 6.4 - Prob. 53E Ch. 6.4 - Prob. 54E Ch. 6.5 - Prob. 1E Ch. 6.5 - Prob. 2E Ch. 6.5 - Prob. 3E Ch. 6.5 - Prob. 4E Ch. 6.5 - Prob. 5E Ch. 6.5 - Prob. 6E Ch. 6.5 - Prob. 7E Ch. 6.5 - Prob. 8E Ch. 6.5 - Prob. 9E Ch. 6.5 - Prob. 10E Ch. 6.5 - Prob. 11E Ch. 6.5 - Prob. 12E Ch. 6.5 - Prob. 13E Ch. 6.5 - Prob. 14E Ch. 6.5 - Prob. 15E Ch. 6.5 - Prob. 16E Ch. 6.5 - Prob. 17E Ch. 6.5 - Prob. 18E Ch. 6.5 - Prob. 19E Ch. 6.5 - Prob. 20E Ch. 6.5 - Prob. 21E Ch. 6.5 - Prob. 22E Ch. 6.5 - Prob. 23E Ch. 6.5 - Prob. 24E Ch. 6.5 - Prob. 25E Ch. 6.5 - Prob. 26E Ch. 6.5 - Prob. 27E Ch. 6.5 - Prob. 28E Ch. 6.5 - Prob. 29E Ch. 6.5 - Prob. 30E Ch. 6.5 - Prob. 31E Ch. 6.5 - Prob. 32E Ch. 6.5 - Prob. 33E Ch. 6.5 - Prob. 34E Ch. 6.5 - Prob. 35E Ch. 6.5 - Prob. 36E Ch. 6.5 - Prob. 37E Ch. 6.5 - Prob. 38E Ch. 6.5 - Prob. 39E Ch. 6.5 - Prob. 40E Ch. 6.5 - Prob. 41E Ch. 6.5 - Prob. 42E Ch. 6.5 - Prob. 43E Ch. 6.5 - Prob. 44E Ch. 6.5 - Prob. 45E Ch. 6.5 - Prob. 46E Ch. 6.5 - Prob. 47E Ch. 6.5 - Prob. 48E Ch. 6.5 - Prob. 49E Ch. 6.5 - Prob. 50E Ch. 6.5 - Prob. 51E Ch. 6.5 - Prob. 52E Ch. 6.5 - Prob. 53E Ch. 6.5 - Prob. 54E Ch. 6.6 - Prob. 1E Ch. 6.6 - Prob. 2E Ch. 6.6 - Prob. 3E Ch. 6.6 - Prob. 4E Ch. 6.6 - Prob. 5E Ch. 6.6 - Prob. 6E Ch. 6.6 - Prob. 7E Ch. 6.6 - Prob. 8E Ch. 6.6 - Prob. 9E Ch. 6.6 - Prob. 10E Ch. 6.6 - Prob. 11E Ch. 6.6 - Prob. 12E Ch. 6.6 - Use the following matrix for Exercises 917:...Ch. 6.6 - Prob. 14E Ch. 6.6 - Use the following matrix for Exercises 917:...Ch. 6.6 - Prob. 16E Ch. 6.6 - Prob. 17E Ch. 6.6 - Prob. 18E Ch. 6.6 - Prob. 19E Ch. 6.6 - Prob. 20E Ch. 6.6 - Prob. 21E Ch. 6.6 - Prob. 22E Ch. 6.6 - Prob. 23E Ch. 6.6 - Prob. 24E Ch. 6.6 - Prob. 25E Ch. 6.6 - Prob. 26E Ch. 6.6 - Prob. 27E Ch. 6.6 - Prob. 28E Ch. 6.6 - Prob. 29E Ch. 6.6 - Prob. 30E Ch. 6.6 - Prob. 31E Ch. 6.6 - Prob. 32E Ch. 6.6 - Prob. 33E Ch. 6.6 - Prob. 34E Ch. 6.6 - Prob. 35E Ch. 6.6 - Prob. 36E Ch. 6.6 - Prob. 37E Ch. 6.6 - Prob. 38E Ch. 6.6 - Prob. 39E Ch. 6.6 - Prob. 40E Ch. 6.6 - Prob. 41E Ch. 6.6 - Prob. 42E Ch. 6.6 - Prob. 43E Ch. 6.6 - Solve using Cramers rule. 3x+5y=2,2x3z=7,4y+2z=1 Ch. 6.6 - Prob. 45E Ch. 6.6 - Prob. 46E Ch. 6.6 - Prob. 47E Ch. 6.6 - Prob. 48E Ch. 6.6 - Prob. 49E Ch. 6.6 - Prob. 50E Ch. 6.6 - Prob. 51E Ch. 6.6 - Prob. 52E Ch. 6.6 - Prob. 53E Ch. 6.6 - Prob. 54E Ch. 6.6 - Prob. 55E Ch. 6.6 - Prob. 56E Ch. 6.6 - Prob. 57E Ch. 6.6 - Prob. 58E Ch. 6.6 - Prob. 59E Ch. 6.6 - Prob. 60E Ch. 6.7 - Prob. 1E Ch. 6.7 - Prob. 2E Ch. 6.7 - Prob. 3E Ch. 6.7 - Prob. 4E Ch. 6.7 - Prob. 5E Ch. 6.7 - Prob. 6E Ch. 6.7 - Prob. 7E Ch. 6.7 - Prob. 8E Ch. 6.7 - Prob. 9E Ch. 6.7 - Prob. 10E Ch. 6.7 - Prob. 11E Ch. 6.7 - Prob. 12E Ch. 6.7 - Prob. 13E Ch. 6.7 - Prob. 14E Ch. 6.7 - Prob. 15E Ch. 6.7 - Prob. 16E Ch. 6.7 - Prob. 17E Ch. 6.7 - Prob. 18E Ch. 6.7 - Prob. 19E Ch. 6.7 - Prob. 20E Ch. 6.7 - Prob. 21E Ch. 6.7 - Prob. 22E Ch. 6.7 - Prob. 23E Ch. 6.7 - Prob. 24E Ch. 6.7 - Prob. 25E Ch. 6.7 - Prob. 26E Ch. 6.7 - Prob. 27E Ch. 6.7 - Prob. 28E Ch. 6.7 - Prob. 29E Ch. 6.7 - Prob. 30E Ch. 6.7 - Prob. 31E Ch. 6.7 - Prob. 32E Ch. 6.7 - Prob. 33E Ch. 6.7 - Prob. 34E Ch. 6.7 - Prob. 35E Ch. 6.7 - Prob. 36E Ch. 6.7 - Prob. 37E Ch. 6.7 - Prob. 38E Ch. 6.7 - Prob. 39E Ch. 6.7 - Prob. 40E Ch. 6.7 - Prob. 41E Ch. 6.7 - Prob. 42E Ch. 6.7 - Prob. 43E Ch. 6.7 - Prob. 44E Ch. 6.7 - Prob. 45E Ch. 6.7 - Prob. 46E Ch. 6.7 - Prob. 47E Ch. 6.7 - Prob. 48E Ch. 6.7 - Prob. 49E Ch. 6.7 - Prob. 50E Ch. 6.7 - Prob. 51E Ch. 6.7 - Prob. 52E Ch. 6.7 - Prob. 53E Ch. 6.7 - Prob. 54E Ch. 6.7 - Prob. 55E Ch. 6.7 - Graph the system of inequalities. Then find the...Ch. 6.7 - Graph the system of inequalities. Then find the...Ch. 6.7 - Prob. 58E Ch. 6.7 - Prob. 59E Ch. 6.7 - Graph the system of inequalities. Then find the...Ch. 6.7 - Find the maximum value and the minimum value of...Ch. 6.7 - Find the maximum value and the minimum value of...Ch. 6.7 - Prob. 63E Ch. 6.7 - Prob. 64E Ch. 6.7 - Prob. 65E Ch. 6.7 - Maximizing Income. Golden Harvest Foods makes...Ch. 6.7 - Prob. 67E Ch. 6.7 - Prob. 68E Ch. 6.7 - Prob. 69E Ch. 6.7 - Prob. 70E Ch. 6.7 - Prob. 71E Ch. 6.7 - Prob. 72E Ch. 6.7 - Minimizing Transportation Cost. An airline with...Ch. 6.7 - Minimizing Transportation Cost. Suppose that in...Ch. 6.7 - Maximizing Profit. It takes Fena Tailoring 3 hr of...Ch. 6.7 - Maximizing Profit. Cambridge Metal Works...Ch. 6.7 - Minimizing Nutrition Cost. Suppose that it takes...Ch. 6.7 - Prob. 78E Ch. 6.7 - Prob. 79E Ch. 6.7 - Prob. 80E Ch. 6.7 - Prob. 81E Ch. 6.7 - Prob. 82E Ch. 6.7 - Prob. 83E Ch. 6.7 - Prob. 84E Ch. 6.7 - Prob. 85E Ch. 6.7 - Graph the system of inequalities. y x + 1, y x2 Ch. 6.7 - Prob. 87E Ch. 6.7 - Prob. 88E Ch. 6.7 - Prob. 89E Ch. 6.7 - Prob. 90E Ch. 6.7 - Prob. 91E Ch. 6.8 - Prob. 1E Ch. 6.8 - Prob. 2E Ch. 6.8 - Prob. 3E Ch. 6.8 - Prob. 4E Ch. 6.8 - Prob. 5E Ch. 6.8 - Prob. 6E Ch. 6.8 - Prob. 7E Ch. 6.8 - Prob. 8E Ch. 6.8 - Prob. 9E Ch. 6.8 - Prob. 10E Ch. 6.8 - Prob. 11E Ch. 6.8 - Prob. 12E Ch. 6.8 - Prob. 13E Ch. 6.8 - Decompose into partial fractions. Check your...Ch. 6.8 - Decompose into partial fractions. Check your...Ch. 6.8 - Prob. 16E Ch. 6.8 - Prob. 17E Ch. 6.8 - Prob. 18E Ch. 6.8 - Prob. 19E Ch. 6.8 - Decompose into partial fractions. Check your...Ch. 6.8 - Prob. 21E Ch. 6.8 - Prob. 22E Ch. 6.8 - Prob. 23E Ch. 6.8 - Prob. 24E Ch. 6.8 - Decompose into partial fractions. Check your...Ch. 6.8 - Prob. 26E Ch. 6.8 - Prob. 27E Ch. 6.8 - Prob. 28E Ch. 6.8 - Prob. 29E Ch. 6.8 - Prob. 30E Ch. 6.8 - Prob. 31E Ch. 6.8 - Prob. 32E Ch. 6.8 - Prob. 33E Ch. 6.8 - Prob. 34E Ch. 6.8 - Prob. 35E Ch. 6 - Determine whether the statement is true or false....Ch. 6 - Prob. 2MC Ch. 6 - Prob. 3MC Ch. 6 - Prob. 4MC Ch. 6 - Prob. 5MC Ch. 6 - Prob. 6MC Ch. 6 - Prob. 7MC Ch. 6 - Prob. 8MC Ch. 6 - Prob. 9MC Ch. 6 - Prob. 10MC Ch. 6 - Prob. 11MC Ch. 6 - Prob. 12MC Ch. 6 - Prob. 13MC Ch. 6 - Prob. 14MC Ch. 6 - Prob. 15MC Ch. 6 - Prob. 16MC Ch. 6 - Prob. 17MC Ch. 6 - Prob. 18MC Ch. 6 - Prob. 19MC Ch. 6 - Prob. 20MC Ch. 6 - Prob. 21MC Ch. 6 - Prob. 1RE Ch. 6 - Prob. 2RE Ch. 6 - Prob. 3RE Ch. 6 - Prob. 4RE Ch. 6 - Prob. 5RE Ch. 6 - Prob. 6RE Ch. 6 - Prob. 7RE Ch. 6 - Prob. 8RE Ch. 6 - Prob. 9RE Ch. 6 - Prob. 10RE Ch. 6 - Prob. 11RE Ch. 6 - Prob. 12RE Ch. 6 - Prob. 13RE Ch. 6 - Prob. 14RE Ch. 6 - Prob. 15RE Ch. 6 - Prob. 16RE Ch. 6 - Prob. 17RE Ch. 6 - Prob. 18RE Ch. 6 - Prob. 19RE Ch. 6 - Prob. 20RE Ch. 6 - Prob. 21RE Ch. 6 - Prob. 22RE Ch. 6 - Prob. 23RE Ch. 6 - Solve the system of equations using Gaussian...Ch. 6 - Prob. 25RE Ch. 6 - Coins. 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Jackson is taking a test...Ch. 6 - Decompose into partial fractions. 5(x+2)2(x+1)Ch. 6 - Prob. 61RE Ch. 6 - Prob. 62RE Ch. 6 - Prob. 63RE Ch. 6 - Prob. 64RE Ch. 6 - Prob. 65RE Ch. 6 - Prob. 66RE Ch. 6 - Prob. 67RE Ch. 6 - Prob. 68RE Ch. 6 - Prob. 69RE Ch. 6 - Prob. 1T Ch. 6 - Prob. 2T Ch. 6 - Prob. 3T Ch. 6 - Prob. 4T Ch. 6 - Prob. 5T Ch. 6 - Prob. 6T Ch. 6 - Prob. 7T Ch. 6 - Prob. 8T Ch. 6 - Prob. 9T Ch. 6 - Prob. 10T Ch. 6 - Prob. 11T Ch. 6 - Prob. 12T Ch. 6 - Prob. 13T Ch. 6 - Prob. 14T Ch. 6 - Prob. 15T Ch. 6 - Prob. 16T Ch. 6 - Prob. 17T Ch. 6 - Prob. 18T Ch. 6 - Prob. 19T Ch. 6 - Prob. 20T Ch. 6 - Prob. 21T Ch. 6 - Prob. 22T Ch. 6 - Prob. 23T Ch. 6 - Prob. 24T Ch. 6 - Prob. 25T

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The matrix 3 F + 2 A , where F = [ 3 3 − 1 − 1 ] and A = [ 1 2 4 3 ] .

Solution Summary: The author explains the matrix 3F+2A, where F=left[cc3& 3 -1&-1end

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To find: The matrix 3F+2A, where F=[33−1−1] and A=[1243].

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Chapter 6 Solutions