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mathematics
college mathematics for business economics

Questions and Answers of College Mathematics For Business Economics

Solve the system in Problem 16 by performing appropriate row operations on the augmented matrix of the system. Data in Problem 16Solve the following system using elimination by addition: 3m +
In Problems 19–24, perform the operations that are defined, given the following matrices: A + B A = - [ D = 3 2 4 لیا -3 1 3 4 -3 2 2 3 -2 32 B = 1 2 -3 C = [3 2 4] -5 F-141 E = -2
Find x1 and x2 in Problems 17–20. 1-[2-31][2] X2
In Problems 19–24, perform the operations that are defined, given the following matrices: E + DA A = - [ D = 3 2 4 لیا -3 1 3 4 -3 2 2 3 -2 32 B = 1 2 -3 C = [3 2 4] -5 F-141 E = -2
In Problems 21–24, find x1 and x2. -1X1 -2x₂. 5 7.
In Problems 19–24, perform the operations that are defined, given the following matrices: DA - 3E A = - [ D = 3 2 4 لیا -3 1 3 4 -3 2 2 3 -2 32 B = 1 2 -3 C = [3 2 4] -5 F-141 E = -2
In Problems 21–26, find (I - M)-1 and X. M 0.2 0.2 0.3 0.3 D 10 [29] 25
In Problems 21–24, find x1 and x2. 3 X1 []=[] 4 6.
In Problems 19–24, perform the operations that are defined, given the following matrices: CB A = - [ D = 3 2 4 لیا -3 1 3 4 -3 2 2 3 -2 32 B = 1 2 -3 C = [3 2 4] -5 F-141 E = -2
In Problems 21–24, find x1 and x2. [K]-[5] 2 -3 ] Lx₂. 15 10
Find the products in Problems 23–30. [5 -2] -3 -4
In Problems 21–26, find (I - M)-1 and X M 0.7 0.8 0.3 0.2 D = 25 75
In Problems 19–24, perform the operations that are defined, given the following matrices: BC A = - [ D = 3 2 4 لیا -3 1 3 4 -3 2 2 3 -2 32 B = 1 2 -3 C = [3 2 4] -5 F-141 E = -2
In Problems 19–24, perform the operations that are defined, given the following matrices: AD - BC A = - [ D = 3 2 4 لیا -3 1 3 4 -3 2 2 3 -2 32 B = 1 2 -3 C = [3 2 4] -5 F-141 E = -2
Find the products in Problems 23–30. [-4 3] -2 1
In Problems 25–30, solve for x1 and x2. 1 2x₁ 3 [+]=] 1 1 1JL.x₂ X2. 4
Find the products in Problems 23–30. -3 [2] 15 -4. [5 -2]
In Problems 21–26, find (I - M)-1 and X 0.3 0.1 M = 0.2 0.1 0.1 0.1 0.3 0.2 0.2; D = 0.1 20 5 10
Find the products in Problems 23–30. -2 [-4 3]
In Problems 9–18, find the matrix products. Note that each product can be found mentally, without the use of a calculator or pencil-and-paper calculations. 1 0 2 - 1 2 3 0 [ 3 -2 -4 3 -2 -5 1 2
In Problems 25–30, solve for x1 and x2. [B][图] 2 2x₁ 2 3 + 3
Find the products in Problems 23–30. [3 -2 -4] 2 -3
In Problems 9–18, find the matrix products. Note that each product can be found mentally, without the use of a calculator or pencil-and-paper calculations. 1 0 3 1 0 H 00 10 1 0 -3 0 0 -1 -2 1
In Problems 25–30, solve for x1 and x2. 30-19-14 + 3 -2 6
Find the products in Problems 23–30. [1 -2 2] 2 -1
Find the products in Problems 23–30. 2 [3 -2 -4] -3
Find the products in Problems 23–30. 2 -1 [1 -2 2]
Problems 31–48 refer to the following matrices:Perform the indicated operations, if possible. AB A = C = 2 0 -1 3 4 -2 -2 1 02 4 -3 1 35 B = D = -3 25 3 0 - 2
Problems 31–48 refer to the following matrices:Perform the indicated operations, if possible. BA A = C = 2 0 -1 3 4 -2 -2 1 02 4 -3 1 35 B = D = -3 25 3 0 - 2
Problems 31–48 refer to the following matrices:Perform the indicated operations, if possible. CA A = C = 2 0 -1 3 4 -2 -2 1 02 4 -3 1 35 B = D = -3 25 3 0 - 2
Without performing any row operations, explain why each of the matrices in Problems 29–38 does not have an inverse. 0 1 0 2
Problems 31–48 refer to the following matrices:Perform the indicated operations, if possible. AC A = C = 2 0 -1 3 4 -2 -2 1 02 4 -3 1 35 B = D = -3 25 3 0 - 2
Without performing any row operations, explain why each of the matrices in Problems 29–38 does not have an inverse. [0 0 2 -1
Problems 31–48 refer to the following matrices:Perform the indicated operations, if possible. B2 A = C = 2 0 -1 3 4 -2 -2 1 02 4 -3 1 35 B = D = -3 25 3 0 - 2
Problems 31–48 refer to the following matrices:Perform the indicated operations, if possible. C2 A = C = 2 0 -1 3 4 -2 -2 1 02 4 -3 1 35 B = D = -3 25 3 0 - 2
Without performing any row operations, explain why each of the matrices in Problems 29–38 does not have an inverse. 3 0 0
Without performing any row operations, explain why each of the matrices in Problems 29–38 does not have an inverse. 3 2] 6
Discuss the number of solutions for a system of n equations in n variables if the coefficient matrix(A) Has an inverse. (B) Does not have an inverse.
Without performing any row operations, explain why each of the matrices in Problems 29–38 does not have an inverse. -2 4 -3 6]
Problems 31–48 refer to the following matrices:Perform the indicated operations, if possible.B + AD A = C = 2 0 -1 3 4 -2 -2 1 02 4 -3 1 35 B = D = -3 25 3 0 - 2
Problems 31–48 refer to the following matrices:Perform the indicated operations, if possible.C + DA A = C = 2 0 -1 3 4 -2 -2 1 02 4 -3 1 35 B = D = -3 25 3 0 - 2
Given M in Problems 39–48, find M-1 and show that M-1 M = I. -1 0 -3 1
Problems 31–48 refer to the following matrices:Perform the indicated operations, if possible.(0.1) DB A = C = 2 0 -1 3 4 -2 -2 1 02 4 -3 1 35 B = D = -3 25 3 0 - 2
Problems 31–48 refer to the following matrices:Perform the indicated operations, if possible.(0.2) CD A = C = 2 0 -1 3 4 -2 -2 1 02 4 -3 1 35 B = D = -3 25 3 0 - 2
Given M in Problems 39–48, find M-1 and show that M-1 M = I. 0 -5 -1
A computer design company is preparing to market a new computer. The company’s fixed costs for research, development, and tooling are $253,000 and the variable costs are $35.50 per unit. The
Problems 31–48 refer to the following matrices:Perform the indicated operations, if possible. A = C = 2 0 1 4 -2 -1 3 4 -2 0 2 1 5 -3 3 B = D= -3 30 25 0 - 2
Given M in Problems 39–48, find M-1 and show that M-1 M = I. 1 2 3
Given M in Problems 39–48, find M-1 and show that M-1 M = I. 2 5 1 3
Problems 31–48 refer to the following matrices:Perform the indicated operations, if possible. A = C = 2 0 1 4 -2 -1 3 4 -2 0 2 1 5 -3 3 B = D= -3 30 25 0 - 2
Given M in Problems 39–48, find M-1 and show that M-1 M = I. 1 2 3 7
Problems 31–48 refer to the following matrices:Perform the indicated operations, if possible. A = C = 2 0 1 4 -2 -1 3 4 -2 0 2 1 5 -3 3 B = D= -3 30 25 0 - 2
Given M in Problems 39–48, find M-1 and show that M-1 M = I. 2 RO 1 1
Given M in Problems 39–48, find M-1 and show that M-1 M = I. 1 0 2 -3 0 11 -1 4
Problems 31–48 refer to the following matrices:Perform the indicated operations, if possible.ACD A = C = 2 0 1 4 -2 -1 3 4 -2 0 2 1 5 -3 3 B = D= -3 30 25 0 - 2
Given M in Problems 39–48, find M-1 and show that M-1 M = I. 2 1 0 3 2 -1 -5 0 35
Given M in Problems 39–48, find M-1 and show that M-1 M = I. 1 2 3 1 0 لیا 0 -1 2
Problems 31–48 refer to the following matrices:Perform the indicated operations, if possible.DBA A = C = 2 0 1 4 -2 -1 3 4 -2 0 2 1 5 -3 3 B = D= -3 30 25 0 - 2
Given M in Problems 39–48, find M-1 and show that M-1 M = I. 1 2 1 0-1 -1 0 1-2
Problems 31–48 refer to the following matrices:Perform the indicated operations, if possible.BAD A = C = 2 0 1 4 -2 -1 3 4 -2 0 2 1 5 -3 3 B = D= -3 30 25 0 - 2
In Problems 55–60, find the inverse. Note that each inverse can be found mentally, without the use of a calculator or penciland-paper calculations. 2 0 2
In Problems 53 and 54, use a graphing calculator to calculate B, B2 , B3 , . . . and AB, AB2 , AB3 , . . . . Describe any patterns you observe in each sequence of matrices. A [0.3 0.7] and
The rush-hour traffic flow (in vehicles per hour) for a network of four one-way streets is shown in the figure. (A) Write the system of equations determined by the flow of traffic through the four
In Problems 55–60, find the inverse. Note that each inverse can be found mentally, without the use of a calculator or penciland-paper calculations. 4 0 0 4
In Problems 55–60, find the inverse. Note that each inverse can be found mentally, without the use of a calculator or penciland-paper calculations. 3 0 0] -5
In Problems 55–60, find the inverse. Note that each inverse can be found mentally, without the use of a calculator or penciland-paper calculations. 4 0 0 0 2 0 0 0-8
In Problems 55–60, find the inverse. Note that each inverse can be found mentally, without the use of a calculator or penciland-paper calculations. -2 0 712
In Problems 59–62, write each system as a matrix equation and solve using the inverse coefficient matrix. Use a graphing calculator or computer to perform the necessary calculations. x1 + 8x2 + 7x3
In Problems 55–60, find the inverse. Note that each inverse can be found mentally, without the use of a calculator or penciland-paper calculations. 30 3 0 0 0 -6 0 0 0 -5
In Problems 59–62, write each system as a matrix equation and solve using the inverse coefficient matrix. Use a graphing calculator or computer to perform the necessary calculations. 6x₁ + 9x2 +
Find the inverse of each matrix in Problems 61–68, if it exists. -5 2 1 -2 1 0 -2 0 1
A concert hall has 10,000 seats and two categories of ticket prices, $25 and $35. Assume that all seats in each category can be sold. (A) How many tickets of each category should be sold to bring in
Find the inverse of each matrix in Problems 61–68, if it exists. 2 1 1 -2 4 11 01
Find the inverse of each matrix in Problems 61–68, if it exists. -1 4 44 -2 3 نیا 204 0 04
Find the inverse of each matrix in Problems 61–68, if it exists. 2 1 -1 1 1 1 0 0 -1
Find the inverse of each matrix in Problems 61–68, if it exists. 4 4 5 22 20 0 5
In Problems 73–75, find A-1 and A2 . A -2 3 2]
Find the inverse of each matrix in Problems 61–68, if it exists. 2 -1 -2 -4 6 2 22 -2 28 8 -1
In Problems 73–75, find A-1 and A2 . A = [ _- $ -5 4 3 -4.
The following message was encoded with matrix C. Decode this message: 25 75 55 35 50 43 83 54 60 53 25 13 59 9 53 15 35 40 15 45 33 60 60 36 51 15 7 37 0 22
A farmer can buy four types of plant food. Each barrel of mix A contains 30 pounds of phosphoric acid, 50 pounds of nitrogen, and 30 pounds of potash; each barrel of mix B contains 30 pounds of
Problems 37 and 38 refer to the following ads. Use the information given in the Bison sedan ad to determine if this is really 0% financing. If not, explain why and determine what rate a consumer
In Problems 9–18, if a matrix is in reduced form, say so. If not, explain why and indicate the row operation(s) necessary to transform the matrix into reduced form. 1 0 0 0 1 2 0 -1 3 0 4
In Problems 9–18, if a matrix is in reduced form, say so. If not, explain why and indicate the row operation(s) necessary to transform the matrix into reduced form. 1 0 0 00 1 0 01 -2 0 1
In Problems 9–18, if a matrix is in reduced form, say so. If not, explain why and indicate the row operation(s) necessary to transform the matrix into reduced form. 0 1 10 003 00 0 2 -1 0
In Problems 9–18, if a matrix is in reduced form, say so. If not, explain why and indicate the row operation(s) necessary to transform the matrix into reduced form. 1 0 0 10 0 1 0 0 1 1 0
In Problems 9–18, if a matrix is in reduced form, say so. If not, explain why and indicate the row operation(s) necessary to transform the matrix into reduced form. 10 0 -2 0 1 1 []
In Problems 9–18, if a matrix is in reduced form, say so. If not, explain why and indicate the row operation(s) necessary to transform the matrix into reduced form. 1 -200 011 0
Perform the row operations indicated in Problems 23–34 on the following matrix: 1 -3 4 -6 2 28 -8
Perform the row operations indicated in Problems 23–34 on the following matrix: 4 -3 -6 2 -8.
Perform the row operations indicated in Problems 23–34 on the following matrix: -4R1 → R1 4 -3 -6 2 -8.
Perform the row operations indicated in Problems 23–34 on the following matrix: -2R1 → R1 4 -3 -6 2 -8.
Perform the row operations indicated in Problems 23–34 on the following matrix: 2R2 → R2 4 -3 -6 2 -8.
Perform the row operations indicated in Problems 23–34 on the following matrix: -1R2 → R2 4 -3 -6 2 -8.
Perform the row operations indicated in Problems 23–34 on the following matrix: 4 -3 -6 2 -8.
Perform the row operations indicated in Problems 23–34 on the following matrix: 4 -3 -6 2 -8.
Perform the row operations indicated in Problems 23–34 on the following matrix: 1 4 -3 -6 2 -8
Perform the row operations indicated in Problems 23–34 on the following matrix: -3 4 -6 -8] 28
Perform the row operations indicated in Problems 23–34 on the following matrix: 1 4 -3 -6 2 -8
Perform the row operations indicated in Problems 23–34 on the following matrix: 1 4 -3 -6 2 -8

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