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college mathematics for business

Questions and Answers of College Mathematics For Business

Use row operations to change each matrix in Problem to reduced form. -3 1 2 3 -6
A person has $5,000 to invest, part at 5% and the rest at 10%. How much should be invested at each rate to yield $400 per year? Solve using augmented matrix methods.
Problem are concerned with the linear systemy = mx + by = nx + cwhere m, b, n, and c are nonzero constants.If the system has no solution, discuss the relationships among the four constants.
Given M in Problem find M-1 and show that M-1M = I. 3 [2 7.
In Problem the matrix equation is not solved correctly. Explain the mistake and find the correct solution. Assume that the indicated inverses exist. AX = BA, X = ABA, X = B %3D %3| %3D
Problem are concerned with the linear systemy = mx + by = nx + cwhere m, b, n, and c are nonzero constants.If the system has a unique solution, discuss the relationships among the four constants.
In Problem the matrix equation is not solved correctly. Explain the mistake and find the correct solution. Assume that the indicated inverses exist. AX = B, X = BA
Each of the matrices in Problem is the result of performing a single row operation on the matrix A shown below. Identify the row operation. -3 %3D 6. -3 12
An international mining company has two mines in Voisey’s Bay and Hawk Ridge. The composition of the ore from each field is given in the table. How many tons of ore from each mine should be used to
In a free competitive market, if the demand for a good is greater than the supply, will the price tend to go up or come down?
A grain company wants to lease a fleet of 20 covered hopper railcars with a combined capacity of 108,000 cubic feet. Hoppers with three different carrying capacities are available: 3,000 cubic feet,
In a free competitive market, if the supply of a good is greater than the demand, will the price tend to go up or come down?
In Problem the matrix equation is not solved correctly. Explain the mistake and find the correct solution. Assume that the indicated inverses exist. XA = B, X = AB %3|
Use row operations to change each matrix in Problem to reduced form. 1 16 2 3 4 25
Each of the matrices in Problem is the result of performing a single row operation on the matrix A shown below. Identify the row operation. -3 %3D 6. -3 12
In Problem solve the system. Note that each solution can be found mentally, without the use of a calculator or pencil-and-paper calculation; try to visualize the graphs of both lines.x + 3y = 90x + y
Given M in Problem find M-1 and show that M-1M = I. 2 3
In Problem solve the system. Note that each solution can be found mentally, without the use of a calculator or pencil-and-paper calculation; try to visualize the graphs of both lines.x - 2y = 40x + y
A cookware manufacturer is preparing to market a new pasta machine. The company’s fixed costs for research, development, tooling, etc., are $243,000 and the variable costs are $22.45 per machine.
In Problem the matrix equation is not solved correctly. Explain the mistake and find the correct solution. Assume that the indicated inverses exist. B ХА 3 В, Х - A
Each of the matrices in Problem is the result of performing a single row operation on the matrix A shown below. Identify the row operation. -3 %3D 6. -3 12
In Problem solve the system. Note that each solution can be found mentally, without the use of a calculator or pencil-and-paper calculation; try to visualize the graphs of both lines.-2x + y = 05x -
One solution to the input–output equation X = MX + D is given by X = (I - M)-1D. Discuss the validity of each step in the following solutions of this equation. (Assume that all necessary inverses
In Problem the matrix equation is not solved correctly. Explain the mistake and find the correct solution. Assume that the indicated inverses exist. B AX = B, X = A
Use row operations to change each matrix in Problem to reduced form. -1 1 3 2.
In Problem solve the system. Note that each solution can be found mentally, without the use of a calculator or pencil-and-paper calculation; try to visualize the graphs of both lines.x + y = 0x - y =
Given M in Problem find M-1 and show that M-1M = I. -1 -3 1.
Discuss the number of solutions for the system corresponding to the reduced form shown below if(A) m ≠ 0(B) m = 0 and n ≠ 0(C) m = 0 and n = 0 1 -2 0 1 3 0 0 m 3.
In Problem solve the system. Note that each solution can be found mentally, without the use of a calculator or pencil-and-paper calculation; try to visualize the graphs of both lines.6x + 0y = 70x +
Without performing any row operations, explain why each of the matrices in Problem does not have an inverse. 1 -2. 2.
In Problem discuss the validity of each statement about linear systems. If the statement is always true, explain why. If not, give a counterexample.If there are no all-zero rows, then the system has
Each of the matrices in Problem is the result of performing a single row operation on the matrix A shown below. Identify the row operation. -3 %3D 6. -3 12
In Problem solve the system. Note that each solution can be found mentally, without the use of a calculator or pencil-and-paper calculation; try to visualize the graphs of both lines.5x + 0y = 40x +
In Problem discuss the validity of each statement about linear systems. If the statement is always true, explain why. If not, give a counterexample.If there is an all-zero row, then the system has
Without performing any row operations, explain why each of the matrices in Problem does not have an inverse. -2 [2 -4.
Each of the matrices in Problem is the result of performing a single row operation on the matrix A shown below. Identify the row operation. -3 %3D 6. -3 12
Given the technology matrix M and the final demand matrix D (in billions of dollars), find (I - M)-1 and the output matrix X: 0.2 0.4 40 M 0.1 0.3 0.1 D = 20 0.4 0.2 30 ||
In Problem solve the system. Note that each solution can be found mentally, without the use of a calculator or pencil-and-paper calculation; try to visualize the graphs of both lines.x + 0y = -40x +
Without performing any row operations, explain why each of the matrices in Problem does not have an inverse. -1 0 0] 2.
Each of the matrices in Problem is the result of performing a single row operation on the matrix A shown below. Identify the row operation. -3 %3D 6. -3 12
An economy is based on two sectors, agriculture and energy. Given the technology matrix M and the final demand matrix D (in billions of dollars), find (I - M)-1 and the output matrix X: A E A
Find x1 and x2 in Problem -2 3 3 Lx2. -1][2
In Problem find the matrix products. Note that each product can be found mentally, without the use of a calculator or pencil-and-paper calculations. -1 (A) -1 (B) 1 5 2 5 20
In Problem perform the operations that are defined, given the following matrices:CD 1 2 A-GB-RH 3 1 = 2 C = [23] D 1
In Problem perform the indicated operation, if possible. -1][2 -3 -2. 2.
Without performing any row operations, explain why each of the matrices in Problem does not have an inverse. -2]
Each of the matrices in Problem is the result of performing a single row operation on the matrix A shown below. Identify the row operation. -3 %3D 6. -3 12
In Problem solve the system. Note that each solution can be found mentally, without the use of a calculator or pencil-and-paper calculation; try to visualize the graphs of both lines.x + 0y = 70x + y
Without performing any row operations, explain why each of the matrices in Problem does not have an inverse. 0.
In Problem discuss the validity of each statement about linear systems. If the statement is always true, explain why. If not, give a counterexample.If the number of leftmost ones is equal to the
Perform the row operations indicated in Problem on the following matrix:(- ½) R1 + R2 →R2 2 -4 6. 1 -3 5.
Without performing any row operations, explain why each of the matrices in Problem does not have an inverse. Го -2
Find the inverse of the matrix A given below. Show that A-1A = I. A = 4 5 4 5 11 6 -4 1
Perform the row operations indicated in Problem on the following matrix:(- 1) R1 + R2 →R2 2 -4 6. 1 -3 5.
Without performing any row operations, explain why each of the matrices in Problem does not have an inverse. 2 -2 1 -3
Use graphical approximation techniques on a graphing calculator to find the solution of the following system to two decimal places:x - 5y = -52x + 3y = 12
Perform the row operations indicated in Problem on the following matrix:(- 2) R2 + R1 →R1 2 -4 6. 1 -3 5.
An economy is based on two sectors, coal and steel. Given the technology matrix M and the final demand matrix D (in billions of dollars), find (I - M)-1 and the output matrix X: S 0.45 0.65 0.55
Without performing any row operations, explain why each of the matrices in Problem does not have an inverse. 1 -2 3 2 -1
Perform the row operations indicated in Problem on the following matrix:(- 1) R2 + R1 →R1 2 -4 6. 1 -3 5.
Find the products in Problem. -2 0 [1 -1 3]
In Problem solve for x1 and x2. 3 2 4 [2 1 JLx2. [3.
Without performing any row operations, explain why each of the matrices in Problem does not have an inverse. -2 3 4 0 1 .
Perform the row operations indicated in Problem on the following matrix:-½ R1 →R1 2 -4 6. 1 -3 5.
Find the products in Problem. [-1 0 1]
In Problem solve for x1 and x2. 14 [4 2 X1 1 J[x2. 8. .3. 3.
Without performing any row operations, explain why each of the matrices in Problem does not have an inverse. 1 2 -3 2 -1
Perform the row operations indicated in Problem on the following matrix:-½ R1 →R1 2 -4 6. 1 -3 5.
Find the products in Problem. [1-13] -2 0 1
In Problem solve for x1 and x2. 10 1 || 지 -3]Lx 3 -- X2. 5 16
Discuss the relationship between the number of solutions of the following system and the constant k.2x1 - 6x2 = 4-x1 + kx2 = -2
In Problem write the solution of the linear system corresponding to each reduced augmented matrix. [1 0 -2 3 4 0 1 -1 2 -1,
In Problem examine the product of the two matrices to determine if each is the inverse of the other. 1 1 0 -1 3 1 -3 1 -2 0 0
Perform the row operations indicated in Problem on the following matrix:R1 + R2 →R2 2 -4 6. 1 -3 5.
Find the products in Problem. [-1 0 1] 1 3 2.
In Problem solve for x1 and x2. 14 -4 -12JLX2 2. 7]
In Problem write the solution of the linear system corresponding to each reduced augmented matrix. 1 -2 0 -3 -5 0 1 3 2
In Problem examine the product of the two matrices to determine if each is the inverse of the other. -1 1 2 -1 -2 -2 1 -4 -5 3. 3. 3.
Perform the row operations indicated in Problem on the following matrix:R1 + R2 →R1 2 -4 6. 1 -3 5.
Perform the row operations indicated in Problem on the following matrix:R1 + R2 →R1 2 -4 6. 1 -3 5.
Find the products in Problem. [-3 5] -4.
In Problem solve for x1 and x2. [2 3 [10] 3 x2 [5. 16
In Problem write the solution of the linear system corresponding to each reduced augmented matrix. -4 1 -1 6
In Problem examine the product of the two matrices to determine if each is the inverse of the other. 1 0 -3 1 -2 3 -1 0 0 1 0 0 1
Find the inverse of the matrix A given below by appropriate row operations on [A | I]. Show that A- 1A = I. 1 3 A = 2 3 4 1 1
Perform the row operations indicated in Problem on the following matrix:-2R2→R2 2 -4 6. 1 -3 5.
In Problem solve for x1 and x2. 1. 3 x1 1. 14 Lx2 [2. 7]
Find the products in Problem. -5 [3 4. -2]
In Problem write the solution of the linear system corresponding to each reduced augmented matrix. [1 0 -3 1 -7.
In Problem examine the product of the two matrices to determine if each is the inverse of the other. 1 2 1 -2 1 0 1 0 -1 -1 1 1 -1
Perform the row operations indicated in Problem on the following matrix:2R2→R2 2 -4 6. 1 -3 5.
In Problem perform the operations that are defined, given the following matrices:AD - BC -2 A = 1 B = C = [2 1 3] 3 [- -2 1 3 E = -4 D = 1 2 3. 2. 3. ||
Find the products in Problem. 2 [-3 5] -4
In Problem examine the product of the two matrices to determine if each is the inverse of the other. 7 4 3 4 -5 -3. -5 -7.
In Problem write the solution of the linear system corresponding to each reduced augmented matrix. 1 -3 0 0
Perform the row operations indicated in Problem on the following matrix:R2↔R1 2 -4 6. 1 -3 5.
In Problem perform the operations that are defined, given the following matrices:CB -2 A = 1 B = C = [2 1 3] 3 [- -2 1 3 E = -4 D = 1 2 3. 2. 3. ||
Find the products in Problem. -5 -2] [3 4.
In Problem find x1 and x2. [15] [2 -3 JLx 10
In Problem examine the product of the two matrices to determine if each is the inverse of the other. -8 00 2.

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