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I have attached the problems. 1. Write the augmented matrix for the given system: Answer HTML Editor 2. Use the system in problem #1. Without interchanging any of the rows in the augmented matrix, what is the first value which will be replaced with zero when using the Gaussian Elimination method? A. -1 B

Vectors, matrices, and bases

Please show all work. Thanks. See attached for proper formatting Question 1 Let B={v1,...,vn} be a basis of a subspace V of Rnx1. Let x be the nonzero vector x=a1v1+...+anvn for scalars ai. Let C={x, v2,...,vn}. a) Show that if a1 is not equal to 0 then C is also a basis. b) Show that if a1 =0 then C is not a basis.

Matrix problem

Four theaters comprise the Cinema Center: Cinemas I, II, III, and IV. The admission price for one feature at the Center is $2 for children, $3.50 for students, and $5.75 for adults. Suppose that on a particular Sunday 240 children, 100 students, and 75 adults attended the evening show in Cinema I; 60 children, 240 students, and

Matrices and word problems

A contractor employs carpenters, electricians, and plumbers, working three shifts per day. The number of labor-hours required for carpenters in shift 1 is 40 hours, electricians in shift 1 is 28 hours, and plumbers in shift 1 is 9 hrs. The number of labor-hours required for carpenters in shift 2 is 18 hours, electricians in shif

Matrices and scalars for inverse covariance

I am unclear as to how some scalars have been calculated. I know what the two vectors and the inverse covariance variance matrix are but please could you clarify the operations required to compute into a single number? There is also a set of data on page two that needs computing along with a general explanation of how to do it.

Linear Equations and Matrices

Gretchen Schmidt plans to buy shares of two stocks. One costs $32 per share and pays dividends of $1.20 per share. The other costs $23 per share and pays dividends of $1.40 per share. She has $10,100 to spend and wants to earn dividends of $540. How many share of each stock should she buy? Use the form of " AX=B " equation

Matrices and their Applications

Please help me by showing how these problems on matrices are worked out. (See the Attached Questions File) Answer all questions and show work 1. Find: 2. Find the inverse of: 3. Compute the transpose of A = 4. Introduce slack variables and set up the initial tableau. Do not solve. M


In your own words can you explain to me how inverses are used to solve linear systems?

Construct the transition matrix.

4. A city is served by three cable TV companies: Xcellent Cable, Your Cable, and Zephyr Cable. A survey of 1000 cable subscribers shows this breakdown of customers from the beginning to the end of August. Company on Company on August 31 August 1 Xcellent Your Zephyr Xcellent 300 50 50

Gaussian Elimination

Please see the attached file. Solve the system of equations. Use Gaussian elimination. Find the Doolittle LU decomposition of H5 with scaled partial pivoting.

Partial Pivoting

Please see the attached file. Your assistance is most appreciated.

Optimal assignment problem for an array

How do you solve the optimal assignment problem for the following array by solving two dual problems? Also, how many optimal solutions are there for the array and why? J1 | J2 | J3 | J4 | J5 P1| 2 | 3 | 4 | 3 | 5 P2| 1 | 3 | 2 | 1 | 3 P3| 3 | 5 | 2 | 3 | 3 P4| 4 | 4 | 2 | 1 | 4 P5| 3 | 1 | 4 | 4 |

Linear Algebra

I think matrix A is created by the given vectors (1,0,1) and (0,1,-2) in this case. The material is from Orthogonal Bases. Please explain each step of your solution. Construct the matrix proj(v)....

Showing a matrix is totally unimodular.

This problem was a sample exam question taken from a text book. This problem is about showing a matrix is TU. This problem can be found in the Wolsey text book called "Integer Programming". A useful resource is "Integer and Combinatorial optimization" by Wolsey and Nemhauser.

Constructing a Matrix with the Given Characteristics

Linear Algebra a. Construct a 3 x 3 matrix A with C(A) belonging to N(A). b. Construct a 3 x 3 matrix A with N(A) belonging to C(A). c. Do you think there can be a 3 x 3 matrix A with N(A) = C(A)? d. Construct a 4 x 4 matrix A with C(A) = N(A).

Orthogonal Matrices' Transposes

Please see the attachment for the properly-formatted question on transposing an orthogonal matrix. Please solve for part (b). Please explain each step of your solution. Thank you.

Matrices and Systems of Equations

1. To raise money, the local baseball teams decided to sell team logo hats (H) and T-shirts (T). The league director decided to hold a contest among the teams to see which team can raise the most money. The contest lasted for 3 weeks. Here are the results of the first 2 weeks. The numbers represent the number of hats and T-shirt

Provide an example of a matrix that has no solution.

Assistance with Matrices Please see attachment. Provide an example of a matrix that has no solution. Use row operations to show why it has no unique solution. Also, some matrices have more than one solution (in fact, an infinite number of solutions) because the system is undetermined. (In other words, there are not enough co

Augmented Matrix

The augmented matrix of a linear system has been reduced by row operations to the form shown. explain step by step no matter how small the detail In each case, continue the appropriate operations and describe the solution set of the original system. a + b - c = 7, a - b + c = 5, 3a + b - c = -1

Matrices and Systems of Equations

A group of students decides to sell pizzas to help raise money for their senior class trip. They sold pepperoni for $12, sausage for $10, and cheese for $8. At the end of their sales the class sold a total of 600 pizzas and made $5900. The students sold 175 more cheese pizzas than sausage pizzas. Set up a system of three equatio