Are you able to use complementary slackness and your answer to part (a) to find solution(s)  to the primal LPP? Why or why not? answer to part (a): attached here No, it does not have an optimal solution.

Q: -2 1 -1 2. Let A -2 0 4 1 5050 96 5 4 -61-2 9 1 -9 Find the rank A and the dim Nul A.

A: (2).rank A=3 and dim Null(A)=2Explanation:

Q: 2. The position vectors of A, B and C relative to a fixed origin O are respectively, Find, ABAC

A: [2].

Q: Q- The projection of the vector (G) onto the line =2x is is (48). y=2x The point (6,7) is reflected…

A:

Q: Given the ordered basis -8 6 Α1 - B = = {A₁ A₁ = A2 = -3 7 -7 0 A3 = A4 = -8 -5 -9 2 = [ 6 0 3 [36…

A: Our coordinates of A with respect to B =[2, -1, -3, -2]'' means transpose Explanation:Step 1: Step…

Q: 4. Prove that f(x, y, z) = 2 - 1 x² + y² is continuous in all its domain.

A:

Q: Express the following as a linear combination of u (2, 1, 5), v (1,-1, 4) and w = (6, 8, 6). (9, 14,…

A:

Q: A basketball team sells tickets that cost $10, $20, or, for VIP seats, $30. The team has sold 3234…

A:

Q: 1. (RoC & IoC) Find the series' radius and interval of convergence: xn i. √n²+3 n=0 ii. iii. n=1 n!…

A: To find the radius and interval of convergence for each series, we can apply the Ratio Test for…

Q: 3. For the principal branch of the function f(z) = 21+i, evaluate the derivative at the point z =…

A:

Q: The estimated resale value R (in dollars) of a company car after t years is given by R(t) 17,453…

A: The car is depreciating at $1,280.39 per year.Explanation:

Q: Consider the matrix A=[5445]. Approximate the dominant eigenvalue by Rayleigh quotient method using…

A: The objective of this question is to approximate the dominant eigenvalue of a given matrix using the…

Q: Let G be a group of order 168 = 23 × 3 × 7. Assume that an element oforder 7 is in the normalizer of…

A: G is not a simple group.Explanation:Step 1:A group G is called a simple group if it has no proper…

Q: In Problems 1 – 26 solve the given differential equation by undetermined coefficients  y'' − y' = −3

A:

Q: (2) Consider the following LPP maximize subject to a1x1 + Y +anxn+y-t = b x1, · · ·, xn, Y, t≥ 0,…

A: subject to We have to find the dual of the problem and solve it.

Q: 3. Let V be a finite-dimensional inner product space, and suppose U is a subspace of V. Show that…

A: The solution is given below Explanation:        If you are having doubt in any step please comment…

Q: (a) an 3n+2 (n - 1)! (b) an π! Instructions for problems 2-6. Determine the con test you are…

A: (.) given series is,              (.) General Necessary condition: Let  be any series. If series  is…

Q: Use power series to solve the initial-value problem Answer: y = Σ 800 n=0 y" +3xy' +6y=0, y(0) = 0,…

A: Given differential equation is here noted that So it's power series solution is of the form now…

Q: f(n) = √√n g(n) = 101n t(n) = 10 r (n) = (logn)³ w (n) = 100 s (n) = n 10 k (n) = n(n+1) 1(n) = 2 m…

A: Here we make the inequalities chains.

Q: Solve the following by hand please, show all steps and used detailed mathematical formulas. Please…

A: The answer has been provided.Explanation:

Q: Use the information in the table to: (i) find the dimensions of the row space of A, column space of…

A: Given thatSize of A = Rank [A]= Rank [A | b] = We have to find: (i) find the dimensions of the row…

Q: Let S be the subspace of R4 spanned by 2 -2 X1 0 0 and X2 7022 . Find orthonormal bases for S and…

A: The given vectors are:.Given that  be a subspace of spanned by .We need to find the orthonormal…

Q: The three vertices of a regular tetrahedron are located at 0(0,0,0), A(0,1,0),B(,0), and CB. ABO;…

A: For a regular tetrahedron, all faces are equilateral triangles. Given that points O, A, and B lie in…

Q: For this problem you can assume all your knowledge about the set of real numbers, R. be a relation…

A:

Q: (a) {(a, b, c) ER³ | 2a = 3c}. (b) {(a, b, c) ER3 | a = 0, b = 3c}. (c) {(a+b, ab, 2a + b) | a, b R}…

A: (a), (b) , (c), (d)  are subspaces .

Q: answer these

A: The objective of this question is to find equivalent fractions using multiplication and division. In…

Q: 4. Using the inverse CDF method, find formulae for generating random variables having the following…

A: To generate random variables with the given PDFs using the inverse CDF method, we need to find the…

Q: The graph of the function f on the interval 0 ≤ x ≤ 9 consists of three line segments and the point…

A: Given, a graph of the function  on the interval .Also, given that  and It is required to find the…

Q: A linear operator Lcan be used as short hand notation for an n-order linear differential equation.…

A: The objective of the question is to identify the incorrect expression of the given linear…

Q: Let P2 be the vector space of polynomials of degree 2 or less. Consider the following two ordered…

A:

Q: Please solve all

A: (a) Converges(b) Converges© Converges(d) Inconclusive(e) Converges to e.Explanation:Step 1: Step 2:…

Q: The Metropolitan Bus Company (MBC) purchases diesel fuel from American Petroleum Supply. In addition…

A: To determine the optimal order quantity for the Metropolitan Bus Company (MBC), we can use the…

Q: work out the problems below refering to the sets:

A: H ⊆ C:  False.Ø ∈ E:  False.F ∪ D: F ∪ D = {1, 3, 5, 7, 9, 11}Cˉ: Cˉ = {1, 3, 5, 7, 9, 11, 13, 14}D…

Q: Let R be a ring. For a subset X C R, let (X) denote the ideal generated by X, i.e., the smallest…

A: I have given detailed solution below thanks Explanation:Step 1: Step 2: Step 3: Step 4:

Q: Suppose D = {(x, y) | x² +≤ 1}. Evaluate the iterated integral by converting to polar coordinates =…

A: We have to evaluate  where  using polar integration.

Q: Suppose U and W are finite-dimensional subspaces of an inner product space V. Prove that Pʊ Pw = 0…

A: Assume PUPW=0. We want to show that ⟨u,w⟩=0 for all u∈U and w∈W.Since PU and PW are projections,…

Q: Consider the coordinate vectors -91 8 6 [w]s = -3 = 2, [B]s 7 = 6 2 2 (a) Find w if S is the basis…

A: (.) Given coordinate vectors are,    (.) Coordinate vectors: Let  be a vector written as a linear…

Q: How many different bit strings of length 7 with two 1's and five O's are there?

A: Sure, here's a step-by-step approach to solving the problem of finding the number of different bit…

Q: McJesters can produce a hamburger for $2.98. If the restaurant's daily sales are increasing at a…

A: The daily cost for hamburgers is increasing by $89.40 per day.Explanation:We find out how fast the…

Q: The figure shows a telephone wire hanging between two poles at x=-30 and x = 30. The wire hangs in…

A: Here the shape of the wire is a catenary whose equation is y=c+acosh⁡(xa)The arc length of the wire…

Q: A security firm is designing an attaché case which will hold $1,000,000 in $100 bills. A packet of…

A: Given that, a quantity of 25 bills is in a packet. The attache case holds $1,000,000 in $100…

Q: Find all of the eigenvalues of the matrix A over the complex numbers C. Give bases for each of the…

A: The answer is given below.Explanation:

Q: Acav 1: Linear Programming (Minimization) A chicken farmer uses a mixture of chicken feeds,…

A: Let me show the given data in a tabulated form,  Grams per unitMixtureChicken's BestChicken's…

Q: The set B is a basis for R². Find the coordinates of the vector [Z] B 9. -10] relative to the basis…

A:

Q: Solve the initial value problem (1+z²)y" +1y = 0, y(0) = 0, y'(0) = 8. If the solution is y=co+c+cr²…

A: Question is solved below Explanation:

Q: 2 v. f(x) = x tan1 x², centred at x = 0

A:

Q: Let Ƒª³ = (3z + 3x²) i+ (4y+3z+3sin(y²)) j+ (3x+3y+4e²) k (a) Find curl F. curl F= (b) What does…

A: Given Note: According to the guidelenes we are allowed to solve three sub parts at a time. Please…

Q: 1. Use the graph to answer the following questions. y 4A D' y= g(x) 2 B C' A D. ← -4 -B 2 4 C y =…

A: Here we find two functions are same but shifting of axis.

Q: From a crushed quartz sample, the fraction less than 5mm must be removed by screening. The feed…

A: The objective of this question is to determine the efficiency of the screen used to separate the…

Q: Let U and W be arbitrary subspaces in vector space V with dimensions dim U=6 and dimW=4. Which of…

A:

Q: In Problems 1 – 26 solve the given differential equation by undetermined coefficients. y''+y=2xsinx

A: Given, a second-order linear differential equation: It is required to find the general solution of…