Q.No.1   Suppose the demand and supply functions are as follow                 (8)   Qd1= ao+a1P1+a2P2 Qs1= bo+b1P1+b2P2   Qd2= αo+α1P1+α2P2 QS2=β0+β1P1+β2P2     Write out the coefficient matrix, variable matrix and constant matrix. Find P*1, P*2, Q*1  and Q*2 by Cramer’s rule.

Q: An industrial system has two industries with the input requirements below.(a) To produce $1.00 worth…

A:

Q: 4. Suppose that xa is an approximate solution to the system of Ax = b. Let A, and I are nonsingular…

A: Sol

Q: In linear regression problem, suppose we have the data matrix X ERN x (d + 1), the model coefficient…

A: The equation is as: YN×1=XN×d+1wd+1×1+eN×1

Q: To study the changes in boundary temperatures on a steel plate, lets assume that 1, 12. 13, 14 be…

A: a) From given,                    T1 = 0+20+T2+T44T2 = T1+20+40+T34T3 = T2+40+20+T44and  T4 =…

Q: 2. Consider the tournament whose adjacency matrix is 0- 1 1 1 1 0 1 1 0 0 0 0 0 1 0 0 1 1 1 0 0 1 T…

A:

Q: 8. The matrix difference equation p(t + 1) = Mp(t), t = 0, 1,2,.. with the column vector (vector of…

A:

Q: Consider the linear system of its matrix form Ax = b with 1 0 1 2 1 X2 1 2 2 1 A = 3 and x = 4 X3 1…

A:

Q: You are conducting a test of the claim that the row variable and the column variable are dependent…

A: The given claim of the test is that the row variable and the column variable are dependent.

Q: Еxercise 4 : Let the following homogeneous linear system dr dt = x – y + 3z (c) 4 = 2y – 2z 器= 32 ai…

A:

Q: The following are the demand and supply functions for three competing mobile phone models of…

A: Given - The following are the demand and supply functions for three competing mobile phone models of…

Q: 4. Find the standard matrix for T where Ta2) =(2x,+x -2,).

A:

Q: Draw the graphs from the given adjacency matrix: a. 1 0 0 0 1 1 1 b. 1 2 2 0 2 1 0 2 C. 0 1 2 | 1 2…

A: Concept: The adjacency matrix: The adjacency matrix, which is also known as the connection matrix,…

Q: A herd of American buffalo (bison) can be modeled by a stage matrix similar to that for the spotted…

A:

Q: [1 2 2 3 1 0 1 1 4 4

A: Given matrix is  123101144find LU factorization of a given matrix

Q: Maximize : 3x1 + x2 - X3 s.t. 2x1 + x2 + x3 < 8 4x, +x2 - x3 S 10 X1, X2, X: X2 X3 S2 rhs 1/2 2 1 1…

A: First we shall find the dual of this LPP using the knowledge of duality theory and then we shall…

Q: [2ß ß Find all the values of the parameter ß for which the matrix is 3 5B] Consider invertible.

A: The matrix is given as , A=2ββ35β find all values of β for which the matrix is invertible.

Q: You are conducting a test of the claim that the row variable and the column variable are dependent…

A:

Q: You are conducting a test of the claim that the row variable and the column variable are dependent…

A: Here the given observed table first,   Observed frequency     X Y Z R.total A 27 27 41 95 B…

Q: Suppose the population of a particular endangered bird changes on a yearly basis as a discrete…

A: Given: Initial counting: x0=6030 Yearly transition matrix: A=01.25s0.5 As 0≤s≤1   To find: Which…

Q: 10. Consider the linear regression model with assumptions (i) to (iii) and (iv*) with V = k? I, + V1…

A:

Q: Given the boundary value problem, y" = e* , for 0<x<1, with the boundary conditions, y(0) =0 and…

A: Use the following finite difference approximations for the derivatives to apply the finite…

Q: You are conducting a test of the claim that the row variable and the column variable are dependent…

A: Dear student as per guidelines we answer the first three subparts only. Solution To find test…

Q: A firm produces twogoods in pure competition and has the following total revenue andtotal cost…

A:

Q: Find the production schedule for the technology matrix and demand vector given below:   A=   0.1…

A:

Q: 2 4 8 Suppose that A = LDU = 039 , then the matrix U is 0 0 7 equal to: 2 00 0 3 0 0 0 7 1 2 4 0 1 3…

A: Given:Suppose A=LDU=248039007To find : Matrix U

Q: Q4 For simple linear regression models Y = Xß+e and JY = JXB+ Je show that the two models will have…

A: We have to check the effect of multiplying orthogonal matrix on the least square estimates.

Q: (b) At the beginning of 1990, the population of California was 29, 716, 000, and the population…

A: Determine the rates for the people staying and leaving for each city and substitute it in the…

Q: .2    .3    .2 .4     .1     .2 .1       .3     .2 given three industries having input…

A: The leontief’s fundamental equation is given by;

Q: Compute the matrix exponential e At for the system x' = Ax given below. x'1 = 35x1 - 34x2, x'2 =…

A:

Q: Let Q be an n x n-matrix (not necessarily symmetric) and let d< <An be the eigenvalues of the…

A: Given Q is an n×n matrix. And Q+QT is a symmetric matrix,  i.e. Q+QTT=Q+QT By definition, a matrix A…

Q: 1. Solve the initial value problem by using the fundamental matrix (using other methods are not…

A:

Q: You are conducting a test of the claim that the row variable and the column variable are dependent…

A: Given contingency table:   X Y Z Total A 48 20 63 131 B 38 33 21 92 Total 86 53 84 223

Q: Use a matrix method to find the equilibrium prices and quantities where the supply and demand…

A: It is given that,

Q: The following are the demand and supply functions for three competing mobile phone models of…

A: To bring the supply and demand levels into equilibrium equate all the demand and supply of the given…

Q: Suppose that the Leontief input-output coefficient matrix is [0.1 0.4] A = - 0-2 0-5] and the final…

A:

Q: 10. The demand and supply functions of two-commodity market model are as follows Qa=30-3P+2P₂…

A: given demand and supply  Qd1=30-3P1+2P2Qs1=-15+2P1-P2Qd2=5+P1-P2Qs2=-2+2P2 (a) derive an equilibrium…

Q: 5. Suppose that the results of a peak-hour trip generation analysis for a five-zone small urban area…

A: Given: The trip production analysis is given below as, Trip Productions: P=11,000 P=93,300 P=12,900…

Q: Find the equilibrium vector for the transition matrix below. 4 5 5 1 7 8 8 The equilibrium vector is…

A:

Q: The following linear system of equationsis given.x, yand zare unknowns. 2z + y − x = 5 2x + 3y +…

A: Given:  The linear system of equation is  2z + y − x = 5 2x + 3y + 4z= -1 −4x −  y= 11 To determine:…

Q: The size of the matrix X'Y, where X is a design matrix of size (k+1) by (k+1) and Y is the vector of…

A: The size of design matrix X is given by (k + 1) by (k + 1)  And Y is the vector of values of…

Q: if the column sums of a matrix C are all strictly less than 1, then the inverse of the matrix I-C…

A: Assume that the column sum of the matrix C is strictly less than 1. Then for sufficiently large m,…

Q: Use a matrix method to find the equilibrium prices and quantities where the supply and demand…

A:

Q: Use a matrix method to find the equilibrium prices and quantities where the supply and demand…

A:

Q: 1. Identify the two-by-two matrix with matrix elements a;j = i – j. O (1 (금) ㅇ(9) (오 ㅇ (? )

A:

Q: Find the production schedule for the technology matrix and demand vector given below: 0.4 1.7 3 A =…

A:

Q: 0.1 х1 Y1 - If P(X;) =0.4 feed to the transition channel shown beside find the joint probability 0.3…

A: Given information:   Y1 Y2 Y3 X1 0.1 0.3   X2 0.2   0.55 P(X1)=0.4

Q: Suppose that A is a 4 x 4 matrix such that det A = 10. Enter the value of det(A³).

A:

Q: You are conducting a test of the claim that the row variable and the column variable are dependent…

A: As per our guidelines we can solve first three subpart and rest can be reposted. Solution-: We find,…

Q: (b) Compute the covariance matrix of the data given by x1 = [2 1]', x2 = [3 %3D x3 = [2 3]'and x4 =…

A: To answer the given question we shall use the following formula :  Let X and Y be two random…

Q: Suppose you are using a Leslie population growth model to study a species split into two age groups…

A: