Given the technology matrix A, and an external demand vector D, find the production vector X. 0.2 0.3 14,000 A = 0 0.4 15,000

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

A:

Q: If A is a square matrix such that A2 = A, then (I-A)+A is equal to (A) (В) (C) I- A (D) I+ A

A: A is a square matrix such that: A2=A Now: (I-A)3 + A=(I-A)2(I-A)+A =(I2-2AI+A2)(I-A)+A = (I-2A + A)…

Q: Construct a 2 x 3 matrix A such that the solution set of the equation Ax = 0 is a line in R3.

A: a)       Result of a system with 2×3 coefficient matrix is a line when system has one free variable.…

Q: Find the characteristic equation of the matrix: 4 C = 2 -2 2.

A: Characteristic equation of the matrix C is given by  det ( C - λI ) = 0

Q: If A is any matrix, to what is tr (AA T) equal?

A: Let A=[aij] be n X n matrix. Then  AT=[a'ij] where a'ij=aji Let C=AAT=[cij] , where

Q: Find the steady-state vector for the matrix below. 0.3 0.5 0.5 P= 0.2 0 0.2 0.5 0.5 0.3 (Type an…

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Q: Let a be a real number, and consider the matrix a 2 1 1 6 3 A =

A: Given:

Q: a. Given the internal consumption matrix A, and the external demand matrix D as follows 0.1 0.2 0.2…

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Q: 1. (a) Construct a 3 x 3 matrix A such that the solution set of the equation Ax = 0 is the line in…

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Q: Use a graphing calculator or computer to find the production matrix X, given the following…

A: Solution :  To find production Matrix

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

A: X=DX+E X-DX=E (I-D)X=E X=(I-D)^(-1)E

Q: Consider the production model x = Cx + d for an economy with two sectors and the consumption matrix…

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Q: A consumption matrix C and a demand vector d are given. In each case, find a feasible production…

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Q: E 29. A small community includes a farmer, a baker, and a grocer and 4 has the input-output matrix D…

A: Let's find.

Q: ule for the technology matrix and demand vector given below 6. D=7

A: Given, A =0.400.21.90.80.70.30.10.2 D=672 X =x1x2x3

Q: A certain business has 55% of the market and the rest of all competitors have the remaining share of…

A: Given: Share of the business = 55% =  0.55  Share of rest of the competitors = 100% - 55% = 45% =…

Q: In a multiple linear regression model with 6 explanatory variables and 20 observations, the size of…

A: We have given that  In a multiple linear regression model with 6 explanatory variables and 20…

Q: Find the production schedule for the technology matrix and demand vector given below: 0.1 0.1 3 A =…

A:

Q: If Pis the projection matrix onto the line through (C) m« (;) and then I – P projects onto the line…

A: Option B will be the right answer.

Q: A simplex matrix for a standard maximization problem is given. 5 0 0 5 0 4 24 5. -6 0 8. 0 -6 0 1 14…

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Q: . A population with two age classes has a Leslie matrix L . If the initial population vector x0,…

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Q: Find a non-zero vector V in the row space of the matrix -12 -6 0 -8 6 16 8 -12 3 V E 1/2 -1 1

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Q: Q2 / A rectangular plot of land is measured as follow using Jacobian Matrix to compute area and…

A: The given details: A rectangular plot of land is measured, Length can be divided into two parts,…

Q: The equilibrium point of æ' = Ax + b is xo =-A¯'b for any matrix A. O True O False

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Q: Given data set (-1,2), (0,1), (2,3), (3,5), what is the associated matrix A that helps finding the…

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Q: The following technology matrix for a simple economy describes the relationship of certain…

A: (a) Observe from the given technology matrix that for 1 unit of manufactured product 0.25 units of…

Q: The matrix X1 X = is called a vector.

A: We have to find

Q: If a matrix A E Mn(R) and rank(A) = n, is it true that the column vectors of A are linearly…

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Q: Find the production schedule for the technology matrix and demand vector given below: 0.2 0.6 4 A =…

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Q: Given the technology matrix A, and an external demand vector D, find the production vector X. 0.2…

A:

Q: (4) Given matrix A = ( ), and that h(T) = T² – 2T – 7, find h(T).

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Q: Construct a 95% confidence interval for the slope coefficient for ‘TANG’ and interpret the result.…

A: The coefficient of TANG is -0.10, and standard error of the coefficient for TANG is 0.03. The given…

Q: Determine whether the span of the column vectors of the given matrix A is equal to R^3. Show your…

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Q: If A is invertible matrix, then (2AT) %3D (A) 를 (4-1)" (B) 2 (A-1)" (C) 2 (A")-1 (D) 글A-1 (E) AT

A:

Q: For which values of the parameter a (if any) is the matrix invertible? Justify your answer. [1 07 а…

A: A matrix is invertible if and only if its determinant is non-zero.

Q: Determine the total demand x for industries 1, 2 and 3, given the matrix of technical coeffieicnts A…

A: We have to determine the total demand x of the industries using the matrix of technical coefficients…

Q: Find the production matrix for the following​ input-output and demand matrices using the open model.…

A: Determine the production matrix by its formula. Determine the matrices needed in the formula.…

Q: Consider the matrix A and the vectors p and q. 1 -3 9. A = -3 0 p= -6 | q = | -9 2 4

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Q: Find the production schedule for the technology matrix and demand vector given below: 0.2 A = 10.8…

A: Given that, Technology matrix isA=0.20.20.10.80.10.31.20.70.1and the demand vector isD=634881

Q: A population with three age classes has a Leslie matrix L. If the initial population vector x0,…

A:

Q: Find the production matrix for the following input-output and demand matrices using the open model.…

A:

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

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Q: 4. Find the general solution to the linear system, and then show that the row vectors of the…

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Q: Given the matrix [1 2 1 A = 2 3 −1 3 5 0 01 Determine if the matrix equation Ax=b has a solution for…

A: We use properties of solution to system of linear equation.

Q: A researcher has estimated the following multiple regression model to investigate the determinants…

A: We are given a regression line: LEV = 1.32 – 0.10*TANG - 0.28*PROFIT + 0.19*GROWTH + e,  in order to…

Q: 3) If x=[2 6 12; 15 6 3; 10 11 11, then: a) Replace the first row elements of matrix x with its…

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Q: Consider the production model x = Cx+d for an economy with two sectors, where C = The inverse matrix…

A: Given production model is x=Cx+d = 0.00.50.60.5x+4050   To Find: Inverse matrix x

Q: Given matrix A = (2 /3 |−1/5) and that h(T) = T2 − 2T − 7, find h(T).

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Q: Use the following matrix. [1 0 4* E = 5 1 0 What is the order of matrix E?

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Q: Suppose we have technology matrix A = 0.11 ГО.02 0.1 and demand vector D = [1550 0.08 3000 Then the…

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Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.