Consider the following national income model : Y = C + I + Go C = 215 + 0.59Y 4.2I = 197 + 0.22Y Where Go = 90 (i) Identify the exogenous variable/s. (ii) What is the determinant of the coefficient matrix? (iii) What is the equilibrium value of Y? (iv) What is the equilibrium

Consider the following national income model : Y = C + I + Go C = 215 + 0.59Y 4.2I = 197 + 0.22Y Where Go = 90 (i) Identify the exogenous variable/s. (ii) What is the determinant of the coefficient matrix? (iii) What is the equilibrium value of Y? (iv) What is the equilibrium

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter2: Matrices

Section2.6: More Applications Of Matrix Operations

Problem 11E

See similar textbooks

Related questions

Q: Q// Give matrix with size 3 x 3 and find determiants

A: Consider the given statement. A matrix is called a 3*3 matrix if the matrix has 3 rows and 3…

Q: Express the given system of higher-order differential equations as a matrix system in normal form.…

A: We will convert the given system to a system of first order differential equations in matrix form.

Q: 3. A team of scientists are studying two species of deer in a park who are competing for the same…

A: Given: The system, dxdt=x2.20-0.22x-2.00y dydt=y2.40-1.00x-0.20y (c.) To plot: The phase portrait…

Q: firm's total cost function is: C = 6x2 - xy + 10y2 + 30, subject to the production quota x + y = 34.…

A: The optimization problem formed is Optimze:C=6x2-xy+10y2+30subject to :x+y=34i.e; of…

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

Q: Current Attempt in Progress 1 1 1 1 0 2 2 2 Let A = 0 0 4 4 0 0 0 5 Evaluate the determinant of the…

Q: -5 2 3. Let A = -6 Classify the equilibrium point of the system x' Ax based on the position of (T.…

Q: 1.Find the determinant of the matrix. 1 -2 3 2 0 -1 - 3 1 1

A: The given matrix is : A=1-2320-1-311 We want to find determinant of A.

Q: Find the production schedule for the technology matrix and demand vector given below: 0.4 0.1 5 A =…

A: The given technology matrix is A=0.40.100.40.60.80.10.30.2 and demand vector is D=583. Let x=x1x2x3…

Q: 5. Find the general solution of the system of differential equations 2 d -2 11 7 х. dt -7 -3 Hint:…

A: We solve the given system of differential equations by finding eigenvalues and corresponding…

Q: Note: The following matrix represents the Jacobian at the equilibrium point .li ba] Use Jury…

A: Given: The matrix value is

Q: Hint: Analytical answer is required to be uploaded in Moodle 1. Consider the differential equation…

Q: 1. Country X and country Y both aspire to be the first to put an astronaut in orbit, spending Sr and…

Q: Question 2 (i) Find the determinant of the matrix 1 4 -3 6. -4 (ii) Test the constituency of the…

A: Answer(a):

Q: Find the determinant of the matrix |1 -2 0 0 4 3 5 0 0 2 7 5 0 2 4

Q: 4. (a) Use row reduction to evaluate the determinant of the matrix, 3 -1 4 -1 1 5 В 3 2 1 2 [2 1 -3…

A: To find the determinant of the matrix using row reduction. Reduce the given matrix in row echelon…

Q: Please find the problem statement attached.

A: It is known that X is a fundamental matrix for the system x’=Ax if |X|≠0 and it satisfies the…

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

Q: iven f(x,y) = 2x2 - 6xy + 9y2, and Px= 7, Py= 5 and income, I = 175.

A: Given, f(x, y)=2x2-6xy+9y2and Px=7, Py=5 and Income(I)=175

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

Q: Let X be the matrix function 0 5te e X (t) = e 0 Determine if X is a fundamental matrix for system…

Q: 3. (a) Find the determinant of the matrix A below. 1 0 -1 0 0 1 1 0 -1 A =

A: The determinant value of the matrix abcpqrmno is aqo-nr-bpo-mr+cpn-qm when expanded about the first…

Q: 3. (a) Find the determinant of the matrix A below. '1 0 -1 A =0 0 1 10 -1

A: Since you have posted a question with multiple sub-parts, I will solve the first three subparts for…

Q: 4.- Using Sarrus's rule, obtain the determinant of the given matrix. 2 -1 3 [A]: -1 %3D 2

Q: Given the system of linear equation as follows: x + y+ z = 10000 0.05x + 0.1y + 0.08z = 800 −x − y +…

Q: The bond behavior of reinforcing bars is an important determinant of strength and stability. The…

A: a. In this case Pressure is the independent variable and Ratio is the dependent variable.

Q: 14-Consider the Lie nard equation - (u-x²)x + x = 0. The Jacobian matrix for the linearized system…

Q: Number 10

A: We have to find matrix AB.

Q: Country X and country Y both aspire to be the first to put an astronaut in orbit, spending Sr and $y…

A: (a) Given the dynamical system dxdt=3.5y-3.2x+4.7---1dydt=2.4x-2.8y+5.2---2 where x and y indicate…

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: Consider the system dx(t) (:). et = Ax(t) + dt x(0) If the fundamental matrix of the system is e3t…

A: Given fundamental matrix of the system φt=e3t0te3te3t So, the complementary solution is…

Q: Q1. Find determinant of the matrix 4 -1] а) 2 2 2 0 -1 4] -1 2 b) 3 3 0 1 2 2 3 1 -1 1 -1 1 -1 1 c)…

A: According to guidelines, we solve only first 3 parts, thank you.

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: A= 1. 3 4 -1 -1 4 2 0 1 -1 2 -1 3 2

Q: Consider the nonlinear differential equation 30 x(x – y)² + y?) 2 -2 (- - y)² + y²) 1 =:A whose…

Q: You want to find the determinants of suicide rates in Turkey. To investigate the issue, you…

A: Given, Ya = β0+β1Xa+ Regional Dummies+ua

Q: In this question A is an n x n matrix. (a) State, and describe fully, a formula that allows the…

A: This given problem is related to linear algebra. Given: n × n matrix A. First, we have to find a…

Q: Why do we includé à disturbănčé těrm in à regression model? (1). Some determinants of the…

A: Given :

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 firm's total cost function is: C = 5x2 + 2xy + 3y2 + 800, subject to the production quota x + y =…

Q: Find the determinant of the elementary matrix. 0 0 1 0 1 0 1 0 0

A: The given elementary matrix is 001010100

Q: Solve the nonhomogeneous system of differential equations 8 -2 2 8 d -2 8 2 x - e 2t 16 dt 2 8 24…

Q: 1. Calculate the determinant of the matrix. -3 21 -6-12 0 21

Q: A linear time-varying system is described by the following dynamical equation, -2 0 2te2t 0 et 0 -1…

A: Given time varying system is described by the following dynamical equation: x˙=-2002te2t0et00-1x…

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: Express the system of differential equations in matrix notation x"-7x' +1'y- (tan t)x= 0 y" +2y"…

Q: Hi. I need help with part (d) and (e) The bond behavior of reinforcing bars is an important…

A: (d) The error standard deviation:The formula to estimate the standard deviation (σ) of the error (ε)…

Q: Find the production schedule for the technology matrix and demand vector given below: 0.1 0.3 0.4 A…

Question

Consider the following national income model :

Y = C + I + G_o

C = 215 + 0.59Y

4.2I = 197 + 0.22Y

Where G_o = 90

(i) Identify the exogenous variable/s.

(ii) What is the determinant of the coefficient matrix?

(iii) What is the equilibrium value of Y?

(iv) What is the equilibrium value of C?

(v) What is the equilibrium value of I?

kindly answer all, I know limits, but please.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

A firm's total cost function is: C = 5x2 + 2xy + 3y2 + 800, subject to the production quota x + y = 39. Construct the Lagrange function and solve for the equilibrium values. Calculate the total cost. a)What is the equilibrium value of λ? b)What is the optimized value of cost? c)What is the value of the determinant of the Hessian matrix?
QUESTION: A National Income Model has been presented as:Y=C+ lo+GC= a+b (Y - To)G=gYUsing Matrix Inversion Method, solve for equilibrium levels of National Income (Y), Consumption (C)and Govt. Expenditure ( G )?
A researcher has estimated the following multiple regression model to investigate the determinants of capital structure in an emerging market based on data from 2016. LEV = 1.32 – 0.10TANG - 0.28PROFIT + 0.19GROWTH + e (0.92) (0.03) (0.25) (0.04) Residual sum of squares = 200Total sum of squares = 620Number of Observations = 90Standard errors of the coefficients are given in parentheses. The variables are:LEV = Leverage (total debt to total assets).TANG = Tangibility (net fixed assets to total assets). PROFIT = Profitability (net income to total assets). GROWTH = Firm growth (Percent change in sales). e = residual Construct a 95% confidence interval for the slope coefficient for ‘TANG’ and interpret the result. The critical t value is 1.96 at the 5% significance level for a two-tailed test.
A researcher has estimated the following multiple regression model to investigate the determinants of capital structure in an emerging market based on data from 2016. LEV = 1.32 – 0.10TANG - 0.28PROFIT + 0.19GROWTH + e (0.92) (0.03) (0.25) (0.04) Residual sum of squares = 200Total sum of squares = 620Number of Observations = 90Standard errors of the coefficients are given in parentheses. The variables are:LEV = Leverage (total debt to total assets).TANG = Tangibility (net fixed assets to total assets). PROFIT = Profitability (net income to total assets). GROWTH = Firm growth (Percent change in sales). e = residual For each independent variable slope coefficient, test the null hypothesis that it is equal to zero against the alternative hypothesis that it is not equal to 0. The critical t value is 1.96 at the 5% significance level for a two-tailed test.
A researcher has estimated the following multiple regression model to investigate the determinants of capital structure in an emerging market based on data from 2016. LEV = 1.32 – 0.10TANG - 0.28PROFIT + 0.19GROWTH + e (0.92) (0.03) (0.25) (0.04) Residual sum of squares = 200Total sum of squares = 620Number of Observations = 90Standard errors of the coefficients are given in parentheses. The variables are:LEV = Leverage (total debt to total assets).TANG = Tangibility (net fixed assets to total assets). PROFIT = Profitability (net income to total assets). GROWTH = Firm growth (Percent change in sales). e = residual Construct a 95% confidence interval for the slope coefficient for ‘TANG’ and interpret the result. The critical t value is 1.96 at the 5% significance level for a two-tailed test. Test the null hypothesis that the slope coefficient for ‘GROWTH’ is less than or equal to 0.07 against the alternative that it is greater than 0.07 (i.e. <=0.07 OR >0.07). The critical t value…
A small community includes a farmer, a baker, and a grocer and has the input-output matrix D and external demand matrix E below.Solve for the output matrix X in the equation X = DX + E.
A system of ordinary differential equations has an equilibrium point at the origin with the Jacobian matrix J = [0 1][-3 0] what is the classification of the linearised system of equations at this equilibrium point? - Sink, centre, spiral source or star source?
An industrial system with three industries has the input-output matrix D and external demand matrix E below. Solve for the output matrix X in the equation X = DX + E.
Use a matrix method to find the equilibrium prices and quantities where the supply and demand functions for Good 1, Good 2 and Good 3 are as