Show that following MA models are equivalentА:Yt = et – Oet-1for et ~WN(0, 1)В:1Yt = etWN(0, 0²)for et ~A et-1If 0 = 0.5, show that only model A is invertible, and find its infinite AR-representation

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Answered: Show that following MA models are…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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Next question Show that if A is both diagonalizable and invertible, then so is A'. ..... What does it mean if A is diagonalizable? O A. If A is diagonalizable, then A = PDP - 1 for some invertible P and diagonal D. В. - 1 If A is diagonalizable, then AK =PDP¯ for some invertible P and diagonal D. %3D C. If A is diagonalizable, then A = PD for some invertible P and diagonal D. O D. If A is diagonalizable, then A must be a triangular matrix.
Asiacell 1 36 ull 46 Asiacell docs.google.com/forms Q1:* Using Green's theorem, calculate the integral The curve C is the circle 2² + y? = a² (Figure 1), traversed in the counterclockwise direction. YA Ja Figure 1. 1 Add file Q2: * Q2: solve the equation by the use of the Matrix inversion method: 2x-у-16 7x+5y=11
Exercise 2.2. Given a vector r of appropriate dimension, find the Jacobian F'(x) for each of the following functions. (a) F(x)= Ax – b, where A is an m x n matrix and b is an m-vector. (b) F(x) = (e"" (4xí + 2x3 + 4x1x2+ 6x2 + 8x1 + e#1 (4x2 + 4x1 + 2) (2x1e#3 – 2ž sin æị 2x2 aže"3 + 2x3 coS 21 (c) F(x) = ((A – x„I)¤ Ti – 1 where r e R", ẽ is the vector of first n – 1 components of x, (d) F(x) = A is an (n – 1) x (n – 1) matrix, I is the (n – 1) × (n – 1) identity matrix and r, is the last component of x.
True or False Consider the following model, Yi = β0 + β1Xi + ui,E[ui|Xi] = 0,i = 1,...,n (1)Cov(Xi,ui) = 0. (2) Cov(Yi,ui) = 0. (3) ∑ni=1 ˆuiXi = 0 (4) ∑ni=1 ˆui = 0, where ˆui = Yi − ˆβ0 − ˆβ1Xi
5
In Sl units, the position x of a spring-loaded electromagnetic valve varies over timet in the manner described by the 2nd order ODE * + ax +(B+ K)x = K The term on the RHS is designed so that, if x is disturbed from its rest position, then it automatically returns, ideally, after a short period of time with no overshoot. 1 the rest position of the system is x = When a = 1, B= 1 and K = 4' a) Suppose that this system is at rest for the period 0 < t < 3, but at t = 3 the system is disturbed. Solve the ODE 'by hand' with initial conditions x(3)= and x(3)= 2; and
Please help me the first 3 parts. Part A part B and part C. Please make sure type by computer although
a) Show that the fourth-order Runge-Kutta method, k₁ = hf (ti, wi), h k₁ k₂= hfti+ Wi + 2 2 h k3 = hfti + Wi + 2¹ 2 k4 = hf (ti + h, wi + k3), 1 W₁+1 =W₁ + (k₁ + 2k2 + 2k3+k4), when applied to the differential equation y' = Ay, can be written in the form 1 Wi+1 = = (1 + hλ + 1 (hx)² + = (ha)³ + 2/7 (hX)^) wi- Wi. 24

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Show that following MA models are equivalent A: Yt = et – Oet-1 for et ~ WN(0, 1) 1 Yt = et for et ~ WN(0, 0² ) B: et-1 If e = 0.5, show that only model A is invertible, and find its infinite AR representation