y = [ 0 1] (2x2 matrix) + [-1 0] d/dx y [1] (1x2 matrix) y (0) [1] [1] %3D [2]
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Find the solution to the following
[] means its a matrix and ^ above y is
![y = [ 0 1] (2x2 matrix) +
[-1 0]
d/dx
y [1] (1x2 matrix)
y (0)
[1]
[2]
[1]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F721a10bd-7d12-48bd-92e1-259883392b92%2F47164ebe-116c-4f23-aada-0aeab122a248%2Flc02mvs_processed.png&w=3840&q=75)
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- How would you interpret the coefficient of β2 in each model? Ln(Y) = β0 + β1 Ln(X1) + β2 Ln(X2) + u, Y = β0 + β1 Ln(X1) + β2 Ln(X2) + u, Ln(Y) = β0 + β1 X1 + β2 X2 + u, Y = β0 + β1 X1 + β2 X2 + u,The function of 2 variables f(x,y) has a stationary point with a Hessian Matrix: H = [1 -2][-2 2] How would you describe this stationary point? - local minimum, local maximum, saddle point or that it cannot be determined from the Hessian Matrix?For the Attached Problem, use the method of variation of parameters (and perhaps a computer algebra system) to solve the initial value problem x’ = Ax + f(t), x(a) = xa . In each problem we provide the matrix exponential eAt as provided by a computer algebra system.
- homogenous linear de with constant coefficientsWhat is the general solution in matrix form? x(t)=You are given the following inhomogeneous system of first-order differentialequations for x(t) and y(t) in matrix form: x ̇ = 2x + y + 3 et ,y ̇ = 4x − y Write down the general solution of the original inhomogeneous system