1.0 0.5 -1.0 -0.5 -0.5 the given figure is a phase portrait for a system x' Ах, (a) The eigenvalues of A could be (circle one) i. A1 = 1, X2 = 2 ii. λ1 1, λ-2 iii. A1 = -1, A2 = 2 |3| iv. A1,2 = 1+i v. A1,2 = –1± i (b) If possible, give one eigenvector of A (if it is not possible, write "N/A")): Answer:

Q: (c) x': ·(3 = 2₂). x, x(0) = [1,0]T 9 5 -6 -2

A:

Q: (a) Find all eigenvalues of A. (b) Show that 7 = 0 is the only equilibrium solution of the system.…

A:

Q: Find eigenvalues of characteristic equation 2 3 |-6 3.

A:

Q: X (0) = X. dx dt = 3 1 X

A:

Q: The eigenvalues of the system (+1"+2-4y = 0 are O A. A =-3 and = 4 %3D O B. x = -i and x = i O C. A1…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Find geometric multiplicity of the only eigenvalue 2 = 0. Y(1)= Submit the Answer 3 Question 3…

A: Use the formula of geometric multiplicity of eigenvalues.

Q: Match each linear system with one of the phase plane direction fields. (The blue lines are the arrow…

A: The phase plane is the graphical representation of all the solution curves of a system of…

Q: 2 i ^-(²₂4) A = i 2

A:

Q: Using Eigenvalues and Eigen Vectors shve Cthe System: *C) =4メ+ y'4) =-2x *24 A=

A: Use the given matrix.

Q: A system of coupled ODEs, where x = x(t), are expressed in the matrix form = 7 x' = (-1034)x where x…

A: note : Since you have posted question with multiple sub parts, we will provide the solution only to…

Q: The characteristic equation is. The eigenvalues are l if A= 1 |-2 |-2 4 a.λ-1,λ = 2,λ 3 O A = - 1,1=…

A: We can calculate eigenvalues By |A-λI|=0

Q: 4. let A be a 4 x 4 matrix with eigenvalues 2 and -2 Find Rank(A), Nullity(A), Tr(A), det(A). www…

A: We have to find the Rank(A),Nulity(A),Tr(A),det(A)

Q: Let x (t) = = x"(t) x' (t) If x (0) 21(t) = = = x₂(t) = sin( 9 [] -11 -21 Put the eigenvalues in…

A: Rewrite the system of first order differential equations.

Q: Consider the initial value problem Find the eigenvalue X, an eigenvector ₁, and a generalized…

A: According to the given data, find the following:

Q: a) please I did get eigenvalues 2 +/- 2i and the corresponding eigenvectors but I don't understand…

A: Here A= 1-513,Auxiliary equation: (1-λ)(3-λ)+5=0λ2-4λ+8=0λ=4±16-322=2±2i.Corresponding eigen vectors…

Q: A linear system x = Ax with state variables x₁(t) and a₂(t) is defined by the equations: *1 = 3x1…

A:

Q: 2 2 -6 8. The general solution of x' = x is: (Hint: 6 is an eigenvalue.) 2 -1 -3 -2 - 1 -2 3 1 (a) x…

A:

Q: None

A: To find the eigenvalues and eigenfunctions for the differential equation:y'' - 2y' + (1 + lambda)y =…

Q: Let A=-3 A has eigenvalues d4=-8, 12= 2 with -3 Lorresponding cigenvector Vq = and Vz= 1. Draw a…

A:

Q: 3. dx/dt = x + y², dy/dt = x + 2y Transcribed Image Text: 3-dx/dt = x+y², dy/dt = x + 2y (a)…

A: Given, the system of differential equation is dxdt = x + y2dydt = x + 2y Let fx, y = x + y2gx, y = x…