If the eigenvalue that corresponds to the 1 eigenvector for the matrix 4i C c = (-16 1 \ is λ = 4i, then which of 0 the following is a fundamental solution to the system X' = CX? 4t sin(t) et (1 4 cos(t) sin(4t) 4 cos(4t) cos(4t) -4 sin(4t ○ 4 cos(4t) sin(4t) None of the above

Q: Using the attached theorms, Solve dx/dt =10x-20y , dy/dt=8x-18y

A: solution to the given question is like this;first find eigen values and check they are real distinct…

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Q: Question 1. Let A be a 2x2 matrix with eigenvalues A₁ = 3 and A₂ = 5 and correspondin igenvectors ff…

A: Given that  A be a  2×2 matrix with eigenvalues λ1 = 3 and  λ2 = 5       and corresponding…

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A: Step 1:Step 2:Step 3:Step 4:Step 5:Step 6:

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Q: Use the eigenvalue-eigenvectors to solve the mitial value problem 5 -4 0 1 0 2 X, X(0) = 2 5

A: We will find out the required solution.

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Q: Exercise 3.9.6: Find the general solution to x = -6x1 +3x2+ cos(t), x = 2x1-7x2 +3 cos(t), a) using…

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A: Note: According to our guideline, we will answer the first three subparts of the question as the…

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A: Given that:To show that:

Q: Using the attached theorms, Solve the following parts: a) dx/dt =7x-y , dy/dt=5x+3y  b)dx/dt =-x+3y…

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Q: Let A be the matrix A = The eigenvalues of A are A = 1 and A = 2, with -2 3 eigenvectors v = H and…

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Q: ) Consider again the ODE introduced in point (a) and describing the motion of the pendulum me0=-mg…

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A: Solution:Given that, matrix  and the eigenvalue of the matrix A is 3i.

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Q: Solve the following using detailed mathematical formulas, please explain each step as you go

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