Solution-Express system of differential equations in matrix

Express system of differential equations in matrix notation

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MATH 54 QUIZ 11-

1. Express the given system of differential equations in matrix notation.

x'₁ = -2x₂ + x₁ - 4x₃

x'₂ = 3x₃ + x₂ - x₁

x'₃ = -x₁ + 2x₃ - 3x₂

2. Find a 4 × 4 matrix A with constant coefficients such that x(t) = is a solution to x'(t) = Ax(t).

3. Show that the following collection of vector-valued functions is linearly independent on R:

4. Find a general solution of the system x'(t) = Ax(t), where A =

5. Find the solution to the system x'(t) = x(t) which satisfies x(0) =

Reference no: EM131075617

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Express system of differential equations in matrix notation

Reference no: EM131075617

Reference no: EM131075617

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