Consider the linear system æ' = Aæ, where A is a real 2 x 2 matrix with constant entries and repeated eigenvalues. Use the following information to determine A: The phase plane solution trajectories have horizontal tangents on the line x2 = -8æ1 and vertical tangents on the line æ1 = 0. Also, A has a nonzero repeated eigenvalue and a21 = -5. A =

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Q: Consider the linear system æ' = Ax, where A is a real 2 x 2 matrix with constant entries and…

A: Given the linear system is x'=Ax, the 2×2matrix A has a repeated eigenvalue, the horizontal tangents…

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Q: dx = 2x + y dt K1 = K2 = dy -x dt ( = c1 + C2 et O A O B x = c ()e* + cz (",) e* X = C1 O D ||

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A: Find all of the eigenvalues of the matrix A over the indicated Zp. A=2112

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A: E-1=Span-21E3=Span5-3 let v1=-21v2=5-3

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Q: Consider the linear system æ' = Ax, where A is a real 2 x 2 matrix with constant entries and…

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Q: determine the general solution to the linear system x′= Ax for the given matrix A.

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Q: determine the general solution to the linear system x′= Ax for the given matrix A.

A: Given: A matrix, A=2-43-9-3-9443.

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A: Given- 3140 To find- Find all of the eigenvalues of the matrix A over the indicated Z5.

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A: As it is multiple question I am solving only 1st for rest kindly resubmit the question

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.