To state: Whether the statement is true or false: “If the critical point ( 0 , 0 ) of the linear system X ′ = A X is a saddle point and X = X ( t ) is a solution, then the lim t → ∞ X ( t ) does not exist.”

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Answer 1

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Chapter 11, Problem 5CR

To determine

To state: Whether the statement is true or false: “If the critical point (0,0) of the linear system X′=AX is a saddle point and X=X(t) is a solution, then the limt→∞X(t) does not exist.”

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Answer 2

Question

Chapter 11, Problem 5CR

To determine

To state: Whether the statement is true or false: “If the critical point (0,0) of the linear system X′=AX is a saddle point and X=X(t) is a solution, then the limt→∞X(t) does not exist.”

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Answer 3

Question

Chapter 11, Problem 5CR

To determine

To state: Whether the statement is true or false: “If the critical point (0,0) of the linear system X′=AX is a saddle point and X=X(t) is a solution, then the limt→∞X(t) does not exist.”

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Answer 4

Question

Chapter 11, Problem 5CR

To determine

To state: Whether the statement is true or false: “If the critical point (0,0) of the linear system X′=AX is a saddle point and X=X(t) is a solution, then the limt→∞X(t) does not exist.”

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Answer 5

Chapter 11, Problem 5CR

To determine

To state: Whether the statement is true or false: “If the critical point (0,0) of the linear system X′=AX is a saddle point and X=X(t) is a solution, then the limt→∞X(t) does not exist.”

Answer 6

Chapter 11, Problem 5CR

To determine

To state: Whether the statement is true or false: “If the critical point (0,0) of the linear system X′=AX is a saddle point and X=X(t) is a solution, then the limt→∞X(t) does not exist.”

Answer 7

Chapter 11, Problem 5CR

To determine

To state: Whether the statement is true or false: “If the critical point (0,0) of the linear system X′=AX is a saddle point and X=X(t) is a solution, then the limt→∞X(t) does not exist.”

Answer 8

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Answer 9

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Answer 10

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Answer 11

Ch. 11.1 - Prob. 1E Ch. 11.1 - Prob. 2E Ch. 11.1 - Prob. 3E Ch. 11.1 - Prob. 4E Ch. 11.1 - Prob. 5E Ch. 11.1 - Prob. 6E Ch. 11.1 - Prob. 7E Ch. 11.1 - Prob. 8E Ch. 11.1 - Prob. 9E Ch. 11.1 - Prob. 10E

To state: Whether the statement is true or false: “If the critical point ( 0 , 0 ) of the linear system X ′ = A X is a saddle point and X = X ( t ) is a solution, then the lim t → ∞ X ( t ) does not exist.”

Solution Summary: The author states whether the statement is true or false. A saddle point is a point for which the eigenvalues of the linear system are real and are opposite in sign.

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To state: Whether the statement is true or false: “If the critical point (0,0) of the linear system X′=AX is a saddle point and X=X(t) is a solution, then the limt→∞X(t) does not exist.”

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Chapter 11 Solutions