If X(t) is a solution to X\' = AX, then Y(t) = -37 pi^e X(t) is also a solution.

Question

If X(t) is a solution to X' = AX, then Y(t) = -37 pi^e X(t) is also a solution. ALWAYS SOMETIMES NEVER (b) If A is a 2 times 2 matrix, then the system X^t = AX can have exactly five equilibria. ALWAYS SOMETIMES NEVER (c) If the eigenvalues of A are real and have the opposite sign, then there is a solution X(t) to X' = AX such that X(t) rightarrow 0, as t rightarrow infinity. ALWAYS SOMETIMES NEVER (d) If A has real eigenvalues then the system X' = AX has a straight line solution. ALWAYS SOMETIMES NEVER If A has real eigenvalues then the system X' = AX has a straight line solution. ALWAYS SOMETIMES NEVER If X(t) is a solution to the system X' = AX and X(0) = [0 0], then X(31) notequalto [20 15]. ALWAYS SOMETIMES NEVER

Explanation / Answer

a) Always

b)never

c)Always

d)Always

e)Never

In question , it has not been asked to explain detail but if asks I can explain

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