True or False? 1)_____ If an eigen value 1, has multiplicity two and there is on

Question

True or False?

1)_____ If an eigen value 1, has multiplicity two and there is only 1 eigenvetor associated with this value, a second linearly independent solution ca be found in the form X2 = Kte^(1t)

2)_____ If X1, X2, X3 are solution vetors to a homogeneous linear system of 1st-order diff.equations w constant coefficients and W (X1,X2,...Xn) 0, then the set of solution vectors form a fundamental set of solutions

4)_____ There exists a fundamental solutions for a homogeneous linear system of 1st-order diff.equations w constant coefficients.

5)_____ The Laplcae transform of any piecewise continous function will exist.

Explanation / Answer

1. T 2. T 3. T 4. T 5. F

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