In the following exercises, the given vectors are solutions of a system of the form X’= AX. Determine if the vectors form a fundamental set at (−∞, ∞).

Solutions:

a) It is a fundamental set

b) It is a fundamental set

c) It is not a fundamental set

Transcribed Image Text:

(:)-*. *- - (- )-* 1 6t a) X1 = b) X1 = et + 6. 8 te -8 et, X2 = -(:)-(6)-(3)-().() 1 1 1 c) X, = +t 2 X2 = X3 = +t 4 %3D 4 2 4 12 (:)-*. *- - (- )-* 1 6t a) X1 = b) X1 = et + 6. 8 te -8 et, X2 = -(:)-(6)-(3)-().() 1 1 1 c) X, = +t 2 X2 = X3 = +t 4 %3D 4 2 4 12