Subject:

Comments:
: If somebody would please let me know if I'm on the right track, I would be much obliged. Thanks. : ****QUESTION************************** : Determine the linear independency or dependency given the 3 functions: : F1(t) = 1 : F2(t) = sin(t) : F3(t) = cos(t) : : ***** (PROPOSED) SOLUTION************* : Determine whether a(1) + b(sin(t)) + c(cos(t)) = 0, for a = b = c = 0 (linear independency). : Let t = 0. Therefore: : a(1) + b(sin(0)) + c(cos(0)) = 0 : a(1) + b(0) + c(1) = 0 : Let a = 1, b = 0, and c = -1. : (1)(1) + (0)(0) + (-1)(1) = 0 : 1 + 0 + -1 = 0 : Since not all a, b, and c are equal to 0, the functions are linearly dependent. : : So, what say you? Is this the right way to go about doing this?

Optional Link URL:
Link Title:
Optional Image URL: