Question

Show that the functions = + + , = + + , = + +
and are dependent.

Answer 1

If we can find constants c1 , c2 , …, cn with at least two non-zero so that (2) is true for all x then we call the functions linearly dependent. If, on the other hand, the only constants that make (2) true for x are c1=0 c 1 = 0 , c2=0 c 2 = 0 , …, cn=0 c n = 0 then we call the functions linearly independent