Review for midterm 2
314 Linear Algebra
3.3 Linear independence
Def.
A set of vectors ~1 , ~2 , . . . , ~n in a vector space V are linearly independent if
vv
v
c1 ~ 1 + c2 ~ 2 + + cn ~ n = ~ ,
v
v
v
0
only if all ci , i = 1, . . . , n are 0.
Def.
A set of