- #1
JeeebeZ
- 40
- 1
Homework Statement
If vectors u v & w ARE linearly independent are:
a) u+v, u+w, v+w
b) u-v, u-w, v-w
The attempt at a solution
I don't really know where to start with this. It isn't homework. It is just one of the questions out of my textbook(ch 2.3 #43 linear algebra by poole 3rd ed).
So the answers are a) yes b) no. But the question says to explain why and the back of the book just says yes and no. I don't understand why either would be different.
I guessed and said the first one would be independent. But guessing doesn't really do anything in the real world. other then gives you a small percentage to be right.
Any help would be muchly appreciated