Linear Independence and Spanning

[Jack Nagel]

Say that {W1, W2, W3, W4} is linearly independent in R4.

Now say I have this vector
[ 2
tan(h)
7
4sec(k)
]

and I want to find values of h and k such that it is not in the span of (W1...W4).

If I understand this correctly, it means it is impossible to find those values since they do not exist. If a set of 4 vectors in R4 are linearly independent, then they also span R4.

Am I right or way off on this?

 

[Hurkyl]

That sounds right.