Inversion Theory
1. Linear dependence
Prove that any 4 vectors (a,b,c,d) in three-dimensional Euclidean space are linearly dependent.
2. Normed linear spaces
A normed linear space can be made a metric space if we introduce a metric by
the formula:
(f; g) = kf gk
where (f; g) is the distance between f and g.
Prove: Expression (f; g) has all properties of the metric, according to the de finition of the metric space
DETAILED ASSIGNMENT
