1.3 R" as an inner product space 23
It is easy to see that both ‘ {100 and - 1 are norms in R”. We ask
the reader to show this in Exercise 4 below.
Example 1.3.9. For any at E R”, g S
Solution. For each i = 1, we have
ler : Mm? s «at? + +20%, 2 Hall
Henc