Question: a. Verify that the function ||||1, defined on Rn by is a norm on Rn. b. Find ||x||1 for the vectors given in Exercise 1.

a. Verify that the function ||·||1, defined on Rn by
Ixli -Σsi.

is a norm on Rn.
b. Find ||x||1 for the vectors given in Exercise 1.
c. Prove that for all x ˆˆ Rn, ||x||1 ‰¥ ||x||2.

Ixli -si.

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