- #1

Terrell

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## Homework Statement

By choosing the correct vector b in the Schwarz inequality, prove that (a1 + ... + an)^2 =< n(a1^2 + ... +an^2)

## Homework Equations

Schwarz inequality

## The Attempt at a Solution

since the answer key says that a1 = a2 = ... = an, i tried plugging in values, but i am not getting anywhere and i completely have no intuition of what is happening here. and while on the topic, can anyone recommend books to read - both introductory and more advanced ones about inequalities? i would like a book that gives visual and geometric intuitions. books with proofs would be nice, but it's not a priority to me just yet. thank you!