1. The problem statement, all variables and given/known data Prove that ([tex]\sum[/tex]ajbj)2[tex]\leq[/tex][tex]\sum[/tex]jaj2*[tex]\sum[/tex](bj)2/j with j from 1 to n. for all real numbers a1...an and b1...bn 2. Relevant equations 3. The attempt at a solution I can prove this using algebra, but how is it done using inner product concepts? If someone could start me up with a hint, I could get somewhere. Thank you! Note: It is apparant that those sums could possibly be inner products of vectors, but I can't see how going into inner product notation would help me out.