The discussion revolves around proving the Cauchy-Schwarz inequality for complex numbers, specifically focusing on the expression
The discussion is ongoing, with participants providing insights into the manipulation of the expression and clarifying terminology. There is an emphasis on simplifying the expression further and understanding the implications of the conjugate in the context of the problem.
Participants are working within the constraints of a homework assignment, which may limit the information they can share or the methods they can use. The discussion includes assumptions about the properties of inner products in complex spaces.
dispiriton said:Homework Statement
I am told to try and solve <x - ty, x - ty> where t = <x,y>/<y,y>
However, I am stuck at that equation and unable to manipulate it to get rid of the *
dispiriton said:<x - ty, x - ty> = <x,x> - <x,ty> - <ty,x> + <ty,ty>
= mod(x)^2 + mod(y)^2 (t^2) - t*<x,y> - (<x,ty>)*
Undoubtedly0 said:Greetings dispiriton! What do you mean by "the *"?