LAIP5

From Example Problems
Jump to: navigation, search

Show that \langle x,y\rangle -\langle y,x\rangle =2i{\mbox{ Im }}\langle x,y\rangle

By property of Complex numbers, z-\overline {z}=2i{\mbox{ Im }}z. So this is true because \langle x,y\rangle -\langle y,x\rangle =\langle x,y\rangle -\overline {\langle x,y\rangle }


Main Page : Linear Algebra : Inner Products