## Friday, 5 February 2016

### Inner product in $$\mathbb{C}^n$$

I received a question concerning Chapter 3 of the lecture notes where an inner product is used in $$\mathbb{C}^n$$ (instead of $$\mathbb{R}^n$$), when doing computations with complex eigenvectors. I thought that you had seen this before, but in case you haven't, please note that the standard inner product in ($$\mathbb{C}^n$$): $$\langle \textbf{x},\textbf{y}\rangle=\sum_ix_i\cdot\overline{y}_i$$