Exercise 2.4.31

Answers

Performing multiplication, we see that

[\begin{matrix} A & - B \\ B & A \end{matrix}] [\begin{matrix} x \\ y \end{matrix}] = [\begin{matrix} Ax - By \\ Bx + Ay \end{matrix}] \begin{matrix} real part \\ imaginary part \end{matrix} .

Thus, we see that complex matrix times complex vector needs $4$ real times real multiplications.

mathchakra

2021-12-06 18:11