determine-eigen-values-and-eigen-vectors-for-each-and-verify-Ax-x-A-3-2-1-2-1-2-3-2-

Question Number 183814 by ali009 last updated on 30/Dec/22

d e t e r m i n e e i g e n v a l u e s a n d e i g e n v e c t o r s f o r

e a c h λ . a n d v e r i f y A x = λ x

A = [\begin{matrix} \frac{\sqrt{3}}{2} & - \frac{1}{2} \\ \frac{1}{2} & \frac{\sqrt{3}}{2} \end{matrix}]

Answered by TheSupreme last updated on 30/Dec/22

{x}^{'} = A {x} i s a r o t a t i o n o f \frac{π}{6} r a d s c o u n t e r c l o c k w i s e

s o {t h e r e}^{'} s n o {X} s u c h α {X} = [A] {X}