can-you-guy-explian-why-we-need-a-eighgen-value-eighgen-vector-and-mean-such-as-Av-v-

Question Number 206107 by MaruMaru last updated on 07/Apr/24

can you guy explian why

we need a eighgen value eighgen vector

and mean ? ?

such as A v = λ v

Commented by mr W last updated on 07/Apr/24

t h e q u e s t i o n i s t o o g e n e r a l t o a n s w e r .

j u s t l i k e w h y w e n e e d c a l c u l e s a n d

w h a t i t m e a n s .

f o r s u c h g e n e r a l q u e s t i o n s {i t}^{'} s b e t t e r

w h e n y o u c o n s u l t g o o g l e o r t h e l i k e .

Commented by MaruMaru last updated on 07/Apr/24

mmmm \dots . . o k \dots . . : (

Commented by A5T last updated on 07/Apr/24

G e n e r a l l y, a n e i g e n v e c t o r i s a v e c t o r, s a y A, w h o s e

t r a n s f o r m a t i o n o f a n o t h e r v e c t o r, s a y v, o n l y

r e s u l t s i n t h e “ {s t r e t c h i n g}^{″} o f v . T h a t i s, n o c h a n g e

i n d i r e c t i o n b u t o n l y c h a n g e i n m a g n i t u d e .

S o, t h e e q u a t i o n t h a t r e p r e s e n t s t h i s i s

A v = λ v; w h e r e λ i s a s c a l a r .

Commented by MaruMaru last updated on 07/Apr/24

t h x :)