Eigenvalue Question

Question

Eigenvalue Question

Vocaloid · Answer

attachment

Vocaloid · Answer

@sillybilly123 I'm not really sure how to visualize this geometrically

sillybilly123 · Answer

the e-vectors are in the link below, and only the first one makes any sense: https://www.wolframalpha.com/input/?i=eigenvalues+((-4,-4,-4),(0,0,0),(0,0,0)) so it is a number line.

Vocaloid · Answer

that's not working for me :S

sillybilly123 · Answer

|dw:1509934700234:dw|

Vocaloid · Answer

doesn't this also have 0 as an eigenvalue though

sillybilly123 · Answer

Mmmm !  nicely put

sillybilly123 · Answer

let me think for a mo

sillybilly123 · Answer

mmm, one **real** e-value was the thing i bought into

sillybilly123 · Answer

Duh :(

$ \begin{bmatrix} -4&0&0\0&-4&0\0&0&-4\end{bmatrix} $

sillybilly123 · Answer

too simplistic?!

Vocaloid · Answer

that was my first guess but that doesn't make the eigenspace of -4 a line :S

Vocaloid · Answer

I emailed my prof, I still have a few days to finish this ^^"

sillybilly123 · Answer

what's an eigenspace in this example?!

Vocaloid · Answer

after you take A - lambda*I, row-reduce this new matrix and calculate the solutions in parametric vector form

Vocaloid · Answer

the eigenspace is the solution set of that matrix

Vocaloid · Answer

if that helps at all ;;

sillybilly123 · Answer

nah, but if you have the luxury of SMS w/prof, that is great.  Post the result. S'il te plait.

Vocaloid · Answer

oh sorry I was working on other hw

it's like 11pm here  but I'll be in this class tomorrow morning

Vocaloid · Answer

thank you for your time ^^