A community for students.
Here's the question you clicked on:
 0 viewing
liliy
 2 years ago
what is diagnolization in linear algebra?
liliy
 2 years ago
what is diagnolization in linear algebra?

This Question is Closed

TuringTest
 2 years ago
Best ResponseYou've already chosen the best response.1I'm kind of weak in this area, so I'm just going to shoot you a link http://tutorial.math.lamar.edu/Classes/LinAlg/Diagonalization.aspx I'm sure somebody can explain it in their own words though... @UnkleRhaukus @nbouscal

TuringTest
 2 years ago
Best ResponseYou've already chosen the best response.1@Callisto @Chlorophyll how are you guys with linear algebra? wanna help?

liliy
 2 years ago
Best ResponseYou've already chosen the best response.0im totally lost. fml. my final is tomoro!!

eliassaab
 2 years ago
Best ResponseYou've already chosen the best response.1Why don't you ask a specific question? Your question is too general and it takes time to answer all aspects of it.

liliy
 2 years ago
Best ResponseYou've already chosen the best response.0okay: use the diagonlization theomr to find eignevalues of A and baisis for each eignespace: A= [ 2 1 1 1 4 1 1 1 2] =[ 1 1 0 [ 3 0 0 [ 0 1 1 1 1 1 0 2 0 1 1 1 0 1 1] 0 0 3] 1 1 0]

liliy
 2 years ago
Best ResponseYou've already chosen the best response.0i dont even understand what to do here!

eliassaab
 2 years ago
Best ResponseYou've already chosen the best response.1First find \[Det( A  \lambda I) \]

liliy
 2 years ago
Best ResponseYou've already chosen the best response.0bec the 3 matrix udner it is: PD(P1)

eliassaab
 2 years ago
Best ResponseYou've already chosen the best response.1\[ Det(A\lambda I)=\lambda ^3+8 \lambda ^221 \lambda +18=(\lambda 3)^2 (2\lambda ) \] So it has 3 as a double eigenvalue and 2.

liliy
 2 years ago
Best ResponseYou've already chosen the best response.0\[\lambda^3+8\lambda^220\lambda+18\]

liliy
 2 years ago
Best ResponseYou've already chosen the best response.0dang it. how? isnt it 4 lambda 8 and 8 ?

eliassaab
 2 years ago
Best ResponseYou've already chosen the best response.1Now we have to find the eigenspace of 2 and the eigenspace of 3

eliassaab
 2 years ago
Best ResponseYou've already chosen the best response.1Find X such that AX = 2 X and Y such AY =3Y Y1={1, 0, 1} Y2={1, 1, 0} X={1, 1, 1} Y1, and Y2 is a basis for the eigenspace of 3 X is a basis for the eigensapce 2

liliy
 2 years ago
Best ResponseYou've already chosen the best response.0wooahhh. hold on. how did u do that? where are those y1 vextor from??

eliassaab
 2 years ago
Best ResponseYou've already chosen the best response.1I have to go to sleep now. Try to unersatnd how I got what I got. Bye.
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.