A community for students.
Here's the question you clicked on:
 0 viewing
rsst123
 one year ago
**Will Medal**
rsst123
 one year ago
**Will Medal**

This Question is Closed

zzr0ck3r
 one year ago
Best ResponseYou've already chosen the best response.2do you know how to find eigen values and eigen vectors? Do you know what diagonalization is ?

zzr0ck3r
 one year ago
Best ResponseYou've already chosen the best response.2there are other ways, so I need to know what you are doing in class if not.

rsst123
 one year ago
Best ResponseYou've already chosen the best response.0yes isn't it A=SDS^1?

zzr0ck3r
 one year ago
Best ResponseYou've already chosen the best response.2Correct. But you first need to find the Eigen values and vectors so that you can construct \(S\)

rsst123
 one year ago
Best ResponseYou've already chosen the best response.0ok so after finding eigen values and vectors what would i do to find the matrix?

zzr0ck3r
 one year ago
Best ResponseYou've already chosen the best response.2Ok if we call your 2x2 matrix given above A and the matrix of eigen vectors S. Then you will find D by D = \(SAS^{1}\). Now once you have D you just take the square root of the entries (they will only be non 0 on the diagonal). You with me?

rsst123
 one year ago
Best ResponseYou've already chosen the best response.0oh ok i see, I would get a diagonal matrix and then I can just square root the diagonal is that correct?

zzr0ck3r
 one year ago
Best ResponseYou've already chosen the best response.2then \(\sqrt{A} = S^{1}\sqrt{D}S\)

amoodarya
 one year ago
Best ResponseYou've already chosen the best response.0\[\left[\begin{matrix}4 & 3 \\ 2 & 3\end{matrix}\right]=\left[\begin{matrix}1 & \frac{3}{2} \\ 1 & 1\end{matrix}\right]\times \left[\begin{matrix}1 & 0 \\ 0 & 6 \end{matrix}\right] \times \left[\begin{matrix}\frac{2}{5} & \frac{3}{5} \\ \frac{2}{5} & \frac{2}{5} \end{matrix}\right]=\\=S D S^{1}\\\sqrt{A}==S \left[\begin{matrix}\sqrt{1} & 0 \\ 0 & \sqrt{6}\end{matrix}\right] S^{1}\]
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.