A community for students.
Here's the question you clicked on:
 0 viewing
DLS
 2 years ago
Matrix help!
DLS
 2 years ago
Matrix help!

This Question is Closed

DLS
 2 years ago
Best ResponseYou've already chosen the best response.1\[If~A=\left[\begin{matrix}\alpha & 0 \\ 1 & 1\end{matrix}\right] \] \[\And~B=\left[\begin{matrix}1 & 5 \\ 0 & 1\end{matrix}\right]\] such that \[A^2=B\] Then \[\alpha=?\]

DLS
 2 years ago
Best ResponseYou've already chosen the best response.1Options: A)1 B)1 C)4 D)None of these

DLS
 2 years ago
Best ResponseYou've already chosen the best response.1\[\LARGE \left[\begin{matrix}\alpha^2 & 0 \\ \alpha+1& 1\end{matrix}\right]=\left[\begin{matrix}1 & 0 \\ 5 & 1\end{matrix}\right]\] I am getting this after equating A^2=B I am getting all the 3 options A,B,C. But it is a single choice question.

DLS
 2 years ago
Best ResponseYou've already chosen the best response.1@agent0smith @dmezzullo @electrokid

phi
 2 years ago
Best ResponseYou've already chosen the best response.1the lower left entry should be in B is 0. so you have a^2 =1 and a+1=0

phi
 2 years ago
Best ResponseYou've already chosen the best response.1are you sure about the B matrix? A*A is [ a^2 0 ] [ a+1 1 ] which cannot match B as given

phi
 2 years ago
Best ResponseYou've already chosen the best response.1which version of B is the one given? the original or the one you posted later?

agent0smith
 2 years ago
Best ResponseYou've already chosen the best response.0\[~B=\left[\begin{matrix}1 & 5 \\ 0 & 1\end{matrix}\right] \] \[\LARGE \left[\begin{matrix}\alpha^2 & 0 \\ \alpha+1& 1\end{matrix}\right]=\left[\begin{matrix}1 & 0 \\ 5 & 1\end{matrix}\right]\] which is B...

agent0smith
 2 years ago
Best ResponseYou've already chosen the best response.0so alpha^2 = 1 and alpha+1 = 5...??? that doesn't seem to work :/

phi
 2 years ago
Best ResponseYou've already chosen the best response.1as you noticed, there is no unique solution for alpha...

DLS
 2 years ago
Best ResponseYou've already chosen the best response.1A,B,C all 3 are correct but single choice ..

agent0smith
 2 years ago
Best ResponseYou've already chosen the best response.0If you're sure that second matrix is right, then there's no solution. The first matrix would give alpha is 1.

phi
 2 years ago
Best ResponseYou've already chosen the best response.1I think you should choose option D

DLS
 2 years ago
Best ResponseYou've already chosen the best response.1yes it is right : the solution says none of these since this is an absurd case :O
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.