Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing

This Question is Closed

DLS Group TitleBest 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 \[\alpha=?\]
 one year ago

DLS Group TitleBest ResponseYou've already chosen the best response.1
Options: A)1 B)1 C)4 D)None of these
 one year ago

DLS Group TitleBest 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.
 one year ago

DLS Group TitleBest ResponseYou've already chosen the best response.1
@agent0smith @dmezzullo @electrokid
 one year ago

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

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

DLS Group TitleBest ResponseYou've already chosen the best response.1
yes i checked twice
 one year ago

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

agent0smith Group TitleBest 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...
 one year ago

DLS Group TitleBest ResponseYou've already chosen the best response.1
later one sorry
 one year ago

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

phi Group TitleBest ResponseYou've already chosen the best response.1
as you noticed, there is no unique solution for alpha...
 one year ago

DLS Group TitleBest ResponseYou've already chosen the best response.1
A,B,C all 3 are correct but single choice ..
 one year ago

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

phi Group TitleBest ResponseYou've already chosen the best response.1
I think you should choose option D
 one year ago

DLS Group TitleBest ResponseYou've already chosen the best response.1
yes it is right : the solution says none of these since this is an absurd case :O
 one year ago
See more questions >>>
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.