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

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

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

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

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

agent0smith
 one year 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
 one year ago
Best ResponseYou've already chosen the best response.1I think you should choose option D

DLS
 one year 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
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