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DLS
 3 years ago
Matrix help!
DLS
 3 years ago
Matrix help!

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DLS
 3 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
 3 years ago
Best ResponseYou've already chosen the best response.1Options: A)1 B)1 C)4 D)None of these

DLS
 3 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
 3 years ago
Best ResponseYou've already chosen the best response.1@agent0smith @dmezzullo @electrokid

phi
 3 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
 3 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
 3 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
 3 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
 3 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
 3 years ago
Best ResponseYou've already chosen the best response.1as you noticed, there is no unique solution for alpha...

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

agent0smith
 3 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
 3 years ago
Best ResponseYou've already chosen the best response.1I think you should choose option D

DLS
 3 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
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