Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

DLS

  • one year ago

Matrix help!

  • This Question is Closed
  1. DLS
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 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 \[\alpha=?\]

  2. DLS
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Options: A)1 B)-1 C)4 D)None of these

  3. DLS
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 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.

  4. DLS
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    @yrelhan4

  5. DLS
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    @agent0smith @dmezzullo @electrokid

  6. phi
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    the lower left entry should be in B is 0. so you have a^2 =1 and a+1=0

  7. DLS
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    no..

  8. phi
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    are you sure about the B matrix? A*A is [ a^2 0 ] [ a+1 1 ] which cannot match B as given

  9. DLS
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    yes i checked twice

  10. phi
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    which version of B is the one given? the original or the one you posted later?

  11. agent0smith
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 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...

  12. DLS
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    later one sorry

  13. agent0smith
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    so alpha^2 = 1 and alpha+1 = 5...??? that doesn't seem to work :/

  14. phi
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    as you noticed, there is no unique solution for alpha...

  15. DLS
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    A,B,C all 3 are correct but single choice .-.

  16. agent0smith
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    If you're sure that second matrix is right, then there's no solution. The first matrix would give alpha is -1.

  17. phi
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    I think you should choose option D

  18. DLS
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    yes it is right :| the solution says none of these since this is an absurd case :O

  19. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Ask a Question
Find 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
  • 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.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.