Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

Loser66

  • one year ago

If A is an n x n matrix function such that A and \(\frac{dA}{dt}\)are the same function, then A = c\(e^tI_n\)for some constant c. True or false? why? Please, help

  • This Question is Closed
  1. klimenkov
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    If \(A=\left(\begin{matrix}e^{t} & 2e^{t} \\ 3e^{t}& 4e^{x}\end{matrix}\right)\), what is \(\frac{dA}{dt}\)?

  2. Loser66
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    \[\frac{dA}{dt}=A ~~but~~A\neq ce^tI_n\]therefore, it's false, right?

  3. Loser66
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    @MayMay_69

  4. Loser66
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    |dw:1377646939372:dw|

  5. Loser66
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    the area of ACDE = area ABE + area BCDE = AB *EB/2 + EB*BC = 4*4\(\frac{\sqrt{3}}{2}\)+4\(\sqrt{3}\)*11

  6. Loser66
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    since AB=4 , BC=11. got it? it is = 8\(\sqrt{3}\)+44\(\sqrt{3}\)=52\(\sqrt{3}\)

  7. Loser66
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    @MayMay_69 that's yours. Take it, I am gonna delete it.

  8. Loser66
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    @oldrin.bataku am I right for my own problem?

  9. Loser66
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    I am sorry for messing up. May may asked for help but he/she has no link, I used my post to anser him/her

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

    @Loser66 @klimenkov gave a counterexample :-p

  11. Loser66
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    that means the answer is "False" right?

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

    it need not be \(A=ce^tI_n\) merely \(A=e^tB\) for constant matrix \(B\)

  13. oldrin.bataku
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    correct

  14. Loser66
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    thank you very much. @oldrin.bataku

  15. MayMay_69
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    okay thank you very very much loser

  16. Loser66
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    You got what I mean, right? @MayMay_69

  17. MayMay_69
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yes I did thank you

  18. Loser66
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    yw

  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.