A community for students.
Here's the question you clicked on:
 0 viewing
Loser66
 2 years 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
Loser66
 2 years 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

klimenkov
 2 years ago
Best ResponseYou've already chosen the best response.2If \(A=\left(\begin{matrix}e^{t} & 2e^{t} \\ 3e^{t}& 4e^{x}\end{matrix}\right)\), what is \(\frac{dA}{dt}\)?

Loser66
 2 years ago
Best ResponseYou've already chosen the best response.2\[\frac{dA}{dt}=A ~~but~~A\neq ce^tI_n\]therefore, it's false, right?

Loser66
 2 years ago
Best ResponseYou've already chosen the best response.2the area of ACDE = area ABE + area BCDE = AB *EB/2 + EB*BC = 4*4\(\frac{\sqrt{3}}{2}\)+4\(\sqrt{3}\)*11

Loser66
 2 years ago
Best ResponseYou've already chosen the best response.2since AB=4 , BC=11. got it? it is = 8\(\sqrt{3}\)+44\(\sqrt{3}\)=52\(\sqrt{3}\)

Loser66
 2 years ago
Best ResponseYou've already chosen the best response.2@MayMay_69 that's yours. Take it, I am gonna delete it.

Loser66
 2 years ago
Best ResponseYou've already chosen the best response.2@oldrin.bataku am I right for my own problem?

Loser66
 2 years ago
Best ResponseYou've already chosen the best response.2I am sorry for messing up. May may asked for help but he/she has no link, I used my post to anser him/her

anonymous
 2 years ago
Best ResponseYou've already chosen the best response.0@Loser66 @klimenkov gave a counterexample :p

Loser66
 2 years ago
Best ResponseYou've already chosen the best response.2that means the answer is "False" right?

anonymous
 2 years ago
Best ResponseYou've already chosen the best response.0it need not be \(A=ce^tI_n\) merely \(A=e^tB\) for constant matrix \(B\)

Loser66
 2 years ago
Best ResponseYou've already chosen the best response.2thank you very much. @oldrin.bataku

anonymous
 2 years ago
Best ResponseYou've already chosen the best response.0okay thank you very very much loser

Loser66
 2 years ago
Best ResponseYou've already chosen the best response.2You got what I mean, right? @MayMay_69
Ask your own question
Sign UpFind 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
 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.