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Loser66
Group Title
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
 11 months ago
 11 months ago
Loser66 Group Title
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
 11 months ago
 11 months ago

This Question is Closed

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

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

Loser66 Group TitleBest ResponseYou've already chosen the best response.2
@MayMay_69
 11 months ago

Loser66 Group TitleBest ResponseYou've already chosen the best response.2
dw:1377646939372:dw
 11 months ago

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

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

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

Loser66 Group TitleBest ResponseYou've already chosen the best response.2
@oldrin.bataku am I right for my own problem?
 11 months ago

Loser66 Group TitleBest ResponseYou've already chosen the best response.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
 11 months ago

oldrin.bataku Group TitleBest ResponseYou've already chosen the best response.1
@Loser66 @klimenkov gave a counterexample :p
 11 months ago

Loser66 Group TitleBest ResponseYou've already chosen the best response.2
that means the answer is "False" right?
 11 months ago

oldrin.bataku Group TitleBest ResponseYou've already chosen the best response.1
it need not be \(A=ce^tI_n\) merely \(A=e^tB\) for constant matrix \(B\)
 11 months ago

oldrin.bataku Group TitleBest ResponseYou've already chosen the best response.1
correct
 11 months ago

Loser66 Group TitleBest ResponseYou've already chosen the best response.2
thank you very much. @oldrin.bataku
 11 months ago

MayMay_69 Group TitleBest ResponseYou've already chosen the best response.0
okay thank you very very much loser
 11 months ago

Loser66 Group TitleBest ResponseYou've already chosen the best response.2
You got what I mean, right? @MayMay_69
 11 months ago

MayMay_69 Group TitleBest ResponseYou've already chosen the best response.0
yes I did thank you
 11 months ago
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