Linear Algebra Problem

[rich marten]

For some reason I am getting this question wrong, can someone pls explain why ???

[mortal trench]

Your work doesn't match up to the question (e.g. the matrix of A in the screenshot isn't the same as the one in your workings, nor is your initial condition)

[rich marten]

Sorry, this is the actual question that I got incorrect corresponding to my work

@mortal trench

[mortal trench]

Think you got c and d mixed up maybe?

[rich marten]

I don’t think so, but does the overall work look correct? I think it does, and it follows from the lecture…

[mortal trench]

The overall work does look right, but remember that c is the coefficient of e^{4t} and d the coefficient of e^t in the second coordinate...

Seeing that you found c1 = 1 and c2 = 3, and putting that into here (bottom line), then comparing to the form of the values of a,b,c,d they asked for...

You get $\pmqty{-3e^{4t} + e^{t} \ 3e^{4t} + 0 e^{t}}$

[cursive spire]

@mortal trench

[mortal trench]

And compare to this

[rich marten]

So, I basically assumed the positions of c1 c2 and -c2 match the [a + b; c + d] format, is that what you are saying ? I don’t know why I didn’t see this