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What does this mean?

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$$\begin{pmatrix} 1\\ 1 \end{pmatrix}$$working on another problem,don't know what does this stand for?or just tell me what is that.Thanks in advance.

May 18, 2018
edited by Guest  May 18, 2018

#1
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It is 1 C 1

It means how many ways can you choose one thing from one.

May 18, 2018
#2
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it could also be a vector.

It depends on the context.

May 18, 2018
#3
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I guess this stand for a vector.The problem I am doing is find the general solution to the system of equations.

dx/dt=x+2y

dy/dt=y+2x

It was a multiple choice question,and one of the anwsers is

$$X=c1*\begin{pmatrix} 1\\ -1 \end{pmatrix}{e}^{3t}+c2\begin{pmatrix} -1\\ 3 \end{pmatrix}{e}^{-t}$$

What do you think is it now?

(You dont have to help me solve the system of equations.It is one of my exam problem.(You can do it after I get the anwser if you want.))

May 18, 2018
#4
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Well it is a vector, more than that I do not know.

Heureka and Alan are probably your best bets.

May 18, 2018
#5
+2

X is simply a vector whose first component is x and second component is y. The answer given means

x = c1*e3t - c2*e-t and y = -c1*e3t + 3c2*e-t

(Incidentally, it is the wrong answer!)

.

May 18, 2018