# E^At problem

1. Mar 30, 2008

### jahandideh

e^At problem!!

1. The problem statement, all variables and given/known data[/b]

Hi
for given 4 by 4 matrix, say A, find the e$$^{At}$$
which t is time variable.

2. Relevant equations

$$A= {\left(\begin{array}{cccc} 0 & a & 0 & 0 \\ -a& 0 & 0 & 0\\ 0 & 0 & 0 & a\\0 & 0 & -a & 0 \end{array}\right)t}Y(0)$$.

3. The attempt at a solution

Last edited by a moderator: Mar 30, 2008
2. Mar 30, 2008

### sutupidmath

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3. Mar 30, 2008

### HallsofIvy

Staff Emeritus
The Latex should be

$$A= {\left(\begin{array}{cccc} 0 & a & 0 & 0 \\ -a& 0 & 0 & 0\\ 0 & 0 & 0 & a\\0 & 0 & -a & 0 \end{array}\right)t}Y(0)$$
You forgot the ending "[ / tex ]" and, the reason it didn't show up right when I edited your post and in sutupidmath's post is because you also have "{cc}" rather than the "{cccc}" you need for 4 columns.

$$\left(\begin{array}{cc}A & 0 \\ 0 & A\end{array}\right)$$
$$A= \left(\begin{array}{cc}0 & a \\ -a & 0\end{array}\right)$$