# Homework Help: E^A matrix power series (eigen values, diagonalizable)

1. May 11, 2015

### Fellowroot

1. The problem statement, all variables and given/known data
Find an expression for e^A with the powerseries shown in the image linked

2. Relevant equations
I know you have to use eigen values and eigen vectors and a diagonal matrix

3. The attempt at a solution
What I did was just try to actually multiply out the infinite series given. I took it out to about 3 terms and said on my quiz that the rest will eventually go to zero so that this series will converge. However I got zero credit for this solution.

I know how to get eigen values, but I just need help finding out how to get Q.

Thanks.

#### Attached Files:

• ###### problem math.png
File size:
13.7 KB
Views:
104
2. May 11, 2015

### micromass

Can you find the eigenvectors? Those will typically be the columns of $Q$.