How do I work with a matrix like this?

[LaraCroft]

How do I work with a matrix like this??

Homework Statement

How do I go about solving a matrix like this:

[ 3e^4t -2e^3t ]
[ 4e^4t -5e^3t ]

Like how would I get the determinant and stuff? Do I avoid the exponent looking things, or get rid of them somehow??

Please help!

Homework Equations

The Attempt at a Solution

 

[Mark44]

Your matrix doesn't appear to be part of an equation, so there's nothing to solve. You can take the determinant of your matrix the same way you would any 2 x 2 matrix. You know how to multiply e^(at) by e^(bt), right?

 

[LaraCroft]

Your matrix doesn't appear to be part of an equation, so there's nothing to solve. You can take the determinant of your matrix the same way you would any 2 x 2 matrix. You know how to multiply e^(at) by e^(bt), right?

Actually...no..

is it exponential multiplication?

 

[Mark44]

Do you know how to multiply 2^3 by 2^4?