Question

Determine whether the given three functions are linearly dependent or linearly independent on (-infinity, infinity)
F1 (t)=e^t, f2 (t)=e^-t, f3 (t)=Cosh t.
FibonacciChick666

Answer 1

make sure you use an @ next time :)

Answer 2

but anyways, do you know about the wronskian?

Answer 3

Yes

Answer 4

ok, so now, you need to input these into that set up then find the det of the matrix

Answer 5

What about the cosh t?? I can do the wronskian for the first two.

Answer 6

it's a 3x3 matrix

Answer 7

same thing, you may need a derivative table

Answer 8

I only learned how to do 2×2 matrix.

Answer 9

oh, ok, well have you had linear alg?

Answer 10

it's the same process, but finding the det sucks

Answer 11

No. Thanks alot for your help.

Answer 12

why no?

Answer 13

ohh ok, but anyways, you can still do the problem

Answer 14

set up the 3x3 first

Answer 15

then use this to determine the determinant https://www.khanacademy.org/math/precalculus/precalc-matrices/inverting_matrices/v/finding-the-determinant-of-a-3x3-matrix-method-1