Matrices with hyperbolic functions

[samjohnny]

Homework Statement

I thought it would be better to attach it.

Homework Equations

The Attempt at a Solution

So for the first part I've found that A^2=the Identity matrix, but from there I don't have much of an idea on how to substitute that into the equation for M and end up with sinh and cosh in my expression. Please help

 

[Dick]

Homework Statement

I thought it would be better to attach it.

Homework Equations

The Attempt at a Solution

So for the first part I've found that A^2=the Identity matrix, but from there I don't have much of an idea on how to substitute that into the equation for M and end up with sinh and cosh in my expression. Please help

Look up the taylor series of sinh and cosh and compare them with the infinite series you get using that A^2=I.

 

[samjohnny]

Look up the taylor series of sinh and cosh and compare them with the infinite series you get using that A^2=I.

Thanks I've got it now! :)