Calculating exp[iMθ] for a Matrix M

[neelakash]

Homework Statement

Given matrix M=
0 1
1 0

Find exp[iMθ] where θ is a constant.

Homework Equations

The Attempt at a Solution

Should I proceed in the following way?

cos Mθ+i sin Mθ=expansion of exp[iMθ]

Then to collect real and imaginary parts from the expansion?

 

[Mindscrape]

That sounds like a good idea.