solve this Question please.

this is the mentioned HW 4 problem 3 we can solve the above questions using this

Using the results from HW Set 4 problem 3 calculate the matrices representing: (i) e2ix (ii) (eix)2 (iii) ei(x+y) Is e2ix equal to (eix)2? Is ei(x+y)=eixeiy ? The x matrix is defined by: x=(0110) (i) Prove the relation eix=Icos+ixsin where I is the 22 unit matrix. (ii) Find an analogous relation for the matrix y defined in the previous problem. (iii) Generalize your findings for all matrices of the form u=x+y with 2+2=1