Problem 2. The matrix exponential can be dened as A2 A3 A III e I+A+2!+3!+ 0 mz my (a) Show that em\" = I + sin Era) + (1 cosj'wz Where, Elm = 9 (DZ 0 (ox and of; + (of, + m m 0 y x m=1. (b) Show that the matrix'h) has eigenvalues 0,1", and 1', where i = vl. Hint: for eigenvalues l, detOtl '\"'m) = 0. (c) Show that e9\" E 50(3). ((1) Show that the eigenvalues of em\" are 1, Big, 8K}