Show that if A=VDV−1 where D is a diagonal marix, then eA = VeD V−l. (Hint: Use use the pr...

Show that if A=VDV−1 where D is a diagonal marix, then eA = VeD V−l. (Hint: Use use the previous three exercises and equation (12.15)). Further, show that  e1A = Ve1D V−l and use this result to calculate eIA for the matrices in Exercises. If the Symbolic Toolbox available, check the result with expm(t*A).