please solve complete problem. I need complete step by step solution. Book Fundamental of differential equation

011 4. Let A be the matrix | g o | 000 (a) Compute A, A?, and A*, and A" for n > 4. (b) Use vour answer in (a) to write down an expression for . () Write your answer in (b) as a 3 x 3 matrix. {d) Write down a differential equation with '* as its fundamental matrix. (e) Find the inverse of e without using row reduction. Verify that vour answer is right