please help me in these. I can't solve question 8 and onwards

A = N - 1 V _ - ONN 1. Give all minors of A. 2. Give all co-factors of A. 3. What is the determinant of A. 4. Write adj(A). 5. Write down characteristic polynomial of A, and hence the characteristic equation. 6. Is A singular? If not, give A-1 using the Cayley-Hamilton's theorem. 7. Calculate all eigen values of A. 8. Write down the eigen vectors corresponding to each eigen value. 9. Give the eigen space(s) Ex = {v : Av = Av} corresponding to each eigen value 1. 10. Is A diagonalizable? Give reason whatever the case may be. 11. If your answer to part 10 is Yes? then provide explicitly the non-singular matrix P and. diagonal matrix D. 12. Find the linear transformation T corresponding to matrix A, and hence the kernel. 13. Compute the nullity of T. 14. Are the columns of matrix P found in part 11 linearly independent? 15. Do columns of P span R3? 16. Do columns of A form an orthogonal basis for R3? 17. If your answer to part 16 is NO? then orthonormalize using Gram-Schmidt process. 18. Find norm of A w.r.t. standard inner product on M33. 19. Find the orthogonal projection of (a, b, c) onto (c, c, b). 20. Find distance between (a, b, c) and (c, c, b). 21. Verify Cauchy-Schwarz's inequality for p(x) = ax? + br + c and q(x) = cr? +cr + b w.t.i standard inner product on P2. 22. Find the angle between p(x) = ax? + br + c and q(x) = cr? + cr + b w.r.t. standard inner product on C[0, 1]