can you please solve this now i provided you the whole question now as this question should be solved according to my registration number which is SP19-BCS-030 but i corrected the values myself too you can see it according to yourself too

1. Question Let A be a matrix given by where a, he. dare respectively the digits of your registration number SP/FA 1a - 3C5 - bed. ***For example, if your registration number is SP19-BCS-137, in that casea = 9, b = '1 c = 3, d =I and accordingly the matrix Awill be 6 092 O [1031] one First of all write the expression of A corresponding to your registration number. Then answer part 1- 17 Give all minors of A. Give all co-factors of A. What is the determinant of (-7A). Find adj(A). Write down the characteristic equation of A. Is A singular? Find All by using the Cayley-Hamilton's theorem. Find eigenvalues of A. PFF'P'i-'PNE' Write down the eigenvectors corresponding to each eigenvalue. H P Give the eigen-space and eigenvectors corresponding to each eigenvalue A. H l\" Is A diagonalizable? H M . If your answer to part 11 is Yes, then nd the non-singular matrix P and diagonal matrix D. 13. Find the null space of A, and hence the nullity. 14. Does the set of all eigenvectors obtained in part 10 span R3? 15. Do the columns of matrix A form an orthogonal basis for R3? 16. If your answer to part 15 is NO? then orthonormalize it using the Gram-Schmidt process. 1?. Find norm of A w.r.t. standard inner product on M33. 18. Find the orthogonal projection of u - (a, b, c) onto v - (c. d, b) (where a. b , c, d coming from your registration number, as explained earlier) 19. Find distance and angle between vectors u and v. in part 13. 20. Verify Cauchy-Schwarz's inequality for u and v. in part 18