Please provide a detailed explanation when solving this problem using matrices. Thank you so much.

Conjecture Consider matrices of the form 0 0 O O a1 1 0 0 azz 0 a33 . . . OC ... O A = . . . . . . O ... 0 O C . ann (a) Write a 2 x 2 matrix and a 3 x 3 matrix in the form of A. Find the inverse of each. (b) Use the result of part (a) to make a conjecture about the inverses of matrices in the form of A