Q.22 let a be an n xn invertible matrix and c be an nxn nilpotent matrix. if x = | x xi2 x21 x is a 2n x 2n matrix (each xi, being n x n) that commutes with the

Q.22 Let A be an n xn invertible matrix and C be an nxn nilpotent matrix. If X = | X Xi2 X21 X is a 2n x 2n matrix (each Xi, being n x n) that commutes with the 2n x 2n matrix B, ( A O C then (A) X1 and X22 are necessarily zero matrices (B) X12 and Xz1 are necessarily zero matrices. nstitute: te of Science Bangalorg C) X and X21 are necessarily zero matrices. (D) X12 and X22 are necessarily zero matrices. SJ8]SeA JOL 1s81 uOIssuo