Consider a cipher that uses a 16 bit key and 16 bit blocks. Let A and B both be permutations matrices used in the cipher, assuming that A and B are expressed in a similar manner to how IP is expressed in DES. Let C be a matrix that represents the equivalent permutation to applying A, followed by applying B. (Thus, C(x) = B(A(x)), where x is a 16 bit input.) Determine C given the matrices A and B below:

16 13 10 5 7 4 1 12 2 11 149 15 8 6 3 3 7 12 9 11 14 6 1 15 16 10 13