P$3.($a$)$ Consider the matrix multiplication operation of two $NN$ square matrices A and $B.$ Write the General code to realize the $C=AB$ matrix operation.

$($b$)(10$ points$)$ Suppose A and $B$ are modified by adding an extra row in A and a column in $B$ where the extra row$/$column represents an arithmetic parity of row$/$column$,$ respectively.

Modified the code in part A to realize the matrix multiplication.

$($c$)(5$ points$)$ Develop an acceptance test for the matrix multiplication results.