Suppose memory or size restrictions prevent a matrix program from working with matrices having more than 32 rows and 32 columns, and suppose some project involves 50 X 50 matrices A and B. Describe the commands or operations of the matrix program that accomplish the following tasks.
a. Compute A + B.
b. Compute AB
c. Solve Ax = b for some vector b in R50, assuming that A can be partitioned into a 2 X 2 block matrix [Aij], with A11 an invertible 20 X 20 matrix, A22 an invertible 30 X 30 matrix, and A12 a zero matrix.