Suppose memory or size restrictions prevent your matrix program from working with matrices having more than 32 rows and 32 columns, and suppose some project involves 50 × 50 matrices A and B. Describe the commands or operations of your 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 × 2 block matrix [4_¡j],
with A₁₁ an invertible 20 x 20 matrix, A₂₂ an invertible 30 x 30 matrix, and A₁₂ a zero matrix.