Suppose memory or size restrictions prevent a matrix

Question

Question: 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 [A_ij], with A₁₁ an invertible 20 X 20 matrix, A₂₂ an invertible 30 X 30 matrix, and A₁₂ a zero matrix.