[M] 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 × 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 × 2 block matrix [Ai j], with A11 an invertible 20 × 20 matrix, A22 an invertible 30 × 30 matrix, and A12 a zero matrix. [Hint: Describe appropriate smaller systems to solve, without using any matrix inverses.]
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