Question: (a) A block matrix Is called block diagonal if A and B are square matrices, not necessarily of the same size, while the O's are

(a) A block matrix

Is called block diagonal if A and B are square matrices, not necessarily of the same size, while the O's are zero matrices of the appropriate sizes. Prove that D has an inverse if and only if both A and B do, and

(b) Find the inverse of

(a) A block matrix
Is called block diagonal if A and

by using this method.

A-1 O O B-1 2 0 2 2 0 0 2 1 0 and ,003 00 2 5/

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