Question: Let A and B be 10 Ã 10 matrices that are partitioned into submatrices as follows: (a) If A11 is a 6 Ã 5 matrix,

Let A and B be 10 Ã— 10 matrices that are partitioned into submatrices as follows:

(a) If A11 is a 6 Ã— 5 matrix, and B11 is a k Ã— r matrix, what conditions, if any, must k and r satisfy in order to make the block multiplication of A times B possible?
(b) Assuming the block multiplication is possible, how would the (2, 2) block of the product be determined?

An A12 -1A21 A22 B B12 =1 B21 B22

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