If A and B are partitioned into submatrices, for example, Then AB can be expressed as provided

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If A and B are partitioned into submatrices, for example,
If A and B are partitioned into submatrices, for example,
Then

Then AB can be expressed as

If A and B are partitioned into submatrices, for example,
Then

provided the sizes of the submatrices of A and B are such that the indicated operations can be performed. This method of multiplying partitioned matrices is called block multiplication. In each part, compute the product by block multiplication. Check your results by multiplying directly.

If A and B are partitioned into submatrices, for example,
Then
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