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Block multiplication separates matrices into blocks (submatrices). If their shapes make

Chapter 1, Problem 1.4.46

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QUESTION:

Block multiplication separates matrices into blocks (submatrices). If their shapes make block multiplication possible, then it is allowed. Replace these xs by numbers and confirm that block multiplication succeeds. h A Bi " C D # = h AC +BDi and x x x x x x x x x x x x x x x x x x

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QUESTION:

Block multiplication separates matrices into blocks (submatrices). If their shapes make block multiplication possible, then it is allowed. Replace these xs by numbers and confirm that block multiplication succeeds. h A Bi " C D # = h AC +BDi and x x x x x x x x x x x x x x x x x x

ANSWER:

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Let us consider the following matrices:

Now,

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