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  1. Some editing notes:
    “… are unwieldy beasts with few, if any, practical usage” should either change usage => uses or few => little.
    “Thus, if A is an n x m matrix and B is also an n/timesm matrix …”
    “In this manner, A as expected” seems to be missing something.
    “Let A by an arbitrary n x n matrix …”, by => be.

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