Asked by Sarah

a) Show that if A has a row of zeros and B is any matrix for which AB is defined, then AB also has a row of zeros.
Answered by Damon
Pij = term in product matrix

Pij = sum over j of Aij Bji

If Akj = 0 for some i = k and all j

Then the product row Pkj = sum over j of AkjBkj

But Akj = 0 for all j

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