How do you multiply the matrices $((1, 2), (3, 4))$ with $((5, 6, 7), (8, 9, 10))$ ?

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Answer 1 · 2016-09-08T12:07:41

Remember that the values of the row-column of the product are equal to the sum of the first matrix's row times the second matrix's column.

$((1,2),(3,4))xx((5,6,7),(8,9,10))$

$color(white)("XXX")=((1xx5+2xx8,1xx6+2xx9,1xx7+2xx10),(3xx5+4xx8,3xx6+4xx9,3xx7+4xx10))$

$color(white)("XXX")=((21, 24,27),(47,54,61))$

How do you multiply the matrices ((1, 2), (3, 4))((1, 2), (3, 4)) with ((5, 6, 7), (8, 9, 10))((5, 6, 7), (8, 9, 10))?