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Question
If A = `[(3, 5),(4, -2)] and "B" = [(2),(4)]` , is the product AB possible ? Give a reason. If yes, find AB.
Solution
Yes, the product is possible because of
number of column in A = number of row in B
i.e., (2 x 2). (2 x 1) = (2 x 1) is the order of the matrix.
AB = `[(3, 5),(4, -2)] [(2),(4)]`
= `[(3 xx 2 + 5 xx 4),(4 xx 2 + (-2) xx 4)]`
= `[(6 + 20),(8 - 8)]`
= `[(26),(0)]`.
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