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Question
If A = `[(1, 2),(2, 1)]` and B = `[(2, 1),(1, 2)]`; find (AB)B
Solution
A = `[(1, 2),(2, 1)]` and B = `[(2, 1),(1, 2)]`
AB = `[(1, 2),(2, 1)][(2, 1),(1, 2)]`
= `[(2 + 2, 1 + 4),(4 + 1, 2 + 2)]`
= `[(4, 5),(5, 4)]`
(AB)B = `[(4, 5),(5, 4)][(2, 1),(1, 2)]`
= `[(8 + 5, 4 +10),(10 + 4, 5 + 8)]`
= `[(13, 14),(14,13)]`
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