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Question
If A = `[(2, 5),(4, 3)]`, B = `[(1, -3),(2, 5)]` find AB, BA and verify AB = BA?
Solution
Given A = `[(2, 5),(4, 3)]`, B = `[(1, -3),(2, 5)]`
AB = `[(2, 5),(4, 3)] xx [(1, -3),(2, 5)]`
= `[(2 + 10, -6 + 25),(4 + 6, -12 + 15)]`
= `[(12, 19),(10, 3)]`
BA = `[(1, -3),(2, 5)] xx [(2, 5),(4, 3)]`
= `[(2 - 12, 5 - 9),(4 + 20, 10 + 15)]`
= `[(-10, -4),(24, 25)]`
AB ≠ BA
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