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प्रश्न
Give your own examples of matrices satisfying the following conditions:
A and B such that AB ≠ BA
उत्तर
Let A = `[(1, 2),(4, 5)]` and B = `[(3, 1),(5, 2)]`
AB = `[(1, 2),(4, 5)] [(3, 1),(5, 2)]`
=`[(3 + 10, 1 + 4),(12 + 25, 4 + 10)]`
AB = `[(13, 5),(37, 14)]` ......(1)
BA = `[(3, 1),(5, 2)] [(1, 2),(4, 5)]`
= `[(3 + 4, 6 + 5),(5 + 8, 10 + 10)]`
BA = `[(7, 11),(13, 20)]` ......(2)
From equation (1) and (2)
AB ≠ BA
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