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प्रश्न
If A = `[(3, 1),(1, 5)]` and B = `[(1, 2),(5, -2)]`, then verify |AB| = |A||B|
उत्तर
AB = `[(3, 1),(1, 5)] [(1, 2),(5, -2)]`
= `[(3 + 5, 6 - 2),(1 + 25, 2 - 10)]`
= `[(8, 4),(26, -8)]`
∴ AB = `|(8, 4),(26, 8)|`
= – 64 – 104
= – 168
|A| = `|(3, 1),(1, 5)|`
= 15 – 1
= 14
|B| = `|(1, 2),(5, -2)|`
= – 2 – 10
= – 12
∴ |A| |B| = 14(– 12) = – 168
∴ |AB| = |A| |B|
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