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प्रश्न
Choose the correct alternative.
If A = `[(α, 4),(4, α)]` and |A3| = 729, then α = ______.
पर्याय
±3
±4
±5
±6
उत्तर
If A = `[(α, 4),(4, α)]` and |A3| = 729, then α = ±5.
Explanation:
|A| = `[(α, 4),(4, α)]` = α2 – 16
|A|3 = 729 = 93
∴ |A| = 9
∴ α2 – 16 = 9
∴ α2 = 25
∴ α = ±5.
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