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प्रश्न
If A = `[(0, 1),(0, 0)]`, then A2023 is equal to ______.
विकल्प
`[(0, 1),(0, 0)]`
`[(0, 2023),(0, 0)]`
`[(0, 0),(0, 0)]`
`[(2023, 0),(0, 2023)]`
उत्तर
If A = `[(0, 1),(0, 0)]`, then A2023 is equal to `underlinebb([(0, 0),(0, 0)])`.
Explanation:
Given:
A = `[(0, 1),(0, 0)]`
A2 = A.A
= `[(0, 1),(0, 0)][(0, 1),(0, 0)]`
= `[(0, 0),(0, 0)]`
A3 = A2.A
= `[(0, 0),(0, 0)][(0, 1),(0, 0)]`
= `[(0, 0),(0, 0)]`
Similarly, A2023 = `[(0, 0),(0, 0)]`
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