If A = [[1, 1], [0, 1]], then for any natural number n, Aⁿ is equal to:

If A = [[1, 1], [0, 1]], then for any natural number n, Aⁿ is equal to:

• A. [[1, 1], [0, 1]]
• B. [[n, n], [0, n]]
• C. [[1, n], [0, 1]]
• D. [[1, n²], [0, 1]]

Answer: C) [[1, n], [0, 1]]

Explanation: A² = [[1, 2], [0, 1]]. A³ = [[1, 3], [0, 1]]. By mathematical induction, the top-right element becomes n, giving Aⁿ = [[1, n], [0, 1]].