JEE Main202126 Aug 2021Evening ShiftMathematicsMatricesActual

Let A = 1 0 0 0 1 1 1 0 0 . Then A 2025 - A 2020 is equal to

Options

AA 6 - A
BA 6
CA 5
DA 5 - A

Correct answer

A. A 6 - A

Step-by-step solution

A = 1 0 0 0 1 1 1 0 0 A 2 = 1 0 0 0 1 1 1 0 0 1 0 0 0 1 1 1 0 0 = 1 0 0 1 1 1 1 0 0 A 3 = 1 0 0 1 1 1 1 0 0 1 0 0 0 1 1 1 0 0 = 1 0 0 2 1 1 1 0 0 A 4 = 1 0 0 3 1 1 1 0 0 A n = 1 0 0 n - 1 1 1 1 0 0 A 2025 - A 2020 = 1 0 0 2024 1 1 1 0 0 - 1 0 0 2019 1 1 1 0 0 = 0 0 0 5 0 0 0 0 0 = A 6 - A

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