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MHT CET 2023 Mathematics question

MathematicsMatricesMHT CET 2023

Let . If , then the sum of all elements of the matrix B is

Answer: (D)

Solution

By the binomial theorem, where (here \"1\" stands for the identity matrix ). For , (swap the diagonal entries and change the sign of the off-diagonal entries), so

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Question ID VK-098366