NDA 2023 Mathematics question

MathematicsMatricesNDA 2023

If , then which of the following statements are correct? 1. will always be singular for any positive integer . 2. will always be a diagonal matrix for any positive integer . 3. will always be a symmetric matrix for any positive integer . Select the correct answer using the code given below :

Answer: (B)

Solution

For a diagonal matrix, . Statement 1: , so is

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Question ID VK-029660