Consider the following in respect of a non-singular matrix M : I. |M^2|=|M|^2 II. |M|=|M^ -1 | III. |M|=|M^ T | How many of the above are correct?

NDA 2025 Mathematics question

Consider the following in respect of a non-singular matrix : I. II. III. How many of the above are correct?

Answer: (C)

I: , true. II: , which equals only when ; so it is not

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Question ID VK-030036