If A =
[ 2 0 0
0 3 0
0 0 4 ],
then which of the following statements are correct?

1. Aⁿ will always be singular for any positive integer n

2. Aⁿ will always be a diagonal matrix for any positive integer n

3. Aⁿ will always be a symmetric matrix for any positive integer n

Select the correct answer using the code below:

Mathematics 2023 NDA Mathematics 2023 NDA 2023

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