If A=\left[\begin{array}{ccc}0 & 3 & 4 \ -3 & 0 & 5 \ -4 & -5 & 0]\end{array}, then which one of the following statements is correct? [NDA II 2023]

Correct Answer is : A2 is symmetric matrix with det(A2)=0.

{\A}^2 is symmetric matrix with {\det} ( {\A}^2) =0.

{\A}^2 is symmetric matrix with {\det} ( {\A}^2) \neq 0.

. {\A}^2 is skew-symmetric matrix with {\det} ( {\A}^2) =0.

{\A}^2 is skew-symmetric matrix with {\det} ( {\A}^2) \neq 0.

UPSC NDA II 2023 Mathematics Solved Paper

Question : 8 of 120

Marks: +1, -0

If A=[

], then which one of the following statements is correct?

[NDA II 2023]

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