A) Symmetric
B) Skew symmetric
C) A Diagonal matrix
D) None of these
Correct Answer: A
Solution :
Since A is symmetric, therefore\[{{A}^{T}}=A\]. Now \[{{({{A}^{n}})}^{T}}={{({{A}^{T}})}^{n}}={{(A)}^{n}}\] \[\therefore \] \[{{A}^{n}}\] is also a symmetric matrix.
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