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If A is a symmetric matrix and ninN then...

If A is a symmetric matrix and `ninN` then `A^n` is

A

symmetric matrix

B

diagonal matrix

C

skew-symmetric matrix

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Since A is symmetric matrix there `A^(T)=A`
Now `(A^(n))^(T)=(A^(T))^(n)=A^(n)`
Hence `A^(n)` is a symmetric matrix.
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