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If A is a symmetric matrix and n ∈ N, then A^n is :

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If A is a symmetric matrix and n ∈ N, then An is : 

(a) symmetric 

(b) skew-symmetric matrix 

(c) a diagonal matrix 

(d) none of these

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1 Answer

+1 vote
by (71.8k points)
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Best answer

Correct option (a) symmetric

Explanation:

Since A is symmetric, therefore A ′ = A Now 

So, An is also a symmetric matrix.

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