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Let A = ⎥ ⎦ ⎤ ⎢ ⎣ ⎡ − 0 2 2 0 . If M and N are two matrices given by M = ∑ = 10 1 k k 2 A and N = ∑ = − 10 1 k 1 k 2 A then MN 2 is :

1. a non-identity symmetric matrix
2. a skew-symmetric matrix
3. neither symmetric nor skew-symmetric matrix
4. an identity matrix

Correct answer: a non-identity symmetric matrix

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