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Let $A$ be the set of all 3 x 3 symmetric matrices tries
are either O or 1. The number of elements in set $A,$ is

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detailed solution

Correct option is D

X A symmetric matrix is symmetric about its diagonal

. equired number of matrices

= Number of ways of filling 6 places (3 diagonal and

three off diagonal above the diagonal with O and 1)

$= 2^{6}$

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Let A be the set of all 3 x 3 symmetric matrices tries are either O or 1. The number of elements in set A, is