Q.

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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a

23

b

26

c

29

d

18

answer is D.

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Detailed Solution

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)=26
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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