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Q.

Let A be a square matrix such that a ij ∈−1,0,1 i,j   and it has only one non-zero entry in each row as well as in each column, then

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a

A can be singular matrix

b

A must be skew symmetric

c

A must be orthogonal 

d

A must be symmetric

answer is D.

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Detailed Solution

As AA T = I n ⇒A  is orthogonal  ⇒detA≠0⇒A  is non singular.   
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