my question is that:without expanding prove that:0 99 -998-99 0 997998 -997 0=0.i.e the determinant of above matrix is zero

0    -99   998

99   0  -997

-998  997  0

add A and its transpose

we get a zero matrix......

so u get A+its transpose= 0 matrix.....

since |A|=|transpose of  A|

==>|A|=0

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