Question bank/JEE Main/Mathematics
JEE MainMathematicsToughMatrix and determinant
An [IMAGE] matrix is formed using only 0, 1 and
-1 as its elements. Number of such matrices which are skew symmetric is
Show answer and solution
In a skew-symmetric matrix diagonal elements are filed with
entries zero. Now for each non-diagonal element [IMAGE] the element [IMAGE] will be filled automatically. Hence
number of skew symmetric matrix =[IMAGE]
entries zero. Now for each non-diagonal element [IMAGE] the element [IMAGE] will be filled automatically. Hence
number of skew symmetric matrix =[IMAGE]
Source: Grass-G / M-15 Mathematics Paper 11 Nov.docx
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