Prove that the determinent of a skew symmetric matrix of even order remains unchanged if the same number is added to all the elements
2026-03-26 03:12:52.1774494772
Property of skew symmetric matrix
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You can consider a skew symmetric matrix of lets say order 2x2 of the elements [0,a,-a,0] and add it to k times a matrix with all terms 1..
Now generally |A+B| is not equal to |A|+|B| but this does hold good for the case stated above, so the matrix with all terms 1, of even order will be 0 giving us the same result...
You can also select a random example and try it out..