If A is a skew-symmetric matrix, then trace of A is

If $A$ is a skew-symmetric matrix, then trace of $A$ is

Solution:

Since diagonal elements of a skew-symmetric matrix are all zeros i.e. $a_{i i = 0}$ for all $i .$

$∴ tr (A) = \sum_{i = 1}^{n} a_{i i} = 0$

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