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What can you say about determinant of a Skew Symmetric matrix of odd order? Is it Zero? Why?

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Dr. Mathaholic

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Sat, 05 Dec 2020 00:00:00 GMT
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In this video we will talk about determinant of a skew symmetric matrix of odd order. We will prove that : If A is a square matrix of order n such that A is skew symmetric then determinant is always zero. Note that this is true only for odd order, if order of matrix is even then you cannot say anything about the determinant of skew symmetric matrix.

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