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Formula of skew symmetric

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Formula of skew symmetric
  • 1 answers

Gaurav Seth 6 years, 10 months ago

Square matrix A is said to be skew-symmetric if aij =−aji for all i and j. In other words, we can say that matrix A is said to be skew-symmetric if transpose of matrix A is equal to negative of matrix A i.e (AT =−A). Note that all the main diagonal elements in the skew-symmetric matrix are zero. Let’s take an example of a matrix

It is skew-symmetric matrix because aij =−aji for all i and j. Here, a12 = -6 and a21= -6 which means  a12= −a21. Similarly, this condition holds true for all other values of i and j.

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