Math, asked by impu123, 1 year ago

theorems of symmetric and skew symmetric matrices

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Answered by GauravSaxena01
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Hello!!


In mathematics, particularly in linear algebra, a skew-symmetric (or antisymmetric or antimetric matrix is a square matrix whose transpose equals its negative; that is, it satisfies the condition

AT = −A.

In terms of the entries of the matrix, if aijdenotes the entry in the i th row and j th column; i.e., A = (aij), then the skew-symmetric condition is aji = −aij. For example, the following matrix is skew-symmetric:



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