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Q2. Write the condition for symmetric and skew symmetric matrix.
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But the difference between them is, the symmetric matrix is equal to its transpose whereas skew-symmetric matrix is a matrix whose transpose is equal to its negative. ... If A is a symmetric matrix, then A = AT and if A is a skew-symmetric matrix then AT = – A.
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In mathematics, particularly in linear algebra, a skew-symmetric matrix is a square matrix whose transpose equals its negative. That is, it satisfies the condition In terms of the entries of the matrix, if denotes the entry in the -th row and -th column, then the skew-symmetric condition is equivalent
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