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What is the difference between symmetric and skew-symmetric matrices?


Ravindra Pindel 13th Jul, 2020
Answer (1)
Ravindra Pindel 13th Jul, 2020

A square matrix A is said to be symmetric if aij = aji for all i and j, where aij is an element present at (i,j)th position (ith row and jth column in matrix A) and aji is an element present at (j,i)th position (jth row and ith column in matrix A) whereas 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 the transpose of matrix A is equal to the negative of matrix A i.e (AT =−A)

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