symmetric matrix: A(ij)=A(ji),or AT = A
skew symmetric: A(ij)= -A(ji), or AT = -A
Here, A(ij) is the element in ith row and jth column of matrix A.
AT is the transpose of matrix A.
e.g. A= [1 2 3]
[2 9 4]
[3 4 5] is symmetric.
A=[1 2 3]
[-2 9 -4]
skew symmetric: A(ij)= -A(ji), or AT = -A
Here, A(ij) is the element in ith row and jth column of matrix A.
AT is the transpose of matrix A.
e.g. A= [1 2 3]
[2 9 4]
[3 4 5] is symmetric.
A=[1 2 3]
[-2 9 -4]
[-3 4 5] is skew-symmetric.

本文介绍了矩阵的两种特殊类型:对称矩阵与反对称矩阵。对称矩阵满足A(ij)=A(ji),即其转置等于自身;而反对称矩阵则满足A(ij)=-A(ji),其转置等于自身的负数。通过具体实例,帮助读者更好地理解这两种矩阵。
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