K-行正交矩阵及其可交换性

K-row orthogonal matrix and its exchangeability

给出K-行正交矩阵的概念,并讨论K-行正交矩阵的行列式、可逆性、可交换性等问题,得出:K-行正交矩阵是行列对称矩阵;若干个K-行正交矩阵之和与其行转置矩阵可交换,若干个K-行正交矩阵之和与其列转置矩阵也可交换;若干个K-行正交矩阵之差与其行转置矩阵可交换,若干个K-行正交矩阵之差与其列转置矩阵也可交换等结论.

The concept of K-row orthogonal matrix is given,and the determinant,reversibility,interchangeable and other issues were discussed,the conclusions are as follows： K-row orthogonal matrix is symmetric matrix;a number of K-row orthogonal matrix and its transpose matrix exchangeable line,a number of K-row orthogonal matrix and its transpose matrix columns are interchangeable;number of K-row difference to its line orthogonal matrix transpose matrix commutative.A number of K-row differences between the orthogonal matrixes transpose matrix with columns and other findings are also interchangeable.