河南城建学院学报
河南城建學院學報
하남성건학원학보
JOURNAL OF PINGDINGSHAN INSTITUTE OF TECHNOLOGY
2011年
6期
52-54
,共3页
贾书伟%何承源%王应选%于海平
賈書偉%何承源%王應選%于海平
가서위%하승원%왕응선%우해평
矩阵%行列对称矩阵%K-行正交矩阵%可交换性
矩陣%行列對稱矩陣%K-行正交矩陣%可交換性
구진%행렬대칭구진%K-행정교구진%가교환성
matrix%ranks of symmetric matrix%K-row orthogonal matrix%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.
給齣K-行正交矩陣的概唸,併討論K-行正交矩陣的行列式、可逆性、可交換性等問題,得齣:K-行正交矩陣是行列對稱矩陣;若榦箇K-行正交矩陣之和與其行轉置矩陣可交換,若榦箇K-行正交矩陣之和與其列轉置矩陣也可交換;若榦箇K-行正交矩陣之差與其行轉置矩陣可交換,若榦箇K-行正交矩陣之差與其列轉置矩陣也可交換等結論.
급출K-행정교구진적개념,병토론K-행정교구진적행렬식、가역성、가교환성등문제,득출:K-행정교구진시행렬대칭구진;약간개K-행정교구진지화여기행전치구진가교환,약간개K-행정교구진지화여기렬전치구진야가교환;약간개K-행정교구진지차여기행전치구진가교환,약간개K-행정교구진지차여기렬전치구진야가교환등결론.
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.