Study On The Row Orthogonal Matrix And The Row Anti-Orthogonal Matrix

Row (anti-) orthogonal matrix to the concept of travel, and discuss the determinant,reversibility, trace, elgenvalue,center symmetry problems, get the row orthogonal matrixdeterminant, inverse matrix, elgenvalues and trace. And obtained the following results: roworthogonal matrix is ranks of the symmetric matrix, which itself and its transpose rows andcolumns transposed matrix is invertible; row orthogonal matrix transpose matrix transposerows and columns transposed matrix are still orthogonal matrix row orthogonal matrix; roworthogonal matrix transpose matrix of rows equal to the inverse matrix transpose, the columnstransposed matrix of columns equal to the inverse matrix transpose; its row transpose a matrixis equal to the transposed matrix transpose row, its column transpose a matrix is equal to itstransposed matrix transpose columns; row orthogonal matrix is a centrosymmetric matrix;row orthogonal matrix transpose matrix transpose rows and columns transposed matrix and itsinverse matrix and the adjoint matrix are centrosymmetric matrix; orthogonal matrix ofseveral rows and still is the center symmetric matrix; a number of row orthogonal matrix andits transpose matrix exchangeable line, a number of row orthogonal matrix and its transposematrix columns are interchangeable; number of row difference to its line orthogonal matrixtranspose matrix commutative, number of row difference between the orthogonal matrixtranspose matrix with columns and other findings are also interchangeable.