On the Relationship between the Eigenvectors of Square Matrix and Its Transpose Matrix
The relationship between the eigenvectors of the square matrix and its transpose matrix is given.On the one hand,when the square matrix is similarly diagonalizable,a method for finding the eigenvectors of the transpose matrix by using the eigenvectors of the square matrix is given.On the other hand,from the view of Jordan canonical form,the method of solving the eigenvectors of the square matrix and its transposed matrix is given.These results enrich the theory and method of eigenvalues and eigenvectors.
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