CAO Hui-qin, CAI Qian. On the Diagonalization of a Matrix and Its Polynomial[J]. Journal of Neijiang Normal University, 2016, (2): 1-3. DOI: 10.13603/j.cnki.51-1621/z.2016.02.001
Citation:
CAO Hui-qin, CAI Qian. On the Diagonalization of a Matrix and Its Polynomial[J]. Journal of Neijiang Normal University, 2016, (2): 1-3. DOI: 10.13603/j.cnki.51-1621/z.2016.02.001
CAO Hui-qin, CAI Qian. On the Diagonalization of a Matrix and Its Polynomial[J]. Journal of Neijiang Normal University, 2016, (2): 1-3. DOI: 10.13603/j.cnki.51-1621/z.2016.02.001
Citation:
CAO Hui-qin, CAI Qian. On the Diagonalization of a Matrix and Its Polynomial[J]. Journal of Neijiang Normal University, 2016, (2): 1-3. DOI: 10.13603/j.cnki.51-1621/z.2016.02.001
On the Diagonalization of a Matrix and Its Polynomial
Let B be a polynomial of the matrix A, then eigenvectors of A must be eigenvectors of B.When A is diagonalizable then B is for sure diagonalizable. But the conversa may not be necessarily true. Sufficient conditions for A being surely diagonalizable are given when B is diagonalizable.
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