高级搜索
    曹惠琴, 蔡 茜. 矩阵及其多项式的对角化[J]. 内江师范学院学报, 2016, (2): 1-3. DOI:10.13603/j.cnki.51-1621/z.2016.02.001
    引用本文: 曹惠琴, 蔡 茜. 矩阵及其多项式的对角化[J]. 内江师范学院学报, 2016, (2): 1-3.DOI:10.13603/j.cnki.51-1621/z.2016.02.001
    shu
    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
    shu

    矩阵及其多项式的对角化

    On the Diagonalization of a Matrix and Its Polynomial

      摘要
    • 摘要:设矩阵B是矩阵A的多项式,那么矩阵A的特征向量一定是矩阵B的特征向量.当矩阵A可相似于对角矩阵时,矩阵B也一定可以相似于对角矩阵.但反之未必成立.当矩阵B可相似于对角矩阵时,文中给出了矩阵A必定相似于对角矩阵的充分条件.

      Abstract: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.

      • HTML全文
    • 参考文献 (15)
    • 相关文章
    • 施引文献
    • 资源附件 (0)

    /

      返回文章
      返回
        Baidu
        map