设矩阵[tex=6.214x2.786]3BT1BgBZQ5uJXxD5dg+w23rrcqKx27L2L0paZLVx73WXeIIWWUv0DsXtkZVz+pR/niymUxW6MuO9YSZQQGhJXg==[/tex],求[tex=1.214x1.214]954uF65LINdiWcjcrFsUZg==[/tex]([tex=0.571x1.0]rFc/sfAAuCOtzhevhoREeA==[/tex]为正整数)。
举一反三
- 设矩阵[tex=6.214x2.786]3BT1BgBZQ5uJXxD5dg+w23rrcqKx27L2L0paZLVx73WXeIIWWUv0DsXtkZVz+pR/niymUxW6MuO9YSZQQGhJXg==[/tex],求[tex=0.786x1.0]b4HkKtHXeHofHX/gJc8Agg==[/tex]的特征值和特征向量。
- 设矩阵[tex=6.214x2.786]3BT1BgBZQ5uJXxD5dg+w23rrcqKx27L2L0paZLVx73WXeIIWWUv0DsXtkZVz+pR/niymUxW6MuO9YSZQQGhJXg==[/tex],多项式[tex=9.929x3.357]Ee4t1Auc/obmH+L/xYVhHVUVfMH+WqiHRhb4RgrjQ04oWVbkhHMi/12w65VoLfJIhoMok6uouQu2dZgh44SRd4qAsHo2WMCMR672cHf3txZsj4leOFFcTkDQAScX5sDL[/tex], 求[tex=2.071x1.357]j/enPEW+PUh5j0fmmfjSDw==[/tex]。
- 计算下列矩阵的 [tex=0.571x1.0]rFc/sfAAuCOtzhevhoREeA==[/tex] 次幂, 其中 [tex=0.571x1.0]rFc/sfAAuCOtzhevhoREeA==[/tex] 为正整数:[tex=7.929x4.786]SG13E7iu2HdaLVWfWJMdasNcssnOsnpcSXP9pfv8ZVudX8uBxPyIW+BW1iuKqBWPQy19xF0hvC5K+ZJXm49WVAb1VZdwsjQNiE6Ohf5lij4=[/tex]
- 计算下列矩阵的 [tex=0.571x1.0]rFc/sfAAuCOtzhevhoREeA==[/tex] 次幂, 其中 [tex=0.571x1.0]rFc/sfAAuCOtzhevhoREeA==[/tex] 为正整数:[tex=8.286x3.5]QN0fTQbn6M33pU3gx/S2ssRzVqpWUEMlPB1F8em9pxPHPIIzaitaqaXj3OkAP2YhwLgtNTq7mVpRVmzCUDjgMxeK0fRBchQXdLQiPBE6zvU4+B34aF8ZRVS24QkM3V+Y[/tex]
- 设 [tex=0.571x1.0]rFc/sfAAuCOtzhevhoREeA==[/tex] 为正整数,证明:[tex=7.286x2.714]WdYFOXfG5nnGW/WgiEfXS7KSJGNH9TOu8OctQH+TBUAmN+2wRfhYp9VdsOm9mviu[/tex].