设 3 阶方阵 [tex=0.786x1.0]b4HkKtHXeHofHX/gJc8Agg==[/tex] 的特征值为 [tex=3.214x1.214]AR2NZJX7MZs0NlT/FTXA5A==[/tex]，[tex=5.143x1.357]w/FJJFlwDcaju97v34LrN7GPRQ7jt3za1NBQzRFsFmE=[/tex]，求 [tex=2.357x1.0]NovbxKl63Ey/milqTcbe/0+weZrZwV0IV2WDP9e/d4g=[/tex] 及 [tex=4.857x1.357]NovbxKl63Ey/milqTcbe/0yYXMkXxzvjjVJ6MtqOGN0=[/tex] .
举一反三
- 已知三阶矩阵 [tex=0.786x1.0]b4HkKtHXeHofHX/gJc8Agg==[/tex] 的特征值为 [tex=3.214x1.214]CeCCacbqzMRoulxZRT9zdQ==[/tex] , 矩阵 [tex=4.714x1.357]AtrTkQ0sXVgESO4VOCLAaw==[/tex]。试求 [tex=0.786x1.0]sHo1pKm+gjxjcUAJjHrarQ==[/tex]的特征值和 [tex=2.357x1.0]NovbxKl63Ey/milqTcbe/0+weZrZwV0IV2WDP9e/d4g=[/tex] 。
- 已知三阶矩阵[tex=0.786x1.0]b4HkKtHXeHofHX/gJc8Agg==[/tex]的特征值为[tex=3.214x1.214]AR2NZJX7MZs0NlT/FTXA5A==[/tex], 又矩阵[tex=5.143x1.357]w/FJJFlwDcaju97v34LrN7GPRQ7jt3za1NBQzRFsFmE=[/tex], 求[tex=0.786x1.0]sHo1pKm+gjxjcUAJjHrarQ==[/tex]的特征值.
- 设 [tex=2.0x1.214]vnzjVhyzo/NIhVUgFyjLlA==[/tex]是 [tex=0.643x0.786]/he/ol8BkDuTTL9yMPtH4Q==[/tex]阶方阵，且[tex=4.786x1.357]NovbxKl63Ey/milqTcbe/97kbYTtc4UaxxIL7xWZDcw=[/tex]与[tex=4.786x1.357]NovbxKl63Ey/milqTcbe/3OmajAGB5SKGaQYfWvAnNY=[/tex]相似，求证[tex=0.786x1.0]b4HkKtHXeHofHX/gJc8Agg==[/tex] 与[tex=0.786x1.0]sHo1pKm+gjxjcUAJjHrarQ==[/tex]相似.
- 已知[tex=0.5x1.0]/BQKP5E8YnupUQ2sDg7w1Q==[/tex]阶方阵[tex=0.786x1.0]b4HkKtHXeHofHX/gJc8Agg==[/tex]的特征值为[tex=3.214x1.214]AR2NZJX7MZs0NlT/FTXA5A==[/tex], 设[tex=6.143x1.357]GXZk0g8n9F5fV4GyCGm9m4TPvf98FlBFLyYISFusqN4=[/tex], 试求[tex=3.786x1.357]4SszNWlE6Hody0qd7xZ34A==[/tex]。
- 设 [tex=9.786x1.286]DQ1ZsnXfTUHqv3aeNI8TmtYnGbUL/0+sIYsjPWXY8gvgx6R0cuYt0RtG7mXTbZvLu6NAcQR1sSciIWMyvqLruQ==[/tex]. 令 [tex=2.0x1.214]L13v13gszAHTYXVyhXnbMg==[/tex] 分别为[tex=19.429x7.643]apkvZnpOyWUQAwLC3506svu/wi6+Vf6yufHs2t0U/LSrh/UR0yRmjSDCWbIkiRP5KNj0dZklPPpanqGHBxZxFUke2yxSRM0Le7aQ3x9IDgx2oqCjLeQmJ9I9Lm9FZQ1WrcN8ZLFliV7YbEntpFqEeNpUcj5kCwUcku7rrZhd6wBL1Aql4yV6U060EGb17OYbw4qmpXPgwT1S+bq2Xxvj+gLg79Xtu9OzAY2CGBuSFEPGuNht6ymFtD2ttg3bfXZG/8v7eXiI/MgwKhieqFXTVaxYoXk+3j4luucBI8n4MULK8T67TezHoDNdox2qVCzjtZTPjtIgl2EZZEy9x/2N7w==[/tex]，[tex=23.786x7.714]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[/tex].1) 计算 [tex=1.571x1.0]KtUvskt9CnZGjwvAZvfMbg==[/tex].2) 求 [tex=2.357x1.0]NovbxKl63Ey/milqTcbe/0+weZrZwV0IV2WDP9e/d4g=[/tex].3) [tex=9.143x1.214]W+JKlZTCQuMKHwApS0vbt6P88J6iGPqmse/zfvqGaOiRTh3wV751xrP0M0uf4DMSNyBUI4gfEk1UxitcE2tRlw==[/tex] 时，[tex=3.143x1.0]NovbxKl63Ey/milqTcbe/8jdjiYrbSNvYzAkW4iNzpM=[/tex]？