[color=#333333]把下面的矩阵看成有理数域上矩阵,试写出它的有理标准形.[/color][color=#333333][tex=7.786x4.5]075gCzZzsMRb6HYXYk9X9zMngRdrzvluIgaCMX64sWuRugw2cthNlY5aQ+REotwpdG6cd/DoAKI4cepKi8018xuMoUmJ9b65lRqO3+LeBjrvvb2EHM1SKa5qgJe7m/JfrldqoCLJnVMye9cOR3VkiQ==[/tex][/color]

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2022-06-27

[color=#333333]把下面的矩阵看成有理数域上矩阵,试写出它的有理标准形.[/color][color=#333333][tex=7.786x4.5]075gCzZzsMRb6HYXYk9X9zMngRdrzvluIgaCMX64sWuRugw2cthNlY5aQ+REotwpdG6cd/DoAKI4cepKi8018xuMoUmJ9b65lRqO3+LeBjrvvb2EHM1SKa5qgJe7m/JfrldqoCLJnVMye9cOR3VkiQ==[/tex][/color]

答案：

已知 [tex=9.5x4.5]sSXBpxJWudVpH1R35o4LnP1lv945g/bFokOQ7O/fJ0tBnytcqW9x4ZJRZa7AL51gOYRG3U2HjUrLZ4J8fCOX3AHQm9doQQ30N1oaFarv5UvJVPJ04t9ddsiktpINMDwrv/ngXxwOCyi4h28tVKuCKg==[/tex]，且[tex=17.0x5.214]2m10SVpvH+cBaGv/24udHAZ08CgxWzOCzOrlFazVpP2YToYdiWzL2GlYJHshpB2yMC8vNbgN4+yzli0/0G6yyzrTPpiC71cWj/MiPyHss9MR6TLzmCJ41i45yb+U7JKc21Rf2Y6iqvADsZFfO4fzkKxe5RAlH8pWeqZ4F+UjVmasqkk6+Z3UrS8sxE8EKxuncfSNsH4g2nISYZJqUXcFkUayDMF4slsKsDaCzE25gi8=[/tex]因为[tex=14.5x1.286]3jElcGVDqJuYex75dHn6c23KtSxF/KrC+5hVOlT/kCo+VZIxL0MEN4p+iT9C9+r1L5FRDmtebwn9+Hv3a4DKxg==[/tex](三阶子式的公因式是零次多项式),所以 A 的不变 因子为[tex=31.0x1.286]xJkTRsJIToiZh8yfqn8j6DyvAhviyWZE+hDR/jPBDvPs3var+9e+59wwJk1QOpKQQv5eAU3w70KM11YeVwcnuZmdYHF/Uy9uY8DWJ2d9YBmbaaELLHfdGauX7zDrtAdYZnopz/RY4o4L4IDNKdJIWZAhM0LxQNTIsIAvVXbSayLhfV0Og8UTIvCzCxofOURQ[/tex]故 [tex=0.786x1.286]pi/GsQ3apuRt43V3XQq/tA==[/tex] 的有理标准形为[tex=10.286x4.786]DgXZT9CtCPAglTYwc4pEdbGzOY25h8g0IccP+slD5NLHpfXEgYst5CWR2IqmEQLO7JOt0+mT4UgepQNll0F0JBvAjxCUgP4yDpcGTOrRUHLVfI5WsiIIgEvaweb5V5EZ5QHJxiT9vuGRHFdOKgCN8FRjNOJ04AHGXTgitDLMlY8=[/tex]

举一反三

内容

0
[color=#333333]把下面的矩阵看成有理数域上矩阵,试写出它的有理标准形.[/color][color=#333333][tex=9.857x4.929]075gCzZzsMRb6HYXYk9X9+RSwkh5ug8sD2/ryQiP3SCQcwJmi/RGOCKHLiLQdbfiZOEyCQ2YF7MhIhGUN3kS52xRzuLIdNYQrexcC2Z+dtDMkfF+O2SfnmlMpKlRUd9g0JCiFm77XMF50ZUXo+Kz2rqlbUU4gw/9+IDtDOgwLaM=[/tex][/color]
1
把下面的矩阵看成有理数域上矩阵,试写出它的有理标准形.[tex=8.643x3.929]075gCzZzsMRb6HYXYk9X91pgivcKHIS/01telWJQwUJoP6e14JfyYEfoKLvOF+wXYODVqQFDker7mz2YJ8Ebg7sRuwhbFJRkwaHTKcxqqrKr0GYBqwsrwGb4qm7WzLHg[/tex]
2
把下面的矩阵看成有理数域上矩阵,试写出它的有理标准形.[tex=8.429x3.643]075gCzZzsMRb6HYXYk9X97JCsalE4H7wEttrl0oWpGLMXZ/33P+quezYuss8KqFBONVXBLn0yoX89jn9INuAMrE7u7VAehu9z97K4wfep+DSbJEz1gMPWbFjLrsON5Rm[/tex]
3
把下面的矩阵看成有理数域上矩阵,试写出它的有理标准形.[tex=8.429x3.643]075gCzZzsMRb6HYXYk9X95TRB0ZrvdHk+RilcQHME9ovmBTfqK5IpvvpIX2sZQFqAbKMCqJaSmWkMLbBRBVaiH+/AUkT8QfNMBC3DgUmARjb5Lq11sOTlr+/ojh8qJwi[/tex]
4
[tex=22.0x1.357]LHJ+y85YXU3v8GHWdrdQw3Wkm42jO1uuQ9ReIJQjcZKuQS9dt8xQcTgSBjKkS3fb[/tex][color=#000000][b],[/b][/color][color=#000000][b]求 [/b][tex=3.143x1.214]oFObQtwM9vyjjWL7fjyhww==[/tex][/color][color=#000000][b]全不发生的概率.[/b][/color] A: 3/8 B: 7/9 C: 5/9 D: 5/8