[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=7.071x3.929]075gCzZzsMRb6HYXYk9X97lm0piaoXXTnWtjD1eK3ENSuftP1aLB7eMvRbzDZC+oJSM4R2M7YZs1mznS+rRXjuHfIVJKYVGeFwsyCyXZCNVx/bmFxHsYokbiY7DcNVzf[/tex][/color]

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2022-06-08

[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=7.071x3.929]075gCzZzsMRb6HYXYk9X97lm0piaoXXTnWtjD1eK3ENSuftP1aLB7eMvRbzDZC+oJSM4R2M7YZs1mznS+rRXjuHfIVJKYVGeFwsyCyXZCNVx/bmFxHsYokbiY7DcNVzf[/tex][/color]

答案：

已知[tex=8.786x3.929]sSXBpxJWudVpH1R35o4LnKJM2415lz7h6wGN/n3rB4RgO9Z7QB0E8yB41D1jSzRYAwYX5VDDiOjREl1iE/XDVgxhn/EFUnhDz6VDqxKGXfbNGRyVzgImspQO7SXP3r1K[/tex],且[tex=24.786x3.929]2m10SVpvH+cBaGv/24udHAZ08CgxWzOCzOrlFazVpP3jdFmWr+d88x3+ZuuSC0A4zmgmV+qTMj+V40lOfwRwW0ifcWYzh2Xcf9d3tXP/e3Vlos22KNZLnyJcMn3QunacQcR5S/Uq5PRq9W3CUT5IrywkOqhhhvVVrANWvrmIWWWLA5nZ/OeE2s399Vwb2axLMY+VoM/fWeO4JGCLeweO1mDyAl22xo1CVF7JWcL5Tq8baEGZr22guTTablzJNBZAKH05JiGo/wsUKrkepXzH2UwrlMjbwqtfOIzxLUriRlaDSqcwMe3+do4Fy49Yoxif[/tex]所以[tex=0.786x1.0]Yn3GgEZev6SOu2r4v1WnCw==[/tex] 的不变因子为[tex=15.5x1.5]TEGirnwmL8UKRwIhZjkHCfB2WGGcRqYAIvda9wm/NJ2rpii7ewVkaTMKWzBZ99EXJT6DzQTbIFc1vwR7pqp8GsUURZ51xncAZwyJMHPJHhuP0TLNRwgY4wJ9gooyWoPq[/tex]故[tex=0.786x1.0]Yn3GgEZev6SOu2r4v1WnCw==[/tex] 的有理标准形为[tex=7.786x3.5]DgXZT9CtCPAglTYwc4pEdcJjJ6UqHy7XEnnSbL/wpDbjv+7kWL7Ge+g3IEGD82TpJvoIoY2UjXYcN8mzwYvpsTRoUkGJ3yA5/JLZ3h8m90Jgl7SEASu3YKPlA56yII93[/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
[color=#333333]以下各对函数 [tex=3.143x1.357]Sx1jPzN3mpdFiTjxXfYX2w==[/tex] [/color][color=#333333]与 [tex=3.214x1.357]8xwCvkEAqCMWuthKGAXYJg==[/tex][/color][color=#333333] 中，哪些可以复合成复合函数 [tex=2.929x1.357]KH0sMiWOAbXTMyYS1HBxAQ==[/tex][/color][color=#333333]?[/color][color=#333333][tex=10.0x1.357]IrjRg1aA+a4woq2L1DjNtdvaVQNu823Lxg8cNSs6ZhU=[/tex].[/color]