用伴随矩阵求下列矩阵的逆矩阵:[tex=8.571x3.643]3BT1BgBZQ5uJXxD5dg+w24EIHBTW1CEIUbUT05PgyBBLkpgBjy0uHr8JsELfizldMz9MjT23I4GfJLZ9SDZ+oHZcercMCImIBYxKiRNWdse4CuTaPY2kIX37NXMRp4Kh[/tex]
用伴随矩阵求下列矩阵的逆矩阵:[tex=8.571x3.643]3BT1BgBZQ5uJXxD5dg+w24EIHBTW1CEIUbUT05PgyBBLkpgBjy0uHr8JsELfizldMz9MjT23I4GfJLZ9SDZ+oHZcercMCImIBYxKiRNWdse4CuTaPY2kIX37NXMRp4Kh[/tex]
设[tex=8.571x3.643]59Kc+wt/w/lXK3ncoinsUetnujNMGf4BUy0pvEK238Gb6SHIRM0+T47Cz+/vblu2k3k9BSKJBZGnAWQ4ayiTA9GVlc72MsoXp9LP8su75xhyxfOrcbcHCns102EIWAJw[/tex]，[tex=6.0x1.286]o+edvdo9sNZqvro5ggSqVw==[/tex]，求[tex=0.786x1.286]q1djlrfSWHAqH21hBgtrSw==[/tex]。
设[tex=8.571x3.643]59Kc+wt/w/lXK3ncoinsUetnujNMGf4BUy0pvEK238Gb6SHIRM0+T47Cz+/vblu2k3k9BSKJBZGnAWQ4ayiTA9GVlc72MsoXp9LP8su75xhyxfOrcbcHCns102EIWAJw[/tex]，[tex=6.0x1.286]o+edvdo9sNZqvro5ggSqVw==[/tex]，求[tex=0.786x1.286]q1djlrfSWHAqH21hBgtrSw==[/tex]。
求下列矩阵的秩，并求它的一个最高阶非零子式:[tex=8.571x3.643]sSXBpxJWudVpH1R35o4LnMNgBsA4fnfhlCpkSaYvz5ubMzbkoii85E7nBiE61NADLJAop00i7Olqnr53A4MU0g5fPo8C0OlASdggt56XzyOg4B+8eYtR4u/m5NVpPqdW[/tex]
求下列矩阵的秩，并求它的一个最高阶非零子式:[tex=8.571x3.643]sSXBpxJWudVpH1R35o4LnMNgBsA4fnfhlCpkSaYvz5ubMzbkoii85E7nBiE61NADLJAop00i7Olqnr53A4MU0g5fPo8C0OlASdggt56XzyOg4B+8eYtR4u/m5NVpPqdW[/tex]
设矩阵 [tex=8.571x3.643]sSXBpxJWudVpH1R35o4LnFKMEhqL+fE5+KmSMKvTJ7vh+d9MGnNkr2QvFw4pv26sC7zVi6rs9IfJtG+/TKRK/rbM6SaGdTg/hu6SGAYyD7Fj+ZqNoSFYMDxJ7ZV09XhO[/tex]，[tex=9.286x2.786]tAg4kjefm91yBdigy4ffjOnGO7sIccrlbTvWpabhiAFDM7APPi3SXMEu4DN92SIw4CxInuCl5/eRFVaWe4jO7wjC5xsd1g3ewlW2+aFYd9U=[/tex]，求矩阵 [tex=0.857x1.0]N7iCrOsS+NNEUUlnsYCi1g==[/tex]，使 [tex=3.143x1.0]sC6ZehQLK378a4wcbKbEPw==[/tex] .
设矩阵 [tex=8.571x3.643]sSXBpxJWudVpH1R35o4LnFKMEhqL+fE5+KmSMKvTJ7vh+d9MGnNkr2QvFw4pv26sC7zVi6rs9IfJtG+/TKRK/rbM6SaGdTg/hu6SGAYyD7Fj+ZqNoSFYMDxJ7ZV09XhO[/tex]，[tex=9.286x2.786]tAg4kjefm91yBdigy4ffjOnGO7sIccrlbTvWpabhiAFDM7APPi3SXMEu4DN92SIw4CxInuCl5/eRFVaWe4jO7wjC5xsd1g3ewlW2+aFYd9U=[/tex]，求矩阵 [tex=0.857x1.0]N7iCrOsS+NNEUUlnsYCi1g==[/tex]，使 [tex=3.143x1.0]sC6ZehQLK378a4wcbKbEPw==[/tex] .
用初等变换求矩阵[tex=0.786x1.0]b4HkKtHXeHofHX/gJc8Agg==[/tex]的逆矩阵[tex=1.714x1.214]7C7buHrEjtTiQLgvjQX6/w==[/tex]，其中[tex=8.571x3.643]QN0fTQbn6M33pU3gx/S2shFzvXJob3IOOSqx/0F5epuFUiX1PtL+EVW5R+1Wy3HAqDRxsEBJGQ/9xC8zdcogrpaXw+L4wkEJqK8muBn7Q4NX5VupXCIXlEcXGfrTuReu[/tex].
用初等变换求矩阵[tex=0.786x1.0]b4HkKtHXeHofHX/gJc8Agg==[/tex]的逆矩阵[tex=1.714x1.214]7C7buHrEjtTiQLgvjQX6/w==[/tex]，其中[tex=8.571x3.643]QN0fTQbn6M33pU3gx/S2shFzvXJob3IOOSqx/0F5epuFUiX1PtL+EVW5R+1Wy3HAqDRxsEBJGQ/9xC8zdcogrpaXw+L4wkEJqK8muBn7Q4NX5VupXCIXlEcXGfrTuReu[/tex].
设矩阵[tex=8.571x3.643]QN0fTQbn6M33pU3gx/S2svsG3i64M1qCGgKjhApBlohSB4x3+dd95YZujYBJC3QNI/95hoiw33ZZWL/+AHcY/pJCDO4J2oK1g/ty6tKu80n+sXLw4pjV+JXrJgQ0c7oY[/tex]，求正交矩阵[tex=0.857x1.214]bKYFB0pw9Vz5Wjasq5kxDA==[/tex]，使[tex=3.286x1.429]hwtPsKLJq5x8Qu2B8wXGlA==[/tex]为对角矩阵.
设矩阵[tex=8.571x3.643]QN0fTQbn6M33pU3gx/S2svsG3i64M1qCGgKjhApBlohSB4x3+dd95YZujYBJC3QNI/95hoiw33ZZWL/+AHcY/pJCDO4J2oK1g/ty6tKu80n+sXLw4pjV+JXrJgQ0c7oY[/tex]，求正交矩阵[tex=0.857x1.214]bKYFB0pw9Vz5Wjasq5kxDA==[/tex]，使[tex=3.286x1.429]hwtPsKLJq5x8Qu2B8wXGlA==[/tex]为对角矩阵.
下面有理数域上的矩阵[tex=0.786x1.0]Yn3GgEZev6SOu2r4v1WnCw==[/tex]有无初等因子？如果有，请求出[tex=0.786x1.0]Yn3GgEZev6SOu2r4v1WnCw==[/tex]的初等因子。[tex=8.571x3.643]sSXBpxJWudVpH1R35o4LnLuootB4l6fx8Ds4uEjCX29GRrS27hs+dRmKVO3nCIcA8dtDfv2SQ8db6vxi3jnzOkTnmqsS788BXeksL73sAaGORr4W1Hrk4if2b1KtgXEi[/tex]
下面有理数域上的矩阵[tex=0.786x1.0]Yn3GgEZev6SOu2r4v1WnCw==[/tex]有无初等因子？如果有，请求出[tex=0.786x1.0]Yn3GgEZev6SOu2r4v1WnCw==[/tex]的初等因子。[tex=8.571x3.643]sSXBpxJWudVpH1R35o4LnLuootB4l6fx8Ds4uEjCX29GRrS27hs+dRmKVO3nCIcA8dtDfv2SQ8db6vxi3jnzOkTnmqsS788BXeksL73sAaGORr4W1Hrk4if2b1KtgXEi[/tex]
判断矩阵[tex=8.571x3.643]3BT1BgBZQ5uJXxD5dg+w20mLhB45QXWyHS6VGL2apX1zTTISkUjmaktE8eNLNEnljjvZQhwmVi2lcGcOvwmvPE8JZDLKGKLxqdg65jfk8rY0YjWuGADoBNIpNrRtgT49[/tex]是否对角化? 若对角化，试求出可逆矩阵 [tex=0.929x1.214]4M4JO+cg8PL6vWL6afoCdg==[/tex] 使[tex=3.143x1.214]W4jiGACeVytyGqwMmeXGeQ==[/tex] 为对角阵。
判断矩阵[tex=8.571x3.643]3BT1BgBZQ5uJXxD5dg+w20mLhB45QXWyHS6VGL2apX1zTTISkUjmaktE8eNLNEnljjvZQhwmVi2lcGcOvwmvPE8JZDLKGKLxqdg65jfk8rY0YjWuGADoBNIpNrRtgT49[/tex]是否对角化? 若对角化，试求出可逆矩阵 [tex=0.929x1.214]4M4JO+cg8PL6vWL6afoCdg==[/tex] 使[tex=3.143x1.214]W4jiGACeVytyGqwMmeXGeQ==[/tex] 为对角阵。
设矩阵[tex=8.571x3.643]QN0fTQbn6M33pU3gx/S2shFzvXJob3IOOSqx/0F5epsBcJ5fNfEhAedoJ20p4i/U8IdIV/1tcxJZjG2DZsUcpKNTe1kvhPlh24PMiXf1dGYzrz1wvzBgDve1IgrudcBW[/tex], 其伴随矩阵[tex=1.143x1.071]DG0xWAcfB5mzZr1Nfl7QQg==[/tex] 的逆矩阵[tex=3.857x1.571]fQBxPqr3vcyIR5D8DNIS2l4rw8ZgAwg29vil+YekGEM=[/tex][input=type:blank,size:4][/input].
设矩阵[tex=8.571x3.643]QN0fTQbn6M33pU3gx/S2shFzvXJob3IOOSqx/0F5epsBcJ5fNfEhAedoJ20p4i/U8IdIV/1tcxJZjG2DZsUcpKNTe1kvhPlh24PMiXf1dGYzrz1wvzBgDve1IgrudcBW[/tex], 其伴随矩阵[tex=1.143x1.071]DG0xWAcfB5mzZr1Nfl7QQg==[/tex] 的逆矩阵[tex=3.857x1.571]fQBxPqr3vcyIR5D8DNIS2l4rw8ZgAwg29vil+YekGEM=[/tex][input=type:blank,size:4][/input].
解矩阵方程：设[tex=8.571x3.643]59Kc+wt/w/lXK3ncoinsUQ2jYDI0FWaxU84o1BsTZqQPJsS4C1t/DB2Pa2g/ei6MJbjbilww0H21C6SfLB2l+IlLmbgUi6MDPnXyaeVsTzT8xeNt9QFKY/Jt0VJTbImy[/tex]，[tex=7.071x3.643]HJammJSW6EkxRCluDbVEjsRhwsc/PMB9Ef6wRcUE+9WSLVeTqk4XrSLpNbUwUM8KA1S+9MRdqVdbdqsW0CV/Xgc9zkcawnuKxWeh7xG0K7w=[/tex]，求[tex=0.929x1.286]uswT/CEcOIwMpCvTz/zeaA==[/tex]使[tex=3.714x1.286]K+fSbsS3sMnLaOoXAZeadw==[/tex]。
解矩阵方程：设[tex=8.571x3.643]59Kc+wt/w/lXK3ncoinsUQ2jYDI0FWaxU84o1BsTZqQPJsS4C1t/DB2Pa2g/ei6MJbjbilww0H21C6SfLB2l+IlLmbgUi6MDPnXyaeVsTzT8xeNt9QFKY/Jt0VJTbImy[/tex]，[tex=7.071x3.643]HJammJSW6EkxRCluDbVEjsRhwsc/PMB9Ef6wRcUE+9WSLVeTqk4XrSLpNbUwUM8KA1S+9MRdqVdbdqsW0CV/Xgc9zkcawnuKxWeh7xG0K7w=[/tex]，求[tex=0.929x1.286]uswT/CEcOIwMpCvTz/zeaA==[/tex]使[tex=3.714x1.286]K+fSbsS3sMnLaOoXAZeadw==[/tex]。