利用分块矩阵求矩阵的逆矩阵:[tex=6.929x3.643]jyVOORWehIbTNQvvtYroWp+osaXFeY8xl2mulcJcNaCun4Zvkavc80B9DJdEXB9wZNderKuLHr7S5PGHVlnOBfk4F5Fb06p1ExBmWzMQ5ZwehsWxyqc7MNa8UHX+bcg7[/tex]。
利用分块矩阵求矩阵的逆矩阵:[tex=6.929x3.643]jyVOORWehIbTNQvvtYroWp+osaXFeY8xl2mulcJcNaCun4Zvkavc80B9DJdEXB9wZNderKuLHr7S5PGHVlnOBfk4F5Fb06p1ExBmWzMQ5ZwehsWxyqc7MNa8UHX+bcg7[/tex]。
设 3 阶方阵[tex=0.786x1.0]b4HkKtHXeHofHX/gJc8Agg==[/tex]有特征值 -1,1,2, 它们所对应的特征向量分别为[tex=0.857x1.214]qPXt9x2SBkBATZzE4oXUrA==[/tex],[tex=0.857x1.214]ufIZfn7HHtcdCseG+TTmyA==[/tex],[tex=0.857x1.214]CyQvgSvupRK+TIa0SgdVSQ==[/tex],令[tex=5.286x1.357]9jDYzbE5S3DCDVrT04L9IYeCGcCvNQGy9Ai6bmBEqn+gOzF8xHqtBbub1NXobyhh[/tex]则[tex=3.143x1.214]Wy8xQjMsBEyjJUwCYAP+RQ==[/tex] 为( ),且说明理由. 未知类型:{'options': ['[tex=6.929x3.643]075gCzZzsMRb6HYXYk9X9/gUyjNNxd9de4Ur9UUcCzr2ErxIzH5rthmmjXGoXVkhMPJTHvHSklujjPPctktOtVcylWaKd3miBj3rn6Cb5sWOaq6vHFNdM9YVPmF982da[/tex]', '[tex=6.929x3.643]075gCzZzsMRb6HYXYk9X981blyLX29KCItuK/TNOr5N0+/ujG+Y+cbNb7rENfratVGqD60Nr5B3cXRlK1iC9uBZiDcPK+Minwj3m5wlqNyPkIuTIAfwgiHC0oSMFJ+Zj[/tex]', '[tex=6.929x3.643]075gCzZzsMRb6HYXYk9X981blyLX29KCItuK/TNOr5MjWLGTNFcUPGXsR81fpnf5yGOOgl6Z7c2m/NbPktW65uBFX4zt6rj15ZWrUYFddvilkrn8+1zCfZSUNwdC4jui[/tex]', '[tex=6.929x3.643]075gCzZzsMRb6HYXYk9X9+eShLkHtFSVjouCi38ChPw2h8UbxeA4Ou+W+x2HdmKQA2dZ8guv9tM8HkZpuyurlYt2gOs2okwJ/KLPu8ntwn5Isdj5fNpZBOk/uWtadxXC[/tex]'], 'type': 102}
设 3 阶方阵[tex=0.786x1.0]b4HkKtHXeHofHX/gJc8Agg==[/tex]有特征值 -1,1,2, 它们所对应的特征向量分别为[tex=0.857x1.214]qPXt9x2SBkBATZzE4oXUrA==[/tex],[tex=0.857x1.214]ufIZfn7HHtcdCseG+TTmyA==[/tex],[tex=0.857x1.214]CyQvgSvupRK+TIa0SgdVSQ==[/tex],令[tex=5.286x1.357]9jDYzbE5S3DCDVrT04L9IYeCGcCvNQGy9Ai6bmBEqn+gOzF8xHqtBbub1NXobyhh[/tex]则[tex=3.143x1.214]Wy8xQjMsBEyjJUwCYAP+RQ==[/tex] 为( ),且说明理由. 未知类型:{'options': ['[tex=6.929x3.643]075gCzZzsMRb6HYXYk9X9/gUyjNNxd9de4Ur9UUcCzr2ErxIzH5rthmmjXGoXVkhMPJTHvHSklujjPPctktOtVcylWaKd3miBj3rn6Cb5sWOaq6vHFNdM9YVPmF982da[/tex]', '[tex=6.929x3.643]075gCzZzsMRb6HYXYk9X981blyLX29KCItuK/TNOr5N0+/ujG+Y+cbNb7rENfratVGqD60Nr5B3cXRlK1iC9uBZiDcPK+Minwj3m5wlqNyPkIuTIAfwgiHC0oSMFJ+Zj[/tex]', '[tex=6.929x3.643]075gCzZzsMRb6HYXYk9X981blyLX29KCItuK/TNOr5MjWLGTNFcUPGXsR81fpnf5yGOOgl6Z7c2m/NbPktW65uBFX4zt6rj15ZWrUYFddvilkrn8+1zCfZSUNwdC4jui[/tex]', '[tex=6.929x3.643]075gCzZzsMRb6HYXYk9X9+eShLkHtFSVjouCi38ChPw2h8UbxeA4Ou+W+x2HdmKQA2dZ8guv9tM8HkZpuyurlYt2gOs2okwJ/KLPu8ntwn5Isdj5fNpZBOk/uWtadxXC[/tex]'], 'type': 102}
下列矩阵不是初等矩阵的是 未知类型:{'options': ['[tex=6.143x3.5]jcCMHflCR8OS9TosV6N5vEN9zK3ymlxcCM1AlkizbdTiehqwCjCWzAW8sn8CxpyO2SgTDHdBfgZzvJkg+dqgW06YDlHhbG43whoAaLOzKpo=[/tex]', '\xa0[tex=6.929x3.643]jcCMHflCR8OS9TosV6N5vOqsMjnXfio51x/seH+wkzNKnaXTcVidMXXaN0zLLwccNqKwRPZPwn+YrhLHLr/0ieGO5NztywUPTydprMAKNpRqm5IS10WDW7E5lvOM7qsq[/tex]', '\xa0[tex=7.5x4.786]jcCMHflCR8OS9TosV6N5vAhgFjVqQb56tChOyRcuT1fZaNZyBXN9HvTZ79n8bB2GoMuZKsyE1k9QR/lbcjUhZ36kz1fAgF4nbcb7iyWs45CF1oSP7svsgkhiRzHMP4pE[/tex]', '[tex=6.929x3.643]jcCMHflCR8OS9TosV6N5vAhgFjVqQb56tChOyRcuT1fOyhzLDsjVkeVHjL3etPljIfqp5f2SyrNijY3XElK9nWHov3iSUm/B+/HL9IC73IFHrDo1Ke4KDc11v3jN8Tum[/tex]'], 'type': 102}
下列矩阵不是初等矩阵的是 未知类型:{'options': ['[tex=6.143x3.5]jcCMHflCR8OS9TosV6N5vEN9zK3ymlxcCM1AlkizbdTiehqwCjCWzAW8sn8CxpyO2SgTDHdBfgZzvJkg+dqgW06YDlHhbG43whoAaLOzKpo=[/tex]', '\xa0[tex=6.929x3.643]jcCMHflCR8OS9TosV6N5vOqsMjnXfio51x/seH+wkzNKnaXTcVidMXXaN0zLLwccNqKwRPZPwn+YrhLHLr/0ieGO5NztywUPTydprMAKNpRqm5IS10WDW7E5lvOM7qsq[/tex]', '\xa0[tex=7.5x4.786]jcCMHflCR8OS9TosV6N5vAhgFjVqQb56tChOyRcuT1fZaNZyBXN9HvTZ79n8bB2GoMuZKsyE1k9QR/lbcjUhZ36kz1fAgF4nbcb7iyWs45CF1oSP7svsgkhiRzHMP4pE[/tex]', '[tex=6.929x3.643]jcCMHflCR8OS9TosV6N5vAhgFjVqQb56tChOyRcuT1fOyhzLDsjVkeVHjL3etPljIfqp5f2SyrNijY3XElK9nWHov3iSUm/B+/HL9IC73IFHrDo1Ke4KDc11v3jN8Tum[/tex]'], 'type': 102}
下列矩阵不是初等矩阵的是 未知类型:{'options': ['[tex=6.143x3.5]jcCMHflCR8OS9TosV6N5vEN9zK3ymlxcCM1AlkizbdTiehqwCjCWzAW8sn8CxpyO2SgTDHdBfgZzvJkg+dqgW06YDlHhbG43whoAaLOzKpo=[/tex]', '\xa0[tex=6.929x3.643]jcCMHflCR8OS9TosV6N5vOqsMjnXfio51x/seH+wkzNKnaXTcVidMXXaN0zLLwccNqKwRPZPwn+YrhLHLr/0ieGO5NztywUPTydprMAKNpRqm5IS10WDW7E5lvOM7qsq[/tex]', '\xa0[tex=7.5x4.786]jcCMHflCR8OS9TosV6N5vAhgFjVqQb56tChOyRcuT1fZaNZyBXN9HvTZ79n8bB2GoMuZKsyE1k9QR/lbcjUhZ36kz1fAgF4nbcb7iyWs45CF1oSP7svsgkhiRzHMP4pE[/tex]', '[tex=6.929x3.643]jcCMHflCR8OS9TosV6N5vAhgFjVqQb56tChOyRcuT1fOyhzLDsjVkeVHjL3etPljIfqp5f2SyrNijY3XElK9nWHov3iSUm/B+/HL9IC73IFHrDo1Ke4KDc11v3jN8Tum[/tex]'], 'type': 102}
下列矩阵不是初等矩阵的是 未知类型:{'options': ['[tex=6.143x3.5]jcCMHflCR8OS9TosV6N5vEN9zK3ymlxcCM1AlkizbdTiehqwCjCWzAW8sn8CxpyO2SgTDHdBfgZzvJkg+dqgW06YDlHhbG43whoAaLOzKpo=[/tex]', '\xa0[tex=6.929x3.643]jcCMHflCR8OS9TosV6N5vOqsMjnXfio51x/seH+wkzNKnaXTcVidMXXaN0zLLwccNqKwRPZPwn+YrhLHLr/0ieGO5NztywUPTydprMAKNpRqm5IS10WDW7E5lvOM7qsq[/tex]', '\xa0[tex=7.5x4.786]jcCMHflCR8OS9TosV6N5vAhgFjVqQb56tChOyRcuT1fZaNZyBXN9HvTZ79n8bB2GoMuZKsyE1k9QR/lbcjUhZ36kz1fAgF4nbcb7iyWs45CF1oSP7svsgkhiRzHMP4pE[/tex]', '[tex=6.929x3.643]jcCMHflCR8OS9TosV6N5vAhgFjVqQb56tChOyRcuT1fOyhzLDsjVkeVHjL3etPljIfqp5f2SyrNijY3XElK9nWHov3iSUm/B+/HL9IC73IFHrDo1Ke4KDc11v3jN8Tum[/tex]'], 'type': 102}
下列矩阵不是初等矩阵的是 未知类型:{'options': ['[tex=6.143x3.5]jcCMHflCR8OS9TosV6N5vEN9zK3ymlxcCM1AlkizbdTiehqwCjCWzAW8sn8CxpyO2SgTDHdBfgZzvJkg+dqgW06YDlHhbG43whoAaLOzKpo=[/tex]', '\xa0[tex=6.929x3.643]jcCMHflCR8OS9TosV6N5vOqsMjnXfio51x/seH+wkzNKnaXTcVidMXXaN0zLLwccNqKwRPZPwn+YrhLHLr/0ieGO5NztywUPTydprMAKNpRqm5IS10WDW7E5lvOM7qsq[/tex]', '\xa0[tex=7.5x4.786]jcCMHflCR8OS9TosV6N5vAhgFjVqQb56tChOyRcuT1fZaNZyBXN9HvTZ79n8bB2GoMuZKsyE1k9QR/lbcjUhZ36kz1fAgF4nbcb7iyWs45CF1oSP7svsgkhiRzHMP4pE[/tex]', '[tex=6.929x3.643]jcCMHflCR8OS9TosV6N5vAhgFjVqQb56tChOyRcuT1fOyhzLDsjVkeVHjL3etPljIfqp5f2SyrNijY3XElK9nWHov3iSUm/B+/HL9IC73IFHrDo1Ke4KDc11v3jN8Tum[/tex]'], 'type': 102}
下列矩阵不是初等矩阵的是 未知类型:{'options': ['[tex=6.143x3.5]jcCMHflCR8OS9TosV6N5vEN9zK3ymlxcCM1AlkizbdTiehqwCjCWzAW8sn8CxpyO2SgTDHdBfgZzvJkg+dqgW06YDlHhbG43whoAaLOzKpo=[/tex]', '\xa0[tex=6.929x3.643]jcCMHflCR8OS9TosV6N5vOqsMjnXfio51x/seH+wkzNKnaXTcVidMXXaN0zLLwccNqKwRPZPwn+YrhLHLr/0ieGO5NztywUPTydprMAKNpRqm5IS10WDW7E5lvOM7qsq[/tex]', '\xa0[tex=7.5x4.786]jcCMHflCR8OS9TosV6N5vAhgFjVqQb56tChOyRcuT1fZaNZyBXN9HvTZ79n8bB2GoMuZKsyE1k9QR/lbcjUhZ36kz1fAgF4nbcb7iyWs45CF1oSP7svsgkhiRzHMP4pE[/tex]', '[tex=6.929x3.643]jcCMHflCR8OS9TosV6N5vAhgFjVqQb56tChOyRcuT1fOyhzLDsjVkeVHjL3etPljIfqp5f2SyrNijY3XElK9nWHov3iSUm/B+/HL9IC73IFHrDo1Ke4KDc11v3jN8Tum[/tex]'], 'type': 102}
下列矩阵不是初等矩阵的是 未知类型:{'options': ['[tex=6.143x3.5]jcCMHflCR8OS9TosV6N5vEN9zK3ymlxcCM1AlkizbdTiehqwCjCWzAW8sn8CxpyO2SgTDHdBfgZzvJkg+dqgW06YDlHhbG43whoAaLOzKpo=[/tex]', '\xa0[tex=6.929x3.643]jcCMHflCR8OS9TosV6N5vOqsMjnXfio51x/seH+wkzNKnaXTcVidMXXaN0zLLwccNqKwRPZPwn+YrhLHLr/0ieGO5NztywUPTydprMAKNpRqm5IS10WDW7E5lvOM7qsq[/tex]', '\xa0[tex=7.5x4.786]jcCMHflCR8OS9TosV6N5vAhgFjVqQb56tChOyRcuT1fZaNZyBXN9HvTZ79n8bB2GoMuZKsyE1k9QR/lbcjUhZ36kz1fAgF4nbcb7iyWs45CF1oSP7svsgkhiRzHMP4pE[/tex]', '[tex=6.929x3.643]jcCMHflCR8OS9TosV6N5vAhgFjVqQb56tChOyRcuT1fOyhzLDsjVkeVHjL3etPljIfqp5f2SyrNijY3XElK9nWHov3iSUm/B+/HL9IC73IFHrDo1Ke4KDc11v3jN8Tum[/tex]'], 'type': 102}
下列矩阵不是初等矩阵的是 未知类型:{'options': ['[tex=6.143x3.5]jcCMHflCR8OS9TosV6N5vEN9zK3ymlxcCM1AlkizbdTiehqwCjCWzAW8sn8CxpyO2SgTDHdBfgZzvJkg+dqgW06YDlHhbG43whoAaLOzKpo=[/tex]', '\xa0[tex=6.929x3.643]jcCMHflCR8OS9TosV6N5vOqsMjnXfio51x/seH+wkzNKnaXTcVidMXXaN0zLLwccNqKwRPZPwn+YrhLHLr/0ieGO5NztywUPTydprMAKNpRqm5IS10WDW7E5lvOM7qsq[/tex]', '\xa0[tex=7.5x4.786]jcCMHflCR8OS9TosV6N5vAhgFjVqQb56tChOyRcuT1fZaNZyBXN9HvTZ79n8bB2GoMuZKsyE1k9QR/lbcjUhZ36kz1fAgF4nbcb7iyWs45CF1oSP7svsgkhiRzHMP4pE[/tex]', '[tex=6.929x3.643]jcCMHflCR8OS9TosV6N5vAhgFjVqQb56tChOyRcuT1fOyhzLDsjVkeVHjL3etPljIfqp5f2SyrNijY3XElK9nWHov3iSUm/B+/HL9IC73IFHrDo1Ke4KDc11v3jN8Tum[/tex]'], 'type': 102}
下列矩阵不是初等矩阵的是 未知类型:{'options': ['[tex=6.143x3.5]jcCMHflCR8OS9TosV6N5vEN9zK3ymlxcCM1AlkizbdTiehqwCjCWzAW8sn8CxpyO2SgTDHdBfgZzvJkg+dqgW06YDlHhbG43whoAaLOzKpo=[/tex]', '\xa0[tex=6.929x3.643]jcCMHflCR8OS9TosV6N5vOqsMjnXfio51x/seH+wkzNKnaXTcVidMXXaN0zLLwccNqKwRPZPwn+YrhLHLr/0ieGO5NztywUPTydprMAKNpRqm5IS10WDW7E5lvOM7qsq[/tex]', '\xa0[tex=7.5x4.786]jcCMHflCR8OS9TosV6N5vAhgFjVqQb56tChOyRcuT1fZaNZyBXN9HvTZ79n8bB2GoMuZKsyE1k9QR/lbcjUhZ36kz1fAgF4nbcb7iyWs45CF1oSP7svsgkhiRzHMP4pE[/tex]', '[tex=6.929x3.643]jcCMHflCR8OS9TosV6N5vAhgFjVqQb56tChOyRcuT1fOyhzLDsjVkeVHjL3etPljIfqp5f2SyrNijY3XElK9nWHov3iSUm/B+/HL9IC73IFHrDo1Ke4KDc11v3jN8Tum[/tex]'], 'type': 102}
下列矩阵不是初等矩阵的是 未知类型:{'options': ['[tex=6.143x3.5]jcCMHflCR8OS9TosV6N5vEN9zK3ymlxcCM1AlkizbdTiehqwCjCWzAW8sn8CxpyO2SgTDHdBfgZzvJkg+dqgW06YDlHhbG43whoAaLOzKpo=[/tex]', '\xa0[tex=6.929x3.643]jcCMHflCR8OS9TosV6N5vOqsMjnXfio51x/seH+wkzNKnaXTcVidMXXaN0zLLwccNqKwRPZPwn+YrhLHLr/0ieGO5NztywUPTydprMAKNpRqm5IS10WDW7E5lvOM7qsq[/tex]', '\xa0[tex=7.5x4.786]jcCMHflCR8OS9TosV6N5vAhgFjVqQb56tChOyRcuT1fZaNZyBXN9HvTZ79n8bB2GoMuZKsyE1k9QR/lbcjUhZ36kz1fAgF4nbcb7iyWs45CF1oSP7svsgkhiRzHMP4pE[/tex]', '[tex=6.929x3.643]jcCMHflCR8OS9TosV6N5vAhgFjVqQb56tChOyRcuT1fOyhzLDsjVkeVHjL3etPljIfqp5f2SyrNijY3XElK9nWHov3iSUm/B+/HL9IC73IFHrDo1Ke4KDc11v3jN8Tum[/tex]'], 'type': 102}
用初等变换求矩阵的逆矩阵:[tex=6.929x3.643]rwMhqGKFQ+j3l2qMx/grPjWmddnVE4eyBWxvTakiC1AnfP+obZInAkGBi7NKiKryyMrPtzXolngxQjsS6FsBH4AFcySoHnAwNCXmN2oRn3euY1DvFJ7h/Q//7UReB9Tv[/tex]。
用初等变换求矩阵的逆矩阵:[tex=6.929x3.643]rwMhqGKFQ+j3l2qMx/grPjWmddnVE4eyBWxvTakiC1AnfP+obZInAkGBi7NKiKryyMrPtzXolngxQjsS6FsBH4AFcySoHnAwNCXmN2oRn3euY1DvFJ7h/Q//7UReB9Tv[/tex]。
试计算下面矩阵的特征值及对应的特征向量[tex=6.929x3.643]jcCMHflCR8OS9TosV6N5vPpHpcDbgFo5V3o2h4FW/IygdfVsZOgP7OJ0Sw5/MCPlY2ZhVDAFM9jD2Il9qJrz5KxbJVoA2hRQNrsIpyXxYGU7+tGRNQQNUyJyufqdekhM[/tex]
试计算下面矩阵的特征值及对应的特征向量[tex=6.929x3.643]jcCMHflCR8OS9TosV6N5vPpHpcDbgFo5V3o2h4FW/IygdfVsZOgP7OJ0Sw5/MCPlY2ZhVDAFM9jD2Il9qJrz5KxbJVoA2hRQNrsIpyXxYGU7+tGRNQQNUyJyufqdekhM[/tex]
求下列矩阵的伴随矩阵,若可逆,求逆矩阵:[p=align:center][tex=6.929x3.643]075gCzZzsMRb6HYXYk9X99VY4UUrUduUv3Z42ZOCrBa4teCVjUpFgK+YEWOv17gbkbuZVUWN1bMopZIEDmi+ADGKQSib3V225fmHJnbzVF0ovQayRx2fCgT9sp034Uk4[/tex]
求下列矩阵的伴随矩阵,若可逆,求逆矩阵:[p=align:center][tex=6.929x3.643]075gCzZzsMRb6HYXYk9X99VY4UUrUduUv3Z42ZOCrBa4teCVjUpFgK+YEWOv17gbkbuZVUWN1bMopZIEDmi+ADGKQSib3V225fmHJnbzVF0ovQayRx2fCgT9sp034Uk4[/tex]