设矩阵[tex=9.357x2.786]1/FLtrC8hB/pNFpnMt28N6YYhhrVlCnLrHaHUYZCgJstoBlQW74K098qRS27vjzxqZvh8NCaaXqbVKZfBsQhjpOy0KC2VU9FHxLv3mE/qR8N9q3hXiuBU9MUzKXboZLL[/tex]，[tex=8.571x2.786]wK/tDmUX/6mGW6f2tpIfainxFTS8uYnRF1mCoHt/WCEChHv3XPqf3yj5+0NtLDXUwL9D4FjQYBOrt3eY9/d7v67/RxoB1U0IEsnevrFXcNs1Kh3C0tFDufFlEUeuV84l[/tex]，求[tex=2.571x1.143]r5Haq7W1lVGBc4dFEM2Zk1W3v8ag3hQ/jxq8jI47ovMRWPbY5eGp58IqJCI62D0L[/tex]、[tex=2.571x1.143]jyWvUwiZHYocudv3dZ40u3PiCE6YmHjBoAEA/VHQYKI=[/tex]、[tex=3.571x1.143]Uj9WGbTLOm+tIC5hyi5Kpj7E/Dz3NFHyDtRpARrYS6yN8KCQQyGLDgaFdBL1IeUR[/tex]。
设矩阵[tex=9.357x2.786]1/FLtrC8hB/pNFpnMt28N6YYhhrVlCnLrHaHUYZCgJstoBlQW74K098qRS27vjzxqZvh8NCaaXqbVKZfBsQhjpOy0KC2VU9FHxLv3mE/qR8N9q3hXiuBU9MUzKXboZLL[/tex]，[tex=8.571x2.786]wK/tDmUX/6mGW6f2tpIfainxFTS8uYnRF1mCoHt/WCEChHv3XPqf3yj5+0NtLDXUwL9D4FjQYBOrt3eY9/d7v67/RxoB1U0IEsnevrFXcNs1Kh3C0tFDufFlEUeuV84l[/tex]，求[tex=2.571x1.143]r5Haq7W1lVGBc4dFEM2Zk1W3v8ag3hQ/jxq8jI47ovMRWPbY5eGp58IqJCI62D0L[/tex]、[tex=2.571x1.143]jyWvUwiZHYocudv3dZ40u3PiCE6YmHjBoAEA/VHQYKI=[/tex]、[tex=3.571x1.143]Uj9WGbTLOm+tIC5hyi5Kpj7E/Dz3NFHyDtRpARrYS6yN8KCQQyGLDgaFdBL1IeUR[/tex]。
设[tex=5.071x2.929]4HdNp+8uldlFnb2+0zUGRQq/7Jg8Ta9erROPR5Gqz6qxRd/CDPYTIg7V+VvIOzNg5SfWylstHmdnExX9ZzWKpPJcLwSlimkahGMueO6N3UI=[/tex]，[tex=5.0x2.929]wK/tDmUX/6mGW6f2tpIfaiyLL6LI5xMoCjyiGBCdFg/TOVahBAV/fJu+wnqxT4jsqUo1pOXQQ1RDcPzA3KVmD+A/j3GhwiVk6zPURZjvGe4=[/tex]，当a，b为何值时，存在矩阵C使得[tex=6.571x1.286]G/wVuF89pjkYYi4C89r9B0rrgFud0+LxhLPkilic9IV/E9yhXo6Gf1qa5aboiawxrMW0PGT7/0fiHr9nFUIuUA==[/tex]，并求所有矩阵C。
设[tex=5.071x2.929]4HdNp+8uldlFnb2+0zUGRQq/7Jg8Ta9erROPR5Gqz6qxRd/CDPYTIg7V+VvIOzNg5SfWylstHmdnExX9ZzWKpPJcLwSlimkahGMueO6N3UI=[/tex]，[tex=5.0x2.929]wK/tDmUX/6mGW6f2tpIfaiyLL6LI5xMoCjyiGBCdFg/TOVahBAV/fJu+wnqxT4jsqUo1pOXQQ1RDcPzA3KVmD+A/j3GhwiVk6zPURZjvGe4=[/tex]，当a，b为何值时，存在矩阵C使得[tex=6.571x1.286]G/wVuF89pjkYYi4C89r9B0rrgFud0+LxhLPkilic9IV/E9yhXo6Gf1qa5aboiawxrMW0PGT7/0fiHr9nFUIuUA==[/tex]，并求所有矩阵C。
设矩阵[tex=8.929x4.214]4HdNp+8uldlFnb2+0zUGRZpWMiC6LJlrizg2rAM2YkYeL7ogK2QK4sjDe9gS98VOvP0zOalQPslR14HhEa+/wCJvJrsYvxxBIaf4oVQzhUwj+lLKSmsUDnNu5vdSmC04sTaend2emWdJlaoJ+ODvG4iRP9CkFcLslZQUGhRrHWaVvWHGOpwBteeDF3a5d6jENL8Z+htESrRmja1+B3DSzQ==[/tex]相似与矩阵[tex=7.714x4.214]wK/tDmUX/6mGW6f2tpIfaiHdmphAsRy/CiVjv5pMAT/WYIm1k312z92k806Bl73i9nFMb1LVVj5Xr1v2741Ry9R0wjfRn+2t9SAS5B3cLHAlqEnwVVt+W9SRDtKkcZngQA6paMgN3qTILW2Zj8j/ZHz9zdloBDp2+1wrrrpHkku3GskG7dG7RsYt3aMUpg9wJO7PmvZyUENB9rSC0Y9ALA==[/tex]，(I)求[tex=1.429x1.286]+fmtub6g+tF54Tl5ap2zBg==[/tex]的值；(II)求可逆矩阵[tex=0.786x1.286]9wg+6a7IACk0JLAiQsDfSw==[/tex]，使[tex=3.5x1.286]S/RTnKAtWmzhhpxNqEOvRLfbrSLY5b9PJVPoUf3hJys=[/tex]为对角矩阵。(本题满分11分)
设矩阵[tex=8.929x4.214]4HdNp+8uldlFnb2+0zUGRZpWMiC6LJlrizg2rAM2YkYeL7ogK2QK4sjDe9gS98VOvP0zOalQPslR14HhEa+/wCJvJrsYvxxBIaf4oVQzhUwj+lLKSmsUDnNu5vdSmC04sTaend2emWdJlaoJ+ODvG4iRP9CkFcLslZQUGhRrHWaVvWHGOpwBteeDF3a5d6jENL8Z+htESrRmja1+B3DSzQ==[/tex]相似与矩阵[tex=7.714x4.214]wK/tDmUX/6mGW6f2tpIfaiHdmphAsRy/CiVjv5pMAT/WYIm1k312z92k806Bl73i9nFMb1LVVj5Xr1v2741Ry9R0wjfRn+2t9SAS5B3cLHAlqEnwVVt+W9SRDtKkcZngQA6paMgN3qTILW2Zj8j/ZHz9zdloBDp2+1wrrrpHkku3GskG7dG7RsYt3aMUpg9wJO7PmvZyUENB9rSC0Y9ALA==[/tex]，(I)求[tex=1.429x1.286]+fmtub6g+tF54Tl5ap2zBg==[/tex]的值；(II)求可逆矩阵[tex=0.786x1.286]9wg+6a7IACk0JLAiQsDfSw==[/tex]，使[tex=3.5x1.286]S/RTnKAtWmzhhpxNqEOvRLfbrSLY5b9PJVPoUf3hJys=[/tex]为对角矩阵。(本题满分11分)
设[tex=5.071x2.929]4HdNp+8uldlFnb2+0zUGRQq/7Jg8Ta9erROPR5Gqz6qxRd/CDPYTIg7V+VvIOzNg5SfWylstHmdnExX9ZzWKpPJcLwSlimkahGMueO6N3UI=[/tex],[tex=5.0x2.929]wK/tDmUX/6mGW6f2tpIfaiyLL6LI5xMoCjyiGBCdFg/TOVahBAV/fJu+wnqxT4jsqUo1pOXQQ1RDcPzA3KVmD+A/j3GhwiVk6zPURZjvGe4=[/tex], 当 [tex=1.429x1.286]+fmtub6g+tF54Tl5ap2zBg==[/tex] 为何值时，存在矩阵 [tex=0.857x1.286]8SPdC3cgwrR8itn7k6axzQ==[/tex] 使得 [tex=6.571x1.286]G/wVuF89pjkYYi4C89r9B0rrgFud0+LxhLPkilic9IV/E9yhXo6Gf1qa5aboiawxrMW0PGT7/0fiHr9nFUIuUA==[/tex], 并求所有矩阵 [tex=0.857x1.286]8SPdC3cgwrR8itn7k6axzQ==[/tex]。（本题满分11分）
设[tex=5.071x2.929]4HdNp+8uldlFnb2+0zUGRQq/7Jg8Ta9erROPR5Gqz6qxRd/CDPYTIg7V+VvIOzNg5SfWylstHmdnExX9ZzWKpPJcLwSlimkahGMueO6N3UI=[/tex],[tex=5.0x2.929]wK/tDmUX/6mGW6f2tpIfaiyLL6LI5xMoCjyiGBCdFg/TOVahBAV/fJu+wnqxT4jsqUo1pOXQQ1RDcPzA3KVmD+A/j3GhwiVk6zPURZjvGe4=[/tex], 当 [tex=1.429x1.286]+fmtub6g+tF54Tl5ap2zBg==[/tex] 为何值时，存在矩阵 [tex=0.857x1.286]8SPdC3cgwrR8itn7k6axzQ==[/tex] 使得 [tex=6.571x1.286]G/wVuF89pjkYYi4C89r9B0rrgFud0+LxhLPkilic9IV/E9yhXo6Gf1qa5aboiawxrMW0PGT7/0fiHr9nFUIuUA==[/tex], 并求所有矩阵 [tex=0.857x1.286]8SPdC3cgwrR8itn7k6axzQ==[/tex]。（本题满分11分）