同阶实对称矩阵[tex=2.0x1.286]cdFQTIcX/k6W15SnnVIOSQ==[/tex]合同的充分必要条件是[input=type:blank,size:6][/input] .
未知类型：{'options': ['[tex=5.786x1.286]g8SwOoc3mjjpDvp+UxwKlmKIyJYBt/w89p9ioRDdWtw=[/tex]', '[tex=2.0x1.286]cdFQTIcX/k6W15SnnVIOSQ==[/tex]为同型矩阵', '[tex=2.0x1.286]cdFQTIcX/k6W15SnnVIOSQ==[/tex]的秩与正惯性指数都对应相等', '[tex=2.0x1.286]cdFQTIcX/k6W15SnnVIOSQ==[/tex]的正惯性指数相等'], 'type': 102}
未知类型：{'options': ['[tex=5.786x1.286]g8SwOoc3mjjpDvp+UxwKlmKIyJYBt/w89p9ioRDdWtw=[/tex]', '[tex=2.0x1.286]cdFQTIcX/k6W15SnnVIOSQ==[/tex]为同型矩阵', '[tex=2.0x1.286]cdFQTIcX/k6W15SnnVIOSQ==[/tex]的秩与正惯性指数都对应相等', '[tex=2.0x1.286]cdFQTIcX/k6W15SnnVIOSQ==[/tex]的正惯性指数相等'], 'type': 102}
举一反三
- 设[tex=2.0x1.286]cdFQTIcX/k6W15SnnVIOSQ==[/tex]是[tex=0.643x1.286]ZsZs11iKEvfmzDIurZth8g==[/tex]阶方阵，且[tex=5.786x1.286]g8SwOoc3mjjpDvp+UxwKlmKIyJYBt/w89p9ioRDdWtw=[/tex]，则正确的是[input=type:blank,size:6][/input] . 未知类型：{'options': ['[tex=6.0x1.286]uT60fd3iTh3Cb0usaDNoWpVPAEKezd55b2DG5kI6kS4=[/tex]', '[tex=8.214x1.286]UjPR5vmYvABrZ+plCC6qBWfhfHN/toiy7hP5ZybHvQU=[/tex]', '[tex=8.214x1.286]IkA4G4ihMbb2iNZKyn/eihJfGfrq0WYtzVJVmzFbYws=[/tex]', '[tex=11.143x1.286]8yg3SxXjDJ8EDUlBLqEszERGAGhJRJw8wz16BkNIjmN17SoyLMSIbTt5Szsj6w+r[/tex]'], 'type': 102}
- 设[tex=2.0x1.286]cdFQTIcX/k6W15SnnVIOSQ==[/tex]为同阶对称矩阵，则下列结论中不正确的是[input=type:blank,size:6][/input] . 未知类型：{'options': ['[tex=2.714x1.286]HqIzVk/FgrqCQ/miBSp3sA==[/tex]也是对称矩阵', '[tex=1.571x1.286]cHJ4KDAad01mWuGaiQQpfA==[/tex]也是对称矩阵', '[tex=4.143x1.286]4dNstrEO5SrY9Vx3vH1DNSwdl6C2OGg7J2yuAMxhmBM=[/tex]（[tex=0.857x1.286]VtHyCG+ZQg7fAIyRU+W9ow==[/tex]为正整数）也是对称矩阵', '[tex=5.429x1.286]HADq+tNK5GwsMk1x8KZJs3wpAw6M18PJvuNQqoVPof0=[/tex]也是对称矩阵'], 'type': 102}
- 设[tex=2.0x1.286]cdFQTIcX/k6W15SnnVIOSQ==[/tex]均为正定矩阵，证明[tex=5.0x2.786]075gCzZzsMRb6HYXYk9X92zk8W4u1qJBIO8aFf+ZsZxwp/haXQ2S0bij0nON3lddoX4sG6nvdaxHgFoCKqduPw==[/tex]为正定矩阵 .
- 设三阶矩阵[tex=2.0x1.286]cdFQTIcX/k6W15SnnVIOSQ==[/tex]满足[tex=6.5x1.286]fKMuxXvMmkhZ6KBFJApU0RzCv0uzUPjL4nc3K7Aig7k=[/tex]，证明：[tex=3.214x1.286]CxRh2MuWfyX9bh9PvBg47Q==[/tex]可逆 .
- 设[tex=2.0x1.286]cdFQTIcX/k6W15SnnVIOSQ==[/tex]为[tex=0.643x1.286]ZsZs11iKEvfmzDIurZth8g==[/tex]阶可逆方阵，则下列等式[input=type:blank,size:6][/input]是错误的 . 未知类型：{'options': ['[tex=7.429x1.429]ZTbiE9Y0ln8So02J2X7smkTz/PgJS9VvpDAl2g7eDKe4gUsAKaYJSvvmmdwi991cMhzFu4GWOcwilAu2g8olqg==[/tex]', '[tex=10.214x1.286]04xA38H7ZVpgg5WrFSMT4c+yjNPApMmkB0rqDvrzHE6AckU+38dJ7SukdONxO1iB0rsStCQG3JPOtjULccUW+btakBj3/UEtJt6Oh2Iz4jU=[/tex]', '[tex=10.571x1.286]28EdYWOVyrJG8r1hi/1Mc5lk2MX3V4h/B2YuW1ABHAap6J2G1MEnV2RRJxoh8pUQ[/tex]', '[tex=6.0x1.286]hm4++QrJQp91sVYV7ruRyhFZzMJEHI5UdUekobEg1A6FpDS5M/s6oj7+Oc9l5cKf[/tex]'], 'type': 102}