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LSE MA100期末复习讲义 | 行列式为零就无解

  • 2026-11-01 12:40:12

LSE MA100期末复习讲义 | 行列式为零就无解

MA100复习时，有一类卡点值得单独检查：计算做完了，结论却跳了一步。

比如方阵行列式为零，只能先说明矩阵不可逆。给定右端的方程组可能无解，也可能有无穷多解，要继续看消元结果和秩。
重特征值不等于不能对角化；求到驻点或Lagrange候选，也还要按条件继续验证。

这篇用一个原创参数方程组，把唯一解、无穷多解、无解分开说明，再配对应讲义样张，帮助你检查“为什么能得出这个结论”。


#LSE #MA100 #伦敦政治经济学院 #数学方法 #线性代数 #期末复习 #稳过留学

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【期中试卷】山西省2026-2027学年上学期期中评估九年级试卷+答案

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  1. CONNECT:[ UseTime:0.000535s ] mysql:host=172.18.0.4;port=3306;dbname=www_sjds;charset=utf8mb4
  2. SHOW FULL COLUMNS FROM `fenlei` [ RunTime:0.000803s ]
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  7. SHOW FULL COLUMNS FROM `article` [ RunTime:0.000640s ]
  8. SELECT * FROM `article` WHERE `id` = 531409 LIMIT 1 [ RunTime:0.000348s ]
  9. UPDATE `article` SET `lasttime` = 1793542058 WHERE `id` = 531409 [ RunTime:0.001110s ]
  10. SELECT * FROM `fenlei` WHERE `id` = 65 LIMIT 1 [ RunTime:0.000285s ]
  11. SELECT * FROM `article` WHERE `id` < 531409 ORDER BY `id` DESC LIMIT 1 [ RunTime:0.000414s ]
  12. SELECT * FROM `article` WHERE `id` > 531409 ORDER BY `id` ASC LIMIT 1 [ RunTime:0.000353s ]
  13. SELECT * FROM `article` WHERE `id` < 531409 ORDER BY `id` DESC LIMIT 10 [ RunTime:0.000672s ]
  14. SELECT * FROM `article` WHERE `id` < 531409 ORDER BY `id` DESC LIMIT 10,10 [ RunTime:0.000538s ]
  15. SELECT * FROM `article` WHERE `id` < 531409 ORDER BY `id` DESC LIMIT 20,10 [ RunTime:0.000620s ]
0.083860s