Professional title:教师
Company:嘉应学院
Department:数学学院
Main Teacher:李娟 钟梅 张纬民 巫伟亮 杨帆
Teacher team:5in total
College: | 嘉应学院 |
Faculty: | 数学学院 |
person in charge: | 李娟 |
Credit: | 5 |
《高等代数》课程是数学与应用数学专业必修的基础课,它是与《数学分析》、《解析几何》从第一学期同时开设的三大基础课之一。 本门课程主要由多项式理论与线性代数两部分组成。多项式代数是以数域上一元多项式的因式分解存在唯一性为中心的理论体系;线性代数则以矩阵、线性空间、代数型为研究对象,主要讲授行列式,线性方程组、矩阵、向量空间与线性变换、欧氏空间与酉空间、二次型。
《高等代数》第五版、ISBN 978-7-04-021465-9、张禾瑞 郝鈵新、高等教育出版社、2007年6月
Chapters | | File type | | Modified time | | Size | | Remark | |
1.1 数环与数域 |
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2023-11-06 | 19.56MB | ||
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2023-11-06 | 11.86MB | |||
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2023-12-04 | 444.66KB | |||
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2024-01-18 | 1.85GB | |||
2.1 一元多项式的定义和运算 |
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2023-11-06 | 857.19MB | ||
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2023-11-06 | 20.61MB | |||
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2023-11-06 | 15.11MB | |||
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2023-12-04 | 439.10KB | |||
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2024-01-18 | 1.86GB | |||
2.2 多项式的整除性 |
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2023-12-04 | 369.21KB | ||
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2024-01-19 | 551.89MB | |||
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2024-08-23 | 22.71MB | |||
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2024-08-23 | 988.61MB | |||
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2024-08-23 | 23.78MB | |||
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2024-08-23 | 14.09MB | |||
2.3 多项式的最大公因式 |
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2023-11-06 | 16.32MB | ||
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2023-11-06 | 18.75MB | |||
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2023-11-06 | 28.38MB | |||
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2023-11-06 | 15.97MB | |||
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2023-12-04 | 628.27KB | |||
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2024-08-25 | 726.19MB | |||
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2024-08-25 | 474.33MB | |||
2.4 多项式的分解 |
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2023-11-06 | 19.68MB | ||
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2023-11-06 | 26.52MB | |||
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2023-12-04 | 448.98KB | |||
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2024-08-25 | 973.91MB | |||
2.5 重因式 |
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2023-11-06 | 17.49MB | ||
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2023-12-04 | 357.56KB | |||
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2024-08-26 | 604.46MB | |||
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2024-08-26 | 547.02MB | |||
2.6 多项式函数 多项式的根 |
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2023-11-06 | 21.69MB | ||
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2023-11-06 | 13.82MB | |||
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2023-11-06 | 19.59MB | |||
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2023-12-04 | 531.15KB | |||
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2024-08-27 | 624.76MB | |||
2.7 复数和实数域上多项式 |
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2023-12-04 | 366.77KB | ||
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2024-08-28 | 828.38MB | |||
2.8 有理数域上多项式 |
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2023-11-06 | 919.59MB | ||
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2023-11-06 | 637.55MB | |||
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2023-11-06 | 20.68MB | |||
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2023-11-06 | 27.37MB | |||
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2023-11-06 | 14.19MB | |||
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2023-11-06 | 18.44MB | |||
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2023-12-04 | 848.55KB | |||
2.9 第2章主要内容总结与练习 |
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2023-10-08 | 463.10KB | |||
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2023-10-08 | 219.57KB | |||
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2023-11-29 | 904.53KB | |||
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2023-11-29 | 175.50KB | |||
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2023-12-04 | 105.38KB | |||
3.1 线性方程组和行列式 |
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2023-12-04 | 378.48KB | ||
3.2 排列 |
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2023-11-06 | 14.18MB | ||
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2023-12-04 | 304.91KB | |||
3.3 n阶行列式 |
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2023-11-06 | 29.75MB | ||
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2023-11-06 | 43.12MB | |||
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2023-12-04 | 515.86KB | |||
3.4 子式和代数余子式 行列式的依行依列展开 |
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2023-11-06 | 8.87MB | ||
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2023-11-06 | 35.83MB | |||
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2023-11-06 | 27.24MB | |||
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2023-12-04 | 373.68KB | |||
3.5 克拉默规则 |
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2023-11-06 | 18.43MB | ||
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2023-11-06 | 12.33MB | |||
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2023-12-04 | 426.50KB | |||
3.6 第3章主要内容总结与练习 |
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2022-09-08 | 286.84KB | ||
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2022-09-08 | 295.05KB | |||
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2023-12-04 | 164.44KB | |||
4.1 消元法 |
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2023-06-19 | 673.99MB | ||
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2023-06-19 | 9.20MB | |||
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2023-06-19 | 21.79MB | |||
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2023-06-19 | 15.79MB | |||
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2023-06-19 | 32.44MB | |||
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2023-12-04 | 566.95KB | |||
4.2 矩阵的秩 线性方程组可解的判别法 |
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2022-09-06 | 235.77MB | ||
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2023-12-04 | 497.22KB | |||
4.3 线性方程组的公式解 |
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2021-12-12 | 170.39MB | ||
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2023-12-04 | 550.00KB | |||
4.4 第4章主要内容总结与练习 |
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2021-12-05 | 283.18KB | ||
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2022-09-06 | 403.94MB | |||
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2022-09-08 | 299.37KB | |||
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2023-12-04 | 194.17KB | |||
5.1 矩阵的运算 |
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2021-12-12 | 171.45MB | ||
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2023-12-04 | 544.44KB | |||
5.2 可逆矩阵 矩阵乘积的行列式 |
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2021-12-14 | 16.78MB | ||
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2021-12-14 | 951.56MB | |||
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2023-12-04 | 695.68KB | |||
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2025-01-26 | 754.52MB | |||
5.3 矩阵的分块 |
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2023-12-04 | 359.92KB | ||
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2025-01-26 | 1.51GB | |||
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2025-01-26 | 761.71MB | |||
5.4 第5章主要内容总结与练习 |
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2021-12-05 | 229.81KB | ||
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2021-12-15 | 309.69KB | |||
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2023-12-04 | 641.42KB | |||
6.1 定义和例子 |
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2021-03-02 | 17.00KB | ||
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2021-11-14 | 1.97MB | |||
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2023-12-04 | 18.67MB | |||
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2023-12-04 | 18.62MB | |||
6.2 子空间 |
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2021-02-23 | 29.76MB | ||
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2021-03-02 | 22.00KB | |||
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2023-12-04 | 806.47KB | |||
6.3 向量的线性相关性 |
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2021-02-23 | 27.09MB | ||
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2021-02-23 | 10.10MB | |||
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2021-02-23 | 11.02MB | |||
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2023-12-04 | 3.22MB | |||
6.4 基和维数 |
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2021-02-23 | 23.83MB | ||
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2021-02-23 | 14.65MB | |||
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2021-02-23 | 17.85MB | |||
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2023-12-04 | 3.20MB | |||
6.5 坐标 |
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2021-02-23 | 9.52MB | ||
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2021-02-23 | 11.42MB | |||
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2021-02-23 | 12.22MB | |||
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2023-03-21 | 30.00KB | |||
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2023-12-04 | 2.43MB | |||
6.6 向量空间的同构 |
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2021-02-23 | 24.42MB | ||
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2021-02-23 | 23.92MB | |||
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2023-12-04 | 2.31MB | |||
6.7 矩阵的秩 齐次线性方程组的解空间 |
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2021-02-23 | 18.18MB | ||
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2021-02-23 | 21.37MB | |||
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2021-02-23 | 11.13MB | |||
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2023-12-04 | 2.98MB | |||
6.8 第六章主要内容的总结与练习 |
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2022-02-22 | 380.00KB | ||
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2023-05-08 | 456.87KB | |||
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2023-12-04 | 683.30KB | |||
7.1 线性映射 |
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2021-02-23 | 13.53MB | ||
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2021-02-23 | 15.52MB | |||
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2021-02-23 | 15.09MB | |||
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2023-12-04 | 460.67KB | |||
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2024-04-11 | 13.96KB | |||
7.2 线性变换的运算 |
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2021-02-23 | 12.07MB | ||
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2021-02-23 | 10.92MB | |||
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2021-03-02 | 23.64KB | |||
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2023-12-04 | 620.25KB | |||
7.3 线性变换和矩阵 |
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2021-02-24 | 18.63MB | ||
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2021-02-24 | 32.53MB | |||
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2021-02-24 | 16.94MB | |||
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2023-12-04 | 1.23MB | |||
7.4 不变子空间 |
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2021-02-24 | 14.02MB | ||
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2021-02-24 | 13.72MB | |||
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2021-03-02 | 87.09KB | |||
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2023-12-04 | 982.66KB | |||
7.5 本征值和本征向量 |
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2021-02-24 | 13.11MB | ||
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2021-02-24 | 31.31MB | |||
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2021-02-24 | 8.55MB | |||
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2023-12-04 | 508.37KB | |||
7.6 可以对角化的矩阵 |
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2021-02-25 | 32.71MB | ||
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2021-02-25 | 25.16MB | |||
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2021-02-25 | 12.37MB | |||
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2023-12-04 | 690.29KB | |||
7.7 第七章主要内容的总结与练习 |
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2022-02-22 | 335.79KB | ||
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2022-06-15 | 402.20KB | |||
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2023-05-24 | 186.35KB | |||
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2023-12-04 | 1.98MB | |||
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2024-02-26 | 459.68KB | |||
8.1 向量的内积 |
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2021-05-03 | 31.74MB | ||
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2021-05-03 | 26.46MB | |||
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2023-12-04 | 505.68KB | |||
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2024-05-08 | 60.48KB | |||
8.2 正交基 |
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2021-05-03 | 20.00MB | ||
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2021-05-03 | 24.64MB | |||
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2021-05-03 | 7.89MB | |||
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2021-05-03 | 7.19MB | |||
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2023-12-04 | 789.34KB | |||
8.3 正交变换 |
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2023-06-19 | 520.16MB | ||
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2023-06-19 | 17.80MB | |||
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2023-06-19 | 18.64MB | |||
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2023-12-04 | 355.45KB | |||
8.4 对称变换和对称矩阵 |
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2021-05-03 | 12.61MB | ||
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2021-05-03 | 9.72MB | |||
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2021-05-03 | 14.29MB | |||
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2021-05-03 | 10.18MB | |||
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2023-12-04 | 800.63KB | |||
8.5 第八章主要内容的总结与练习 |
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2022-02-27 | 302.17KB | ||
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2022-06-15 | 373.59KB | |||
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2023-12-04 | 914.68KB | |||
9.1 二次型和对称矩阵 |
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2023-12-04 | 467.15KB | ||
9.2 复数域和实数域上的二次型 |
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2021-03-02 | 58.17KB | ||
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2023-12-04 | 354.05KB | |||
9.3 正定二次型 |
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2021-03-02 | 71.79KB | ||
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2023-12-04 | 223.54KB | |||
9.4 主轴问题 |
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2023-11-06 | 664.15MB | ||
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2023-12-04 | 645.83KB | |||
9.5 第九章主要内容的总结与练习 |
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2022-06-15 | 309.38KB | ||
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2023-12-04 | 322.45KB | |||
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2023-12-04 | 239.37KB | |||
10.1 考研书籍和教案 |
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2023-09-08 | 13.81MB | ||
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2023-09-08 | 56.78MB | |||
10.2.1 华南师范大学 |
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2023-09-08 | 10.19MB | ||
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2023-09-08 | 13.01MB | |||
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2023-09-08 | 219.16KB | |||
10.2.2 广州大学 |
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2023-09-08 | 6.11MB | ||
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2023-09-08 | 1.91MB | |||
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2023-09-08 | 157.93KB | |||
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2023-09-08 | 1.01MB | |||
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2023-09-08 | 2.02MB | |||
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2023-09-08 | 1.71MB | |||
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2023-09-08 | 1.85MB | |||
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2023-09-08 | 1.83MB | |||
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2023-09-08 | 1.82MB | |||
10.2.3 广工、暨大 |
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2023-09-08 | 730.91KB | ||
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2023-09-08 | 618.94KB | |||
10.2.4 汕头大学 |
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2023-09-08 | 344.52KB | ||
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2023-09-08 | 368.63KB | |||
10.2.5 外省大学(苏州大学、中科院等)) |
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2023-09-08 | 119.73KB | ||
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2023-09-08 | 36.06KB | |||
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2023-09-08 | 196.59KB | |||
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2023-09-08 | 1.09MB | |||
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2023-09-08 | 96.44KB | |||
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2023-09-08 | 224.59KB | |||
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2023-09-08 | 190.26KB | |||
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2023-09-08 | 162.92KB | |||
10.2.6 35所高校历年考研真题(书籍) |
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2023-09-08 | 8.57MB | ||
10.3 师兄师姐分享 |
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2023-08-02 | 5.73MB | ||
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2023-08-02 | 3.30MB |