├── .DS_Store ├── README.md ├── xqh-二次型的化简与矩阵的合同.pdf ├── xqh-基变换与过渡矩阵.pdf ├── xqh-子空间.pdf ├── xqh-正定型与正定矩阵.pdf ├── xqh-线性映射.pdf └── xqh-线性空间 向量间的线性关系.pdf /.DS_Store: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/liigoQi/FDU_QihongXie_Advanced_Algebra/d64472260be9b5500bf5eda805c3a81608e9152a/.DS_Store -------------------------------------------------------------------------------- /README.md: -------------------------------------------------------------------------------- 1 | # FDU_QihongXie_Advanced_Algebra 2 | 复旦大学谢启鸿老师的高等代数学手写笔记 3 | 4 | [课程视频](https://www.bilibili.com/video/BV1mJ411r7ZB) 5 | 6 | ## 内容导览 7 | - xqh-线性空间 向量间的线性关系 8 | - 3.3 线性空间 9 | - 3.4 向量间的线性关系 10 | - xqh-基变换与过渡矩阵 11 | - 3.8 基变换与过渡矩阵 12 | - 对比：过渡矩阵和线性映射的表示矩阵 13 | - xqh-子空间 14 | - 3.9 子空间 15 | - xqh-线性映射 16 | - 4.1、4.2 线性映射 17 | - 4.3 线性映射的矩阵表示 18 | - 4.4 线性映射的像与核 19 | - 对比：过渡矩阵和线性映射的表示矩阵 20 | - xqh-二次型的化简与矩阵的合同 21 | - 8.1 二次型的化简与矩阵的合同 22 | - 8.2 二次型的化简 23 | - 8.3 惯性定理 24 | - xqh-正定型与正定矩阵 25 | - 8.4 正定型与正定矩阵 26 | -------------------------------------------------------------------------------- /xqh-二次型的化简与矩阵的合同.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/liigoQi/FDU_QihongXie_Advanced_Algebra/d64472260be9b5500bf5eda805c3a81608e9152a/xqh-二次型的化简与矩阵的合同.pdf -------------------------------------------------------------------------------- /xqh-基变换与过渡矩阵.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/liigoQi/FDU_QihongXie_Advanced_Algebra/d64472260be9b5500bf5eda805c3a81608e9152a/xqh-基变换与过渡矩阵.pdf -------------------------------------------------------------------------------- /xqh-子空间.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/liigoQi/FDU_QihongXie_Advanced_Algebra/d64472260be9b5500bf5eda805c3a81608e9152a/xqh-子空间.pdf -------------------------------------------------------------------------------- /xqh-正定型与正定矩阵.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/liigoQi/FDU_QihongXie_Advanced_Algebra/d64472260be9b5500bf5eda805c3a81608e9152a/xqh-正定型与正定矩阵.pdf -------------------------------------------------------------------------------- /xqh-线性映射.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/liigoQi/FDU_QihongXie_Advanced_Algebra/d64472260be9b5500bf5eda805c3a81608e9152a/xqh-线性映射.pdf -------------------------------------------------------------------------------- /xqh-线性空间 向量间的线性关系.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/liigoQi/FDU_QihongXie_Advanced_Algebra/d64472260be9b5500bf5eda805c3a81608e9152a/xqh-线性空间 向量间的线性关系.pdf --------------------------------------------------------------------------------