大数据的矩阵计算基础

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第1课面向小白的线性代数：矩阵基本知识，加减乘法，转置，行列式，秩，逆矩阵

第2课计算机派上用场：常用矩阵计算工具，Excel，R，Matlab，怎样使用软件书写矩阵公式

第3课了解直观背景是最好的学习方法：矩阵的代数意义，线性方程组，线性相关性

第4课从初中生的二元一次到高精专的n元一次：线性方程组详解，克莱姆法则

第5课任何东西只要画出图就解决了一大半：矩阵的几何意义，向量空间，基和维数，基变换

第6课向高维空间进发：向量空间进阶，线性变换

第7课抓住不变量是数学方法的本质所在：内积，正交矩阵，特征值和特征向量

第8课给曲面分类：二次型，正定对称矩阵，二次型的对角化

第9课从繁入简：矩阵分解，标准型

第10课走向机器学习：SVD分解及其应用

第11课回归分析的实质：广义逆矩阵及其应用

第12课矩阵技术在机器学习中的应用

第13课有100亿亿个元素的矩阵怎样存储：稀疏矩阵

第14课挑战Google的核心秘密Pagerank计算：大型矩阵计算的并行化

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