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mit-18.06-linalg-notes's Introduction

MIT 18.06 线性代数笔记

课程:麻省理工公开课:线性代数

作者:子实

通过代码行数衡量开发进程就好比用重量来衡量飞机制造进度。——比尔·盖茨

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mit-18.06-linalg-notes's Issues

发现个错别字

第二章中如下句话:

失败: 举着的主元有至少一个 0,也就是说,不可逆矩阵。

应该是矩阵而不是举着

第三讲:乘法和逆矩阵 用例计算失误

您好!在学习过程中发现《第三讲:乘法和逆矩阵》有一处用例计算失误,具体位置在“逆(方阵)”一节第7行,原文如下:

另一种判定方法,如果存在非零向量,使得,则矩阵不可逆。我们来用上面的矩阵为例:

应改为

在此非常感谢您的付出!

有乱码问题

第六章的2.2.1 P∪L 空间

还是讨论上面𝑅 3 的子空间 P 与 L,首先要研究的就是它们的并空间,即:现有一集合,包含了 P 与 L 中的所有向量,那么这个集合是子空间吗?

正方形这个是乱码吧

请问什么是向量?

在第一节看到这个概念:

系数矩阵(A): 将方程组系数按行提取出来,构造完成的一个矩阵。
未知向量(x): 将方程组的未知数提取出来,按列构成一个向量。
向量(b): 将等号右侧结果按列提取,构成一个向量。

想请教一下在这里向量是什么?

笔误

03-乘法和逆矩阵--》2矩阵乘法--》2.1矩阵乘法最常见的求解方式
$$
C_{34}=\sum_{k=1}^na_{3k}b_{k4} \quad = a_{31}b_{14} + a_{32}b_{24} + a_{33}b_{44} + \cdots
$$
最后一个笔误,应该是
$$
C_{34}=\sum_{k=1}^na_{3k}b_{k4} \quad = a_{31}b_{14} + a_{32}b_{24} + a_{33}b_{34} + \cdots
$$

第三讲:乘法和逆矩阵

正文第四行,“A的总行数必须与B的总列数相等”,应该改为“A的总列数必须与B的总行数相等”

第三讲:乘法和逆矩阵

逆(方阵)
第七行,“如果A乘以任意非零向量能够得到0向量,则矩阵A不可逆”,应该改为“如果存在非零向量x,使得Ax=0,则矩阵A不可逆”

Chapter 16

则其对应的零空间中仅有零空间(仅有零向量)

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