Comments (3)
Visualize-ML
commented on May 30, 2024
是不是忽略了等式，lambda_1 * lambda_2 = ac - b^2。
…On Sat, Aug 12, 2023 at 12:23 PM 封与疯 ***@***.***> wrote:
问题段落:
[image: image]
<https://user-images.githubusercontent.com/69034009/260242634-3f33ac35-38e8-4577-a20b-25dec7c6b31b.png>
论证过程:
又 Page 17 中
[image: image]
<https://user-images.githubusercontent.com/69034009/260242077-291a4a42-cb96-4d6d-bfb6-8332fdf65f03.png>
当A的行列式值大于0 ,即ac > (b的平方) >=0,也就是说,ac>0
又 Page 5 中
[image: image]
<https://user-images.githubusercontent.com/69034009/260242380-beb1de32-6d8c-4af7-b306-1a96446ee372.png>
[image: image]
<https://user-images.githubusercontent.com/69034009/260242391-477d3770-759f-4ece-9779-90175ee6bc90.png>
[image: image]
<https://user-images.githubusercontent.com/69034009/260242416-5f274ba1-45c3-4fbe-bc41-0e1c607db27d.png>
可以得到,A的两个特征值( a 和 c )同号
进一步得到,A正定或负定
但如果按照第一张图中划线部分来推论的话,
可以得到, ac>0
但是无法进一步得到 |A| >0
*当 (b的平方)大于ac 时,划线原文不成立*
当然,不排除我学艺不精,闹了笑话的可能,所以标题没有直接断言是错误
—
Reply to this email directly, view it on GitHub
<#82>, or
unsubscribe
<https://github.com/notifications/unsubscribe-auth/AZHC6V7C5YMBNJFFULNV7Y3XU6UZJANCNFSM6AAAAAA3OA7G74>
.
You are receiving this because you are subscribed to this thread.Message
ID: ***@***.***>
from book4_power-of-matrix.
lgr1230
commented on May 30, 2024
好的,确实是我的问题
我学艺不精, 错将矩阵A的主对角线上的元素（ａ和ｃ）,不假思索地当成了其特征值
翻阅之后,找到了相关知识点, 在本书 13.3 处,提到了:
矩阵A的行列式值 = 矩阵A对应的特征值矩阵 的行列式值
而特征值矩阵是对角矩阵,且所有特征值依次落于其主对角线上
也就是说，
如果矩阵A能进行特征值分解，则A的行列式值等于A的所有特征值之积
感谢解惑
from book4_power-of-matrix.
Visualize-ML
commented on May 30, 2024
闻道有先后！大家一起进步。
祝好
…On Sun, Aug 13, 2023 at 10:50 AM 封与疯 ***@***.***> wrote:
Closed #82
<#82> as
completed.
—
Reply to this email directly, view it on GitHub
<#82 (comment)>,
or unsubscribe
<https://github.com/notifications/unsubscribe-auth/AZHC6V6NEST7RMLIQJEUFB3XVDSR5ANCNFSM6AAAAAA3OA7G74>
.
You are receiving this because you commented.Message ID:
<Visualize-ML/Book4_Power-of-Matrix/issue/82/issue_event/10080043100@
github.com>
from book4_power-of-matrix.
Related Issues (20)
- ch13_p23 少了一个字
- 第一章 47 页脚标是不有问题
- Ch14_p10_Eq. (41) (42) 表述问题 HOT 1
- Ch17_p5_Eq. (8) 文字描述中格式错误 HOT 4
- Ch18_p4_p5 一些细节问题 HOT 4
- Ch18_p.15 Fig. 13(a) 标注错误 HOT 1
- Ch18_p17. Eq. (22) KKT条件 极小值标注 HOT 1
- Ch18_p20. Eq. (43) - (45) 第四个优化问题求解过程 HOT 2
- Ch19_p17_Fig.15 补充描述 HOT 1
- Ch20_p27_Eq. (82) 切向量推导过程 HOT 2
- Ch21_p17 Eq. (49) 偏微分下标
- Ch21_p18 Fig. 11-14 举例时没有把函数解析式给出来 HOT 1
- C22_p4 Eq.(1) 随机变量notation HOT 1
- C22_p7 \mu_X 下标显示问题 HOT 1
- C23_p14 Eq.(16) typo HOT 1
- C23_p16 一处表达不清 HOT 1
- C24_p12 U V 列向量 / 行向量 下标 HOT 1
- C25_p16 typo HOT 1
- formula erro
- 图文中标号小错误
Recommend Projects
-
React
A declarative, efficient, and flexible JavaScript library for building user interfaces.
-
Vue.js
🖖 Vue.js is a progressive, incrementally-adoptable JavaScript framework for building UI on the web.
-
Typescript
TypeScript is a superset of JavaScript that compiles to clean JavaScript output.
-
TensorFlow
An Open Source Machine Learning Framework for Everyone
-
Django
The Web framework for perfectionists with deadlines.
-
Laravel
A PHP framework for web artisans
-
D3
Bring data to life with SVG, Canvas and HTML. 📊📈🎉
-
Recommend Topics
-
javascript
JavaScript (JS) is a lightweight interpreted programming language with first-class functions.
-
web
Some thing interesting about web. New door for the world.
-
server
A server is a program made to process requests and deliver data to clients.
-
Machine learning
Machine learning is a way of modeling and interpreting data that allows a piece of software to respond intelligently.
-
Visualization
Some thing interesting about visualization, use data art
-
Game
Some thing interesting about game, make everyone happy.
Recommend Org
-
Facebook
We are working to build community through open source technology. NB: members must have two-factor auth.
-
Microsoft
Open source projects and samples from Microsoft.
-
Google
Google ❤️ Open Source for everyone.
-
Alibaba
Alibaba Open Source for everyone
-
D3
Data-Driven Documents codes.
-
Tencent
China tencent open source team.
from book4_power-of-matrix.