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4.3 代数
4.3.1 二项式公式、多项式公式和因式分解
表1-4-3 二项式公式、多项式公式和因式分解
![](https://epubservercos.yuewen.com/F3E36B/16499763104627206/epubprivate/OEBPS/Images/image002815.jpg?sign=1738867761-i5yjFnBiGGMsrLo7z4K2fCR4pGhJQOfw-0-d6f8f1ed2b8848a305bd09543bb0a05b)
4.3.2 指数和根式
表1-4-4 指数和根式
![](https://epubservercos.yuewen.com/F3E36B/16499763104627206/epubprivate/OEBPS/Images/image002821.jpg?sign=1738867761-XAD1l9c7m1GVds1F20rxsUqAQ6NPoSep-0-345b95dd7994fbba1564f862a669eba9)
4.3.3 对数
表1-4-5 对数
![](https://epubservercos.yuewen.com/F3E36B/16499763104627206/epubprivate/OEBPS/Images/image002827.jpg?sign=1738867761-5BojbHKwjm8UGOVTRknvs0TZt24DhuBZ-0-d1324a51a4a8f0f5dd56fdb510e47533)
4.3.4 不等式
表1-4-6 不等式
![](https://epubservercos.yuewen.com/F3E36B/16499763104627206/epubprivate/OEBPS/Images/image002833.jpg?sign=1738867761-TRrJ8n439bfJOgSP8bGRcgWbILFucvp1-0-86d0fb6b50c4ec8a9d6dc4f7d5f03db0)
4.3.5 代数方程
表1-4-7 代数方程
![](https://epubservercos.yuewen.com/F3E36B/16499763104627206/epubprivate/OEBPS/Images/image002839.jpg?sign=1738867761-tadELnXD3ZoU1W79xDu8mxFFmF53t6hB-0-87db5631cfb85e40ba8c618eb7eb8c37)
4.3.6 级数
表1-4-8 级数
![](https://epubservercos.yuewen.com/F3E36B/16499763104627206/epubprivate/OEBPS/Images/image002845.jpg?sign=1738867761-XjtXRudYJpp2Y6TUPPSkRuFHi5pjgTzH-0-7e56be519639b0b47b1a75827b8877ed)
![](https://epubservercos.yuewen.com/F3E36B/16499763104627206/epubprivate/OEBPS/Images/image002851.jpg?sign=1738867761-khfxY5TpeWPoaE47bItqA7kWDcqPd49m-0-6be6da24cb381dc47b423b4df026fdf7)
4.3.7 傅里叶级数
表1-4-9 傅里叶级数
![](https://epubservercos.yuewen.com/F3E36B/16499763104627206/epubprivate/OEBPS/Images/image002857.jpg?sign=1738867761-4EEZJWrXgXidEeEADv978QFzTZYjG192-0-bc4e0f53e21e8e4f9885f975673fecb4)
4.3.8 行列式
表1-4-10 行列式
![](https://epubservercos.yuewen.com/F3E36B/16499763104627206/epubprivate/OEBPS/Images/image002863.jpg?sign=1738867761-V73oP40nJ7WHQjcipdGdGpNb44A9zRyL-0-ffaaf88b3279deadb6db4e8ced06d89d)
![](https://epubservercos.yuewen.com/F3E36B/16499763104627206/epubprivate/OEBPS/Images/image002869.jpg?sign=1738867761-v8LQKwoZwBdLCqD7C7rzSjCAQAI8gK7n-0-3195d9ec722db28e5428ede08b7494d7)
4.3.9 矩阵
表1-4-11 矩阵的概念
![](https://epubservercos.yuewen.com/F3E36B/16499763104627206/epubprivate/OEBPS/Images/image000006.jpg?sign=1738867761-PS3TrzgWnGlVKVo6rQaAIYLRZGXuyQX1-0-31070cf17d289caa510e54610226ad43)
![](https://epubservercos.yuewen.com/F3E36B/16499763104627206/epubprivate/OEBPS/Images/image000012.jpg?sign=1738867761-nisoz1qQTXaVTNQEll5W1D2Qn5vbxNRY-0-a24300947c358e1817121355dea78588)
表1-4-12 矩阵运算及其性质
![](https://epubservercos.yuewen.com/F3E36B/16499763104627206/epubprivate/OEBPS/Images/image000018.jpg?sign=1738867761-Kr0Y4dPbC27G130VXK7VuzTDTEtKwcds-0-4fc3d969bc703ff0aa6d302f8f1e85c4)
![](https://epubservercos.yuewen.com/F3E36B/16499763104627206/epubprivate/OEBPS/Images/image000024.jpg?sign=1738867761-fJUWEJZIFldW63vQUaI2yGjoL0gFqtfV-0-72e191ecddc1afd96430a20026d176c2)
表1-4-13 矩阵运算性质与数的运算性质比较
![](https://epubservercos.yuewen.com/F3E36B/16499763104627206/epubprivate/OEBPS/Images/image000030.jpg?sign=1738867761-IFUxuVxrA6rtWjxV7O7eEHI3BsaEnTfS-0-826ffbbc77a8907abb059c84fb8cc942)
表1-4-14 分块矩阵及其运算
![](https://epubservercos.yuewen.com/F3E36B/16499763104627206/epubprivate/OEBPS/Images/image000036.jpg?sign=1738867761-MSszej0oc22ufC6ZNzi5svaTYDYiO2pX-0-328bffdeea0616f8f4d16789992654aa)
表1-4-15 方阵的行列式和代数余子式
![](https://epubservercos.yuewen.com/F3E36B/16499763104627206/epubprivate/OEBPS/Images/image000042.jpg?sign=1738867761-IAJWxJTLC212WYQpffwNzl4bUx8djYWF-0-20e07692f52804cd650dab7502a5cecd)
表1-4-16 非奇异矩阵、正交矩阵、伴随矩阵
![](https://epubservercos.yuewen.com/F3E36B/16499763104627206/epubprivate/OEBPS/Images/image000048.jpg?sign=1738867761-ZZ9yGLgHDgkwlxOnHwhZGgW3T9GtC0hI-0-0f25f2a6cc737af0fd98f44db50934fa)
表1-4-17 矩阵的初等变换
![](https://epubservercos.yuewen.com/F3E36B/16499763104627206/epubprivate/OEBPS/Images/image000054.jpg?sign=1738867761-GjaV9wATW6tWF8lZ5CWdMbsmt0ZH0xzn-0-f24b64839ac7fcce08d8d4518ceec681)
表1-4-18 初等矩阵及其与初等变换的关系
![](https://epubservercos.yuewen.com/F3E36B/16499763104627206/epubprivate/OEBPS/Images/image000060.jpg?sign=1738867761-gw9cWtE1MgHkbwoyCXyU3ZoZqSUqAWy2-0-0702816eef5c8b935acee6ffe27e93a8)
注: 若矩阵B可由矩阵A经过有限次初等变换得到,则称矩阵B与A等价。
表1-4-19 矩阵的秩
![](https://epubservercos.yuewen.com/F3E36B/16499763104627206/epubprivate/OEBPS/Images/image000072.jpg?sign=1738867761-uJHT0qprQbbERo4NjkFkjJlVvx9RdcA9-0-0b63003d2ce062eac143473899c07de5)
表1-4-20 逆矩阵的计算
![](https://epubservercos.yuewen.com/F3E36B/16499763104627206/epubprivate/OEBPS/Images/image000078.jpg?sign=1738867761-1uouqVXCFtZfrZEHJ03ObqUVtmcpdZa5-0-2248e8d6691b85ca908785dfebdff883)
4.3.10 线性方程组
含有n个未知量,m个一次方程的方程组
称为n元线性方程组,其中aij(i=1,2,…,m;j=1,2,…,n)称系数bi(i=1,2,…,m)称常数项。
表1-4-21 线性方程组
![](https://epubservercos.yuewen.com/F3E36B/16499763104627206/epubprivate/OEBPS/Images/image000090.jpg?sign=1738867761-fC2yr0Fp3rOf4vcmmE1yPj2OPrVpWplM-0-eadf17b6f6e29128eeb2925647e668f0)