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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=1738833994-JWqWgsyv5XHb7A8jB9NuLAr2Ok4UesFl-0-44bd147d06e48cc38613ce7edc5a7e0d)
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=1738833994-u0m0MTibEnqX6OImu75ublyXqQ55GhVU-0-2908af13e23a665cd00f8715a2320eb3)
4.3.3 对数
表1-4-5 对数
![](https://epubservercos.yuewen.com/F3E36B/16499763104627206/epubprivate/OEBPS/Images/image002827.jpg?sign=1738833994-OghRzW2rqOkPJhHN61BBGq5fm5zia6Ie-0-cf1fda5eca31d3596ab7076d4e90329c)
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=1738833994-ynb3yD0EoBaQGp1pkxfVfUiF9VBaREth-0-b63c147bead01e08df7242b593d6a77e)
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=1738833994-0k6hMhijAs3FNcgdtitRPUJoPBWnbPGu-0-01430168e5bc9c19f4ee947f9af8a7af)
4.3.6 级数
表1-4-8 级数
![](https://epubservercos.yuewen.com/F3E36B/16499763104627206/epubprivate/OEBPS/Images/image002845.jpg?sign=1738833994-z9mWZ4epewAohqMOP55pCYyJEyCSBjBg-0-f4c59408aba367bf4bcc3f1a10c5de98)
![](https://epubservercos.yuewen.com/F3E36B/16499763104627206/epubprivate/OEBPS/Images/image002851.jpg?sign=1738833994-fRd1Utq6qXD6t8pzT249EJzrUAuWcDrN-0-b0540d576b5712e8af0fd9c7e40a1fbf)
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=1738833994-rj0RtHLSZjE3Brm0MLn9SsYmzrnqEerH-0-11a72b7e2aa0229fff6392a133e58c09)
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=1738833994-wACYMHcBby3y4ip2Y7MrVuJ0czHYYNmV-0-5bf12a7bc74b347266db9eedbce74c8a)
![](https://epubservercos.yuewen.com/F3E36B/16499763104627206/epubprivate/OEBPS/Images/image002869.jpg?sign=1738833994-Yy04g9jPIAAM80H8RXoyZUrO4XpCLB6r-0-330558dd821c1b8ae54c91177716178c)
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=1738833994-NWvEBuJ2tffB1awGASthwl1JOgwHWgPu-0-32fc252255d835ce2ea0ca204ff8f5bd)
![](https://epubservercos.yuewen.com/F3E36B/16499763104627206/epubprivate/OEBPS/Images/image000012.jpg?sign=1738833994-vRZ6FzFKiSIzEtJTiFL7oS6BQreZieKx-0-8d1b328deb7a193754e2cc358a3a00db)
表1-4-12 矩阵运算及其性质
![](https://epubservercos.yuewen.com/F3E36B/16499763104627206/epubprivate/OEBPS/Images/image000018.jpg?sign=1738833994-om1RoE7yDZC39T0ueRGGnNnvXvz1fIUq-0-89a8b19e550ff9e3236a464b0eca699b)
![](https://epubservercos.yuewen.com/F3E36B/16499763104627206/epubprivate/OEBPS/Images/image000024.jpg?sign=1738833994-BlBeUnb4eMhNRhkV8fUNAxWktiZA0vrp-0-5dff3dfcb1f0edfd6f922487b5cd443e)
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=1738833994-wYvG5Oq9sX85VlcFMf6JBvbFdoaPh474-0-983ae87e828cfa7389b23c3ab3656924)
表1-4-14 分块矩阵及其运算
![](https://epubservercos.yuewen.com/F3E36B/16499763104627206/epubprivate/OEBPS/Images/image000036.jpg?sign=1738833994-I2ZiFcr5U0mKeqhAUTbvZArBRrMv1nAY-0-b4e0f10b94bfd93b587ba346a650998a)
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=1738833994-kjDe9l4Xr4FlTkEgFh1gOm67jYnY1YZA-0-aff70771365eb1292269c7554c500c0b)
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=1738833994-3y8cIhDeZFwBw58k7fPARkF0iHhmrHbt-0-33229adf1248a0bc22d8c5d5f32ef676)
表1-4-17 矩阵的初等变换
![](https://epubservercos.yuewen.com/F3E36B/16499763104627206/epubprivate/OEBPS/Images/image000054.jpg?sign=1738833994-ikFSIiGurHYZUX8CHnMyByXnItq6NLrE-0-ad3beff0d0de7b55ef1365e68bfbab52)
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=1738833994-9o5IQai36lFmNeZYyz22OUaMbbu0903S-0-f588da16c2b8b5ce03a5cb80a551e6fb)
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=1738833994-R70nS2J9G2qj3BImmVTkDpDH1GYbKRUp-0-e21c81b3a062134456cc1ca2adce2238)
表1-4-20 逆矩阵的计算
![](https://epubservercos.yuewen.com/F3E36B/16499763104627206/epubprivate/OEBPS/Images/image000078.jpg?sign=1738833994-Y487qMnyEt8OputHlYNIZ11FgfpmXKvT-0-6ae71b6a9dd3922463428546387157b3)
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=1738833994-Rd7ycPa7tkN7WDC5m2qkIey1RP5eWYVM-0-5d6e780d8f14f95ce77a79c069bb9116)