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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=1739516271-Zn64U4pRWEqB3951oVGtMWY25oUoGibB-0-3fd0a4405dace951651698e216c085b6)
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=1739516271-lyZTVtFBFfJn7IGTng4wegmc7L42A0hm-0-4a5f9ad8c7f698ab5ce27be149b9c46c)
4.3.3 对数
表1-4-5 对数
![](https://epubservercos.yuewen.com/F3E36B/16499763104627206/epubprivate/OEBPS/Images/image002827.jpg?sign=1739516271-m7MwmXB0N0D9sWsnl2YXLPu2dgPV2Ztm-0-1ccb6e523028d779930dd615425c8e05)
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=1739516271-U9mfPtlzaL3DMXFdSyssb9UK7lNRb9Lq-0-08048ece889d19dcc83245e4de6ed213)
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=1739516271-WdsxXW7NRcH3KvTaXKL9dpYDCggIE6Ii-0-457d67d6d5bf9571205281a9394ebeb8)
4.3.6 级数
表1-4-8 级数
![](https://epubservercos.yuewen.com/F3E36B/16499763104627206/epubprivate/OEBPS/Images/image002845.jpg?sign=1739516271-7KMWcCvclynArnVX74I3kIETtGCoeCld-0-bcd9117f0566573ddd130e8154868bba)
![](https://epubservercos.yuewen.com/F3E36B/16499763104627206/epubprivate/OEBPS/Images/image002851.jpg?sign=1739516271-5z1iIN5lKfIA4Zmf7jY5segkFr1YyiIj-0-b9f6813f85686340980fe1ca260b8cc6)
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=1739516271-LzWccR5XWXMTSDdz6KkXtQa0IjR4rkpF-0-fce032af8e7b126d1fd91f1edb4bc9ad)
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=1739516271-D7PYDKOi8N51OpqQHBygrCACWb1bKStp-0-99bc674c52b5bfd50fab1bb6e15bc82e)
![](https://epubservercos.yuewen.com/F3E36B/16499763104627206/epubprivate/OEBPS/Images/image002869.jpg?sign=1739516271-xUFtsC40eZosocNcotjV3ZAoL2CQGu49-0-27bf3eddeefae689d2f0fc5562faf572)
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=1739516271-lNZwFR6tMGtWx2jxow01mFSGgkesU3Kt-0-e8e4994258261da637f53dd04b968a95)
![](https://epubservercos.yuewen.com/F3E36B/16499763104627206/epubprivate/OEBPS/Images/image000012.jpg?sign=1739516271-uuQFXKbxAt4EvhgDYJbUshR1gPfF4LBZ-0-d159054daf8e1cfb7ae80a2ccf93778e)
表1-4-12 矩阵运算及其性质
![](https://epubservercos.yuewen.com/F3E36B/16499763104627206/epubprivate/OEBPS/Images/image000018.jpg?sign=1739516271-wlR8MgkQnmKjLAhtHbADkxMquXf3F63b-0-0b39a69a7487bca13ca70802d2431851)
![](https://epubservercos.yuewen.com/F3E36B/16499763104627206/epubprivate/OEBPS/Images/image000024.jpg?sign=1739516271-1syr04KrXenkegcK8wlEQhOPfrQP7j7m-0-e198d40e8428dff7ba197358c20ee2ed)
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=1739516271-UlzqKTcOQzrmtviSul1oSPMitaP4vxMG-0-1c0ad9e8dd8f415b5a7a4f658ea42514)
表1-4-14 分块矩阵及其运算
![](https://epubservercos.yuewen.com/F3E36B/16499763104627206/epubprivate/OEBPS/Images/image000036.jpg?sign=1739516271-W1sRfYILmlO62WVp5JurHdr1UwZUgFB5-0-d60cd41d5feec231e7e3adeb5cebf4a7)
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=1739516271-xexjDRlq4KvSYXenLEaKtVUdTXzHbgL9-0-31bfbf99ee31a2dad65e3ce9baa54beb)
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=1739516271-PCTXzbamG5AVZa5hmXYZK1qGVtQ5Igse-0-9f59ac7ce0c1c599cade6e274f7c445d)
表1-4-17 矩阵的初等变换
![](https://epubservercos.yuewen.com/F3E36B/16499763104627206/epubprivate/OEBPS/Images/image000054.jpg?sign=1739516271-apwMCA801K80Tdy04T2OoKpPmejJBMlg-0-6c80a59c2eb7bf21e6bf019f111be0f6)
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=1739516271-olM6bPHlX9psAyCzw2h9BtSaBQAqtrBe-0-70e2969f66e712fc26f17a8201027a26)
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=1739516271-5aZ5sTFYKizvdZ4WVIvvZmVhB8D8dG2f-0-44481c370885d294c3a8d1b914c4f69e)
表1-4-20 逆矩阵的计算
![](https://epubservercos.yuewen.com/F3E36B/16499763104627206/epubprivate/OEBPS/Images/image000078.jpg?sign=1739516271-vwfXg5JdD5aMyn7CZ5yde3C7qp1ba39B-0-d96b48667468a178b83872d1e8f3c51d)
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=1739516271-wQVXBub4ZEVdOmmtzD3GI973UzWWcVwM-0-eac22ad09e6329e65b9ccf80e28a038c)