1、2022 全程班高分必刷 800 题答案解析新浪微博考研数学周洋鑫12022 年督学班高分必刷 800 题作业答案(线代)第二章 矩阵【476】解析:124A BBE方程两边左乘矩阵A得124AA BABA,即24BABA,24BA BE,所以124AB BE.其中3204120002BE,所以111044320131200880021002.所以11044120020132 1200110880020021002矩阵乘法公式A【477】解析:由XAXB,得EA XB.因为111100211101321310201 1EA,2022 全程班高分必刷 800 题答案解析新浪微博考研数学周洋鑫2所
2、以1021113113212020301 15311XEAB.【478】解析:16A BAABA两边右乘以1A,得16,A BEB1()6AE BE,所以116()6BAE1200030006=300020001.【479】解析:*28A BABAE两边左乘A,右乘1A,*11128AA BAAABAAAA E,28A BABE,即28A EA BE 2A ,代入上式得14EA BE故14BEA110020024 0104 0100021002200040002.【480】解析:12A EB,(注:“交换”对应,i jE,列对应右乘)231B EC,(注:“加”对应,i j kE,列对应右乘)
3、211A EB,(注:“加”对应,i j kE,列对应右乘)23E BE,(注:“交换”对应,i jE,行对应左乘)121B EC,(注:“加”对应,i j kE,列对应右乘)2022 全程班高分必刷 800 题答案解析新浪微博考研数学周洋鑫312B EC,(注:“倍乘”对应 i kE,列对应右乘)【481】解析:1T2323232323,1,EEEEE.1T1111112,22,222 EEEEE.1323232222,1333EEE,T32232233EE.【482】解析:知112010100001PE,2311000101101PE,矩阵A可借助初等变换化成B:【法【法 1 1】2312
4、 rrrrAB,即 32121EE AB,本题无 321E,所以不符题意.【法【法 2 2】1312 rrrrAB,即 12311E EAB,即12PP AB,选 C.【483】解析:【法【法 1 1】211231223(,)(,)cc P Q ,所以 211 PEQ.所以 1111212121211111Q AQPEAPEEP APE 212121100100100101011101010002002002 EEE.选 B.【法【法 2 2】1223123100(,)(,)110001Q ,(注:线性组合矩阵可以化成矩阵乘法)所以111100100110110001001Q AQP AP20
5、22 全程班高分必刷 800 题答案解析新浪微博考研数学周洋鑫4100100100100110010110010001002001002 所以选 B.(注:根据分块矩阵的逆矩阵公式计算1100110001.)【484】解析:【法【法 1 1】211231223(,)(,)cc P Q ,所以 211 PEQ.所以 TTTT212121211111Q AQPEAPEEP APE 212121100110210101010101110002002002EEE.选 A.【法【法 2 2】1223123100100(,)(,)110110001001QP ,所以TTTT1001001001001101
6、10110110001001001001Q AQPAPP AP110100100210010010110110001002001002,故选 A【485】解析:解析:2123131521381810218102181022451020155043138620322480431rrrrrr 2311810204310000rr.13121011131102211022110220111301113101111011101113rrrr-2022 全程班高分必刷 800 题答案解析新浪微博考研数学周洋鑫523110220111300000rr.121323235111211121112213101
7、130113325005260039rrrrrr .121321422132122111221112211248020042000210242330021500215360640063100631rrrrrrr 23342411351221112211002100021000005000050000100000rrrrrr .12132331113111131111311313440467104671159800467100000rrrrrr 12131221211012131213121321100336112311230336rrrrrr 23121303360000rr.23121341414133123511343113431134333541004880012222320003660012233421005101000122rrrrrrrrr 23241111343001220000000000rrrr .2022 全程班高分必刷 800 题答案解析新浪微博考研数学周洋鑫61213232521100511005110052112101129011295322302222200024rrrrrr .