线性代数英文试卷(习题)-豆柴文库

您所在位置：网站首页 / 线性代数英文试卷(习题).docx / 文档详情

免费试读已结束，剩余 27 页请下载文档后查看

10 金币

下载文档

/ 32

下载提示

如果您无法下载资料，请参考说明：

1、部分资料下载需要金币，请确保您的账户上有足够的金币

2、已购买过的文档，再次下载不重复扣费

3、资料包下载后请先用软件解压，在使用对应软件打开

文本预览

线性代数英文试卷(习题)

第一篇：线性代数英文试卷(习题)ZheJiangUniversityOfScienceAndTechnologyCivilEngineering14FinalTestLinearAlgebraFinalTest(15.06)Cautions:[1]Youareallowedtofinishthistestwithin60minutes.[2]Filltheanswerinthequestionpaperinpart.11.FillingBlanks(45points)姓名：x[1]figureoutthevalueofthefollowingdeterminantA=xyxyxyxy______________xyy学号：班级：32T102[2]Herearetwomatrix,A01,B01014T,pleasefindAB=____________,BA=______________.[3]AknownmatrixBsatisfiesthefollowingequation,B2-B-2E=0,ifB,B+2Earenonsingular,thus(B+2E)-1=___________[4]Pickupthevectorswhicharelinearlyindependent__________①(-2,1)T,(1,3)T,(2,4)T②2,x2,x,2x+3③x+2,x+1,x2-1④(1,2)T,(-1,1)T122[5]A4t3.ifBisanonzero3x3matrix,AB=0,thust=________311OA[6]|A|=|B|=|C|=2,andthey’reall3*3matrix,findthevalueofD=2(B)1C=____________3[7]Judgewhether200253A052，B050havethesameeigenvalues______(‘Y’OR’N’),ifyes,pleasefind004004them=_____________[8]findmatrixX,whichsatisfiestheequation1121,X=___________X241250[9]findtheeigenvectorsofA=18,______________________2.Solveproblems(55points)[1]A,Bare3x3matrix,andtheysatisfytheequationAB2AB，and002B040，findAE.200[2]If12A，findamatrixU21，makingU1AUexist.(Tip:isadiagonalmatrix).ZheJiangUniversityOfScienceAndTechnologyCivilEngineering14FinalTest2x1x2x3x413[3]Theequationis3x12x2x33x44,finditsgeneralsolution;[4]A=4x4x3x5x2023410430000100find041A1andA*.1111[5]0isoneofeigenvectorsofmatrixAm11，111n（1）findtheeigenvalueα,thenfigureoutthevalueofm,n；（2）JudgewhethermatrixAcanbediagonalizable;ifyes,pleasefindamatrixdiagonalmatrix).U,makingU1AUexist.(Tip:isa11111[6]Thearrayofvectorsβ,αaregiven,10,2m,31,11,22.Theyhavethesamerankof1320nmatrix,meanwhile,3islinearlyindependentwith1,2，findthevalueofm,n.----------------DraftpaperArea-------------ZheJiangUniversityOfScienceAndTechnologyCivilEnginee