《高等代数与解析几何》英文习题

《《高等代数与解析几何》英文习题》由会员上传分享，免费在线阅读，更多相关内容在工程资料-天天文库。

1、《高等代数与解析几何》英文习题主讲老师：林磊1.(Feb.28)Isabasisforthelinearspaceofallmatrices?2.(Mar.1)Let.Findvectorsandthatarebothorthogonaltoandtoeachother.3.(Mar.4)Letbeabasisforalinearspaceandletbeasubspaceof.Isitnecessarilytruethatabasisforisasubsetof?Why?4.(Mar.7)In(1)-(2)determinewhichofthegivenf

2、unctionsareinnerproductsonwhereand(1);(2).5.(Mar.8)InExercises(1)-(2)determinewhetherthegivensetofvectorsisorthogonal,orthonormal,orneitherwithrespecttotheEuclideaninnerproduct.(1);(2).6.(Mar.11)Computetheareaofthetrianglewithvertices,,and.7.(Mar.14)Showthat.8.(Mar.15)InExercises(1

3、)and(2)findanequationfortheplanethatpassesthroughthepointandthatisparalleltotheplanewhosegeneralequationisgiven.(1);.(2);.9.(Mar.18)Let:bealineartransformationsuchthat(a)Find;(a)Find;(b)Findamatrixsuchthat.10.(Mar.21)Ifspansalinearspace,isitpossiblefortospan?Explainyouranswer.11.(M

4、ar.22)InExercises(1)and(2)findparametricequationsforthelineofintersectionbetweentheplaneswhosegeneralequationsaregiven.(1);.(2);.12.(Mar.25)InExercises(1)-(2)namethesurfacedeterminedbythegivenequationandgiveitsequationinacoordinatesysteminwhichthesurfaceisinstandardposition.(1).(2)

5、13.(Mar.28)InExercises(1)-(2)findthematrixrepresentationofthegivenlineartransformation:withrespecttotheorderedbasesforandfor.(1).(2).14.(Mar.29)InExercises(1)-(2)findbasesforthekernelandrangeofthegivenlineartransformation:.(1).(2).