(1.2.1)--英3.1.1 Definition and Properties线性代数线性代数.ppt

LinearAlgebra3.1.1VectorandLinearOperation

?HorizontalAngleofFuselage:ElevationAngleofFuselage:AngleoftheWing：Todeterminethestatusoftheaircraft,a6-dimensionalvectorisrequired:Descriptionofaircraftflightstatus????Todeterminethestatusoftheaircraft,thefollowing6parametersarerequired:Thepositionparametersofthefocusinspace:

R:255G:255B:0R:255G:0B:2552550RedGreenBlue002552550002550ColorVectorRepresentation

Avectorsetisasetoforderedscalars.Theentriesofthevectorarecalledthecomponents(orcoordinates)ofthevector.iscalledthethcomponentofvector.1.BasicConceptsVectorswithrealcomponentsarecalledrealvectors.Vectorswithcomplexcomponentsarecalledcomplexvectors.Definition

Coefficientsofthevariablesineachequationformann-dimensionalrowvector.?rowvector:?columnvector:???

Note:１.Rowandcolumnvectorsarealwaystreatedasdifferentkindsofvectors；２.Theadditionandscalarmultiplicationofvectorsarejusttheusualadditionandscalarmultiplicationofmatrices;３.Theterm‘Vector’referstoacolumnvectorunlessexplicitlymentionedotherwise.

VectorEqualThatis,vectorswiththesamecomponentsareequal.?ZeroVectorAvectorwhosecomponentsareallzero,whichisdenotedas????

?Definition?（Sameasthelinearoperationofthematrix）2.LinearOperationofN-DimensionalVector???

?NotelinearoperationsofvectorsconcludeVectoradditionVectorscalarmultiplication?

Properties：???

?????3、MatrixandVectorGroup?

Representationoflinearequations????

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