{VERSION 6 0 "IBM INTEL NT" "6.0" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 0 0 0 0 1 }{PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Text Ou tput" -1 2 1 {CSTYLE "" -1 -1 "Courier" 1 10 0 0 255 1 0 0 0 0 0 1 3 0 3 0 }1 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "" 2 6 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 2 0 0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }} {SECT 0 {EXCHG {PARA 0 "" 0 "" {TEXT -1 31 "Vektore erzeugen und bearb eiten" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 24 "man ben\366tigt das Packet:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 30 "restart: with (LinearAlgebra);" }}{PARA 6 "" 1 "" {TEXT -1 1685 "[`&x`, Add, Adjoint, BackwardSubstitute, BandMatrix, Ba sis, BezoutMatrix, BidiagonalForm, BilinearForm, CharacteristicMatrix, CharacteristicPolynomial, Column, ColumnDimension, ColumnOperation, C olumnSpace, CompanionMatrix, ConditionNumber, ConstantMatrix, Constant Vector, Copy, CreatePermutation, CrossProduct, DeleteColumn, DeleteRow , Determinant, Diagonal, DiagonalMatrix, Dimension, Dimensions, DotPro duct, EigenConditionNumbers, Eigenvalues, Eigenvectors, Equal, Forward Substitute, FrobeniusForm, GaussianElimination, GenerateEquations, Gen erateMatrix, Generic, GetResultDataType, GetResultShape, GivensRotatio nMatrix, GramSchmidt, HankelMatrix, HermiteForm, HermitianTranspose, H essenbergForm, HilbertMatrix, HouseholderMatrix, IdentityMatrix, Inter sectionBasis, IsDefinite, IsOrthogonal, IsSimilar, IsUnitary, JordanBl ockMatrix, JordanForm, LA_Main, LUDecomposition, LeastSquares, LinearS olve, Map, Map2, MatrixAdd, MatrixExponential, MatrixFunction, MatrixI nverse, MatrixMatrixMultiply, MatrixNorm, MatrixPower, MatrixScalarMul tiply, MatrixVectorMultiply, MinimalPolynomial, Minor, Modular, Multip ly, NoUserValue, Norm, Normalize, NullSpace, OuterProductMatrix, Perma nent, Pivot, PopovForm, QRDecomposition, RandomMatrix, RandomVector, R ank, RationalCanonicalForm, ReducedRowEchelonForm, Row, RowDimension, \+ RowOperation, RowSpace, ScalarMatrix, ScalarMultiply, ScalarVector, Sc hurForm, SingularValues, SmithForm, StronglyConnectedBlocks, SubMatrix , SubVector, SumBasis, SylvesterMatrix, ToeplitzMatrix, Trace, Transpo se, TridiagonalForm, UnitVector, VandermondeMatrix, VectorAdd, VectorA ngle, VectorMatrixMultiply, VectorNorm, VectorScalarMultiply, ZeroMatr ix, ZeroVector, Zip]" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 53 "Man unter scheidet zwischen Zeilen und Spaltenvektoren" }}}{EXCHG {PARA 0 "" 0 " " {TEXT -1 13 "Zeilenvektor:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "v1:=;" }}{PARA 6 "" 1 "" {TEXT -1 123 "v1 := Vector[row]( 3,\{(1) = a, (2) = b, (3) = c\},datatype = anything,storage = rectangu lar,order = Fortran_order,shape = [])" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 14 "Spaltenvektor:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }{MPLTEXT 1 0 16 "v2:=;" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 57 "Mit Transpose wandelt man Zeilen- in Spaltenvektoren um: \+ " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "Transpose(v1);" }}} {EXCHG {PARA 0 "" 0 "" {TEXT -1 41 "Das Kreuzprodukt zweier Vektoren l iefert:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 20 "CrossProduct(v1, v2);" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 176 "Es werden Spalten- undn \+ Zeilenvektoren als Eingabe akzeptiert. Wenn beide Eingaben Zeilenvekto ren wird das Kreuzprodukt als Zeilenvektor geliefert. Ansonsten als Sp altenvektor." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 42 "Das Skalarprodukt zweier Vektoren liefert :" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 34 "DotProduct(v1,v2,conju gate=false);" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 75 "Mit conjugate=fal se kann man das Rechnen mit komplexen Zahlen unterdr\374cken." }} {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}} {EXCHG {PARA 0 "" 0 "" {TEXT -1 26 "Matritzen erstellen lassen" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }{MPLTEXT 1 0 25 "Matrix(3, 3,(n,m)->n*x^m);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}} {EXCHG {PARA 0 "" 0 "" {TEXT -1 73 "Der erste Parameter enth\344lt den Zeilenindex, der Zweite den Spaltenindex." }}}}{MARK "6 0 0" 7 } {VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }