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{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 }
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