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x
> with(VectorCalculus);
[&x, *, +, -, ., `<,>`, `<|>`, About, AddCoordinates, ArcLength,
BasisFormat, Binormal, Compatibility, ConvertVector,
CrossProduct, Curl, Curvature, D, Del, DirectionalDiff,
Divergence, DotProduct, Flux, GetCoordinateParameters,
GetCoordinates, GetNames, GetPVDescription, GetRootPoint,
GetSpace, Gradient, Hessian, IsPositionVector, IsRootedVector,
IsVectorField, Jacobian, Laplacian, LineInt, MapToBasis, Nabla,
Norm, Normalize, PathInt, PlotPositionVector, PlotVector,
PositionVector, PrincipalNormal, RadiusOfCurvature,
RootedVector, ScalarPotential, SetCoordinateParameters,
SetCoordinates, SpaceCurve, SurfaceInt, TNBFrame, Tangent,
TangentLine, TangentPlane, TangentVector, Torsion, Vector,
VectorField, VectorPotential, VectorSpace, Wronskian, diff,
eval, evalVF, int, limit, series]
> with(LinearAlgebra);
[&x, Add, Adjoint, BackwardSubstitute, BandMatrix, Basis,
BezoutMatrix, BidiagonalForm, BilinearForm, CARE,
CharacteristicMatrix, CharacteristicPolynomial, Column,
ColumnDimension, ColumnOperation, ColumnSpace, CompanionMatrix,
ConditionNumber, ConstantMatrix, ConstantVector, Copy,
CreatePermutation, CrossProduct, DARE, DeleteColumn, DeleteRow,
Determinant, Diagonal, DiagonalMatrix, Dimension, Dimensions,
DotProduct, EigenConditionNumbers, Eigenvalues, Eigenvectors,
Equal, ForwardSubstitute, FrobeniusForm, GaussianElimination,
GenerateEquations, GenerateMatrix, Generic, GetResultDataType,
GetResultShape, GivensRotationMatrix, GramSchmidt,
HankelMatrix, HermiteForm, HermitianTranspose, HessenbergForm,
HilbertMatrix, HouseholderMatrix, IdentityMatrix,
IntersectionBasis, IsDefinite, IsOrthogonal, IsSimilar,
IsUnitary, JordanBlockMatrix, JordanForm, KroneckerProduct,
LA_Main, LUDecomposition, LeastSquares, LinearSolve,
LyapunovSolve, Map, Map2, MatrixAdd, MatrixExponential,
MatrixFunction, MatrixInverse, MatrixMatrixMultiply,
MatrixNorm, MatrixPower, MatrixScalarMultiply,
MatrixVectorMultiply, MinimalPolynomial, Minor, Modular,
Multiply, NoUserValue, Norm, Normalize, NullSpace,
OuterProductMatrix, Permanent, Pivot, PopovForm,
QRDecomposition, RandomMatrix, RandomVector, Rank,
RationalCanonicalForm, ReducedRowEchelonForm, Row,
RowDimension, RowOperation, RowSpace, ScalarMatrix,
ScalarMultiply, ScalarVector, SchurForm, SingularValues,
SmithForm, StronglyConnectedBlocks, SubMatrix, SubVector,
SumBasis, SylvesterMatrix, SylvesterSolve, ToeplitzMatrix,
Trace, Transpose, TridiagonalForm, UnitVector,
VandermondeMatrix, VectorAdd, VectorAngle,
VectorMatrixMultiply, VectorNorm, VectorScalarMultiply,
ZeroMatrix, ZeroVector, Zip]
> rA := Matrix(2, 1, {(1, 1) = r*cos(theta(t)), (2, 1) = r*sin(theta(t))});
Matrix(%id = 5011560706)
> A := Matrix(2, 2, {(1, 1) = cos(theta(t)), (1, 2) = -sin(theta(t)), (2, 1) = sin(theta(t)), (2, 2) = cos(theta(t))});
Matrix(%id = 5011560770)
> `ρp` := Matrix(2, 1, {(1, 1) = sum(l[j], j = 1 .. i-1)+xe, (2, 1) = 0});
Matrix(%id = 5011560834)
> q(t):=matrix(6,1); ;
t -> matrix(6, 1)
> type(q(t), matrix);
true
> qt(t):=Transpose(q(t)); ;
Error, invalid input: LinearAlgebra:-Transpose expects its 1st argument, A, to be of type {Matrix, Vector, scalar} or coercible via `~Simplify`, but received array( 1 .. 6, 1 .. 1, [ ] ) |