Package index
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matlib-package
matlib
_PACKAGE
- matlib: Matrix Functions for Teaching and Learning Linear Algebra and Multivariate Statistics.
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J()
- Create a vector, matrix or array of constants
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len()
- Length of a Vector or Column Lengths of a Matrix
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mpower()
- Matrix Power
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Proj()
- Projection of Vector y on columns of X
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R()
- Rank of a Matrix
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symMat()
- Create a Symmetric Matrix from a Vector
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tr()
- Trace of a Matrix
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vec()
- Vectorize a Matrix
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xprod()
- Generalized Vector Cross Product
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adjoint()
- Calculate the Adjoint of a matrix
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cofactor()
- Cofactor of A[i,j]
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Det()
- Determinant of a Square Matrix
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minor()
- Minor of A[i,j]
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rowCofactors()
- Row Cofactors of A[i,]
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rowMinors()
- Row Minors of A[i,]
Elementary row operations
Functions for solving linear equations “manually” by the steps used in row echelon form and Gaussian elimination
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rowadd()
- Elementary Row Operations
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rowmult()
- Multiply Rows by Constants
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rowswap()
- Interchange two rows of a matrix
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buildTmat()
as.matrix(<trace>)
print(<trace>)
- Build/Get transformation matrices
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showEqn()
- Show Matrices (A, b) as Linear Equations
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plotEqn()
- Plot Linear Equations
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plotEqn3d()
- Plot Linear Equations in 3D
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Solve()
- Solve and Display Solutions for Systems of Linear Simultaneous Equations
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printMatEqn()
- Print Matrices or Matrix Operations Side by Side
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printMatrix()
- (Deprecated) Print a matrix, allowing fractions or LaTeX output
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matrix2latex()
- (Deprecated) Convert matrix to LaTeX equation
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latexMatrix()
partition()
getLatex()
getBody()
getWrapper()
Dim()
Nrow()
Ncol()
print(<latexMatrix>)
is.numeric(<latexMatrix>)
as.double(<latexMatrix>)
`[`(<latexMatrix>)
cbind(<latexMatrix>)
rbind(<latexMatrix>)
dimnames(<latexMatrix>)
`Dimnames<-`()
`Rownames<-`()
`Colnames<-`()
- Create and Manipulate LaTeX Representations of Matrices
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matsum()
`+`(<latexMatrix>)
matdiff()
`-`(<latexMatrix>)
`*`(<latexMatrix>)
Dot()
matmult()
`%*%`(<latexMatrix>)
matpower()
`^`(<latexMatrix>)
inverse()
t(<latexMatrix>)
determinant(<latexMatrix>)
solve(<latexMatrix>)
kronecker(<latexMatrix>,<latexMatrix>)
`%X%`
- Various Functions and Operators for
"latexMatrix"
Objects
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Eqn()
Eqn_newline()
Eqn_text()
Eqn_hspace()
Eqn_vspace()
Eqn_size()
ref()
- Create a LaTeX Equation Wrapper
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cholesky()
- Cholesky Square Root of a Matrix
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echelon()
- Echelon Form of a Matrix
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gaussianElimination()
print(<enhancedMatrix>)
- Gaussian Elimination
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Ginv()
- Generalized Inverse of a Matrix
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Inverse()
- Inverse of a Matrix
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LU()
- LU Decomposition
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MoorePenrose()
- Moore-Penrose inverse of a matrix
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QR()
- QR Decomposition by Graham-Schmidt Orthonormalization
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swp()
- The Matrix Sweep Operator
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Eigen()
- Eigen Decomposition of a Square Symmetric Matrix
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powerMethod()
- Power Method for Eigenvectors
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showEig()
- Show the eigenvectors associated with a covariance matrix
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SVD()
- Singular Value Decomposition of a Matrix
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angle()
- Angle between two vectors
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arc()
- Draw an arc showing the angle between vectors
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arrows3d()
- Draw 3D arrows
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circle()
- Draw circles on an existing plot.
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circle3d()
- Draw a horizontal circle
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cone3d()
- Draw a 3D cone
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corner()
- Draw a corner showing the angle between two vectors
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getYmult()
- Correct for aspect and coordinate ratio
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pointOnLine()
- Position of a point along a line
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regvec3d()
- Vector space representation of a two-variable regression model
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plot(<regvec3d>)
summary(<regvec3d>)
print(<regvec3d>)
- Plot method for regvec3d objects
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vectors()
- Draw geometric vectors in 2D
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vectors3d()
- Draw 3D vectors
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matrix2latex()
- (Deprecated) Convert matrix to LaTeX equation
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GramSchmidt()
- Gram-Schmidt Orthogonalization of a Matrix
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gsorth()
- Gram-Schmidt Orthogonalization of a Matrix
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svdDemo()
- Demonstrate the SVD for a 3 x 3 matrix
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vandermode()
- Vandermode Matrix