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