matlib v0.9.2

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by Michael Friendly View Source

Matrix Functions for Teaching and Learning Linear Algebra and Multivariate Statistics

A collection of matrix functions for teaching and learning matrix linear algebra as used in multivariate statistical methods. These functions are mainly for tutorial purposes in learning matrix algebra ideas using R. In some cases, functions are provided for concepts available elsewhere in R, but where the function call or name is not obvious. In other cases, functions are provided to show or demonstrate an algorithm. In addition, a collection of functions are provided for drawing vector diagrams in 2D and 3D.

Functions in matlib

Name	Description
cholesky	Cholesky Square Root of a Matrix
MoorePenrose	Moore-Penrose inverse of a matrix
buildTmat	Build/Get tranformation matricies
arrows3d	Draw 3D arrows
gsorth	Gram-Schmidt Orthogonalization of a Matrix
mpower	Matrix Power
is_square_matrix	Test for square matrix
R	Rank of a Matrix
Solve	Solve and Display Solutions for Systems of Linear Simultaneous Equations
plot.regvec3d	Plot method for regvec3d objects
adjoint	Calculate the Adjoint of a matrix
SVD	Singular Value Decomposition of a Matrix
circle3d	Draw a horizontal circle
J	Create a vector, matrix or array of constants
angle	Angle between two vectors
arc	Draw an arc showing the angle between vectors
matlib	matlib: Matrix Functions for Teaching and Learning Linear Algebra and Multivariate Statistics.
len	Length of a Vector or Column Lengths of a Matrix
echelon	Echelon Form of a Matrix
gaussianElimination	Gaussian Elimination
printMatEqn	Print Matrices or Matrix Operations Side by Side
printMatrix	Print a matrix, allowing fractions or LaTeX output
pointOnLine	Position of a point along a line
powerMethod	Power Method for Eigenvectors
cone3d	Draw a 3D cone
cofactor	Cofactor of A[i,j]
class	Class Data Set
matrix2latex	Convert matrix to LaTeX equation
rowMinors	Row Minors of A[i,]
svdDemo	Demonstrate the SVD for a 3 x 3 matrix
corner	Draw a corner showing the angle between two vectors
plotEqn	Plot Linear Equations
showEig	Show the eigenvectors associated with a covariance matrix
plotEqn3d	Plot Linear Equations in 3D
showEqn	Show Matrices (A, b) as Linear Equations
swp	The Matrix Sweep Operator
tr	Trace of a Matrix
rowadd	Add multiples of rows to other rows
vec	Vectorize a Matrix
vectors	Draw geometric vectors in 2D
vandermode	Vandermode Matrix
minor	Minor of A[i,j]
rowmult	Multiply Rows by Constants
rowswap	Interchange two rows of a matrix
regvec3d	Vector space representation of a two-variable regression model
rowCofactors	Row Cofactors of A[i,]
vectors3d	Draw 3D vectors
symMat	Create a Symmetric Matrix from a Vector
therapy	Therapy Data
workers	Workers Data
Det	Determinant of a Square Matrix
Ginv	Generalized Inverse of a Matrix
GramSchmidt	Gram-Schmidt Orthogonalization of a Matrix
Eigen	Eigen Decomposition of a Square Symmetric Matrix
LU	LU Decomposition
Proj	Projection of Vector y on columns of X
QR	QR Decomposition by Graham-Schmidt Orthonormalization
Inverse	Inverse of a Matrix
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Vignettes of matlib

Name
CanvasMatrix.js
det-ex1.Rmd
det-ex2.Rmd
eigen-ex1.Rmd
eigen-ex2.Rmd
ginv.Rmd
gramreg.Rmd
inv-ex1.Rmd
inv-ex2.Rmd
linear-equations.Rmd
plotEqn1snapshot.png
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Details

Type	Package
Date	2019-05-12
License	GPL (>= 2)
URL	https://github.com/friendly/matlib
BugReports	https://github.com/friendly/matlib/issues
LazyData	TRUE
VignetteBuilder	knitr
RoxygenNote	6.1.1
Encoding	UTF-8
NeedsCompilation	no
Packaged	2019-05-29 16:24:15 UTC; Friendly
Repository	CRAN
Date/Publication	2019-05-29 17:10:07 UTC

imports	car , MASS , methods , rgl , xtable
suggests	carData , knitr , rglwidget , rmarkdown
Contributors	Gaston Sanchez, John Fox, Georges Monette, Phil Chalmers