matlib v0.9.1

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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
Solve	Solve and Display Solutions for Systems of Linear Simultaneous Equations
matlib	matlib: Matrix Functions for Teaching and Learning Linear Algebra and Multivariate Statistics.
corner	Draw a corner showing the angle between two vectors
matrix2latex	Convert matrix to LaTeX equation
plotEqn3d	Plot Linear Equations in 3D
pointOnLine	Position of a point along a line
len	Length of a Vector or Column Lengths of a Matrix
showEig	Show the eigenvectors associated with a covariance matrix
regvec3d	Vector space representation of a two-variable regression model
showEqn	Show Matrices (A, b) as Linear Equations
rowCofactors	Row Cofactors of A[i,]
powerMethod	Power Method for Eigenvectors
is_square_matrix	Test for square matrix
vectors3d	Draw 3D vectors
rowswap	Interchange two rows of a matrix
echelon	Echelon Form of a Matrix
rowmult	Multiply Rows by Constants
printMatEqn	Print Matrices or Matrix Operations Side by Side
workers	Workers Data
cofactor	Cofactor of A[i,j]
gaussianElimination	Gaussian Elimination
rowMinors	Row Minors of A[i,]
gsorth	Gram-Schmidt Orthogonalization of a Matrix
rowadd	Add multiples of rows to other rows
class	Class Data Set
plot.regvec3d	Plot method for regvec3d objects
plotEqn	Plot Linear Equations
vandermode	Vandermode Matrix
tr	Trace of a Matrix
cone3d	Draw a 3D cone
minor	Minor of A[i,j]
svdDemo	Demonstrate the SVD for a 3 x 3 matrix
mpower	Matrix Power
symMat	Create a Symmetric Matrix from a Vector
vec	Vectorize a Matrix
swp	The Matrix Sweep Operator
vectors	Draw geometric vectors in 2D
therapy	Therapy Data
Det	Determinant of a Square Matrix
arrows3d	Draw 3D arrows
LU	LU Decomposition
Inverse	Inverse of a Matrix
Proj	Projection of Vector y on columns of X
Eigen	Eigen Decomposition of a Square Symmetric Matrix
SVD	Singular Value Decomposition of a Matrix
arc	Draw an arc showing the angle between vectors
J	Create a vector, matrix or array of constants
buildTmat	Build/Get tranformation matricies
Ginv	Generalized Inverse of a Matrix
cholesky	Cholesky Square Root of a Matrix
R	Rank of a Matrix
QR	QR Decomposition by Graham-Schmidt Orthonormalization
adjoint	Calculate the Adjoint of a matrix
GramSchmidt	Gram-Schmidt Orthogonalization of a Matrix
angle	Angle between two vectors
circle3d	Draw a horizontal circle
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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	2018-04-02
License	GPL (>= 2)
URL	https://github.com/friendly/matlib
BugReports	https://github.com/friendly/matlib/issues
LazyData	TRUE
VignetteBuilder	knitr
RoxygenNote	6.0.1
NeedsCompilation	no
Packaged	2018-04-04 13:06:58 UTC; Friendly
Repository	CRAN
Date/Publication	2018-04-04 13:58:37 UTC

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