Package: matlib 0.9.95

matlib: 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.

Authors:Michael Friendly [aut, cre], John Fox [aut], Phil Chalmers [aut], Georges Monette [ctb], Gaston Sanchez [ctb]

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NEWS

# Install 'matlib' in R:

install.packages('matlib', repos = c('https://friendly.r-universe.dev', 'https://cloud.r-project.org'))

Bug tracker:https://github.com/friendly/matlib/issues

Datasets:

class - Class Data Set
therapy - Therapy Data
workers - Workers Data

On CRAN:

diagrams linear-equations matrix matrix-functions matrix-visualizer vector vignette

84 exports 65 stars 4.42 score 84 dependencies 10 dependents 1 mentions 848 scripts 4.6k downloads

Last updated 2 days agofrom:b1eb6d273d. Checks:OK: 1 NOTE: 6. Indexed: yes.

Target	Result	Date
Doc / Vignettes	OK	Sep 15 2024
R-4.5-win	NOTE	Sep 15 2024
R-4.5-linux	NOTE	Sep 15 2024
R-4.4-win	NOTE	Sep 15 2024
R-4.4-mac	NOTE	Sep 15 2024
R-4.3-win	NOTE	Sep 15 2024
R-4.3-mac	NOTE	Sep 15 2024

Exports:%X%adjoint angle arc arrows3d buildTmat cholesky circle circle3d cofactor Colnames<-cone3d corner Det Dim Dimnames<-Dot echelon Eigen Eqn Eqn_hspace Eqn_newline Eqn_size Eqn_text Eqn_vspace gaussianElimination getBody getLatex getWrapper getYmult Ginv GramSchmidt gsorth inv inverse Inverse is_orthogonal_matrix is_square_matrix is_symmetric_matrix J latexMatrix len LU matdiff matmult matpower matrix2latex matsum minor MoorePenrose mpower Ncol Nrow partition plotEqn plotEqn3d pointOnLine powerMethod printMatEqn printMatrix Proj QR R ref regvec3d rowadd rowCofactors rowMinors rowmult Rownames<-rowswap showEig showEqn Solve SVD svdDemo swp symMat tr vandermode vec vectors vectors3d xprod

Dependencies:abind backports base64enc boot broom bslib cachem car carData cli colorspace cowplot cpp11 Deriv digest doBy dplyr evaluate fansi farver fastmap fontawesome fs generics ggplot2 glue gtable highr htmltools htmlwidgets isoband jquerylib jsonlite knitr labeling lattice lifecycle lme4 magrittr MASS Matrix MatrixModels memoise mgcv microbenchmark mime minqa modelr munsell nlme nloptr nnet numDeriv pbkrtest pillar pkgconfig purrr quantreg R6 rappdirs RColorBrewer Rcpp RcppEigen rgl rlang rmarkdown rstudioapi sass scales SparseM stringi stringr survival tibble tidyr tidyselect tinytex utf8 vctrs viridisLite withr xfun xtable yaml

Eigenvalues and Eigenvectors: Properties

Michael Friendly

Rendered fromeigen-ex1.Rmdusingknitr::rmarkdownon Sep 15 2024.

Last update: 2024-09-04
Started: 2015-11-02

Eigenvalues: Spectral Decomposition

Michael Friendly

Rendered fromeigen-ex2.Rmdusingknitr::rmarkdownon Sep 15 2024.

Last update: 2017-05-30
Started: 2015-11-04

Evaluation of determinants

Michael Friendly

Rendered fromdet-ex2.Rmdusingknitr::rmarkdownon Sep 15 2024.

Last update: 2016-10-04
Started: 2016-09-08

Generalized inverse

Michael Friendly

Rendered fromginv.Rmdusingknitr::rmarkdownon Sep 15 2024.

Last update: 2024-08-07
Started: 2016-09-11

Gram-Schmidt Orthogonalization and Regression

Michael Friendly

Rendered fromgramreg.Rmdusingknitr::rmarkdownon Sep 15 2024.

Last update: 2017-05-30
Started: 2015-11-17

Inverse of a matrix

Michael Friendly

Rendered frominv-ex1.Rmdusingknitr::rmarkdownon Sep 15 2024.

Last update: 2016-09-13
Started: 2016-09-09

LaTeX Equations with latexMatrix, Eqn and matrix2latex

Phil Chalmers, John Fox, Michael Friendly

Rendered fromlatex-equations.Rmdusingknitr::rmarkdownon Sep 15 2024.

Last update: 2024-09-15
Started: 2024-08-07

Linear transformations and matrix inverse in 3D

Michael Friendly

Rendered frominv-3d.Rmdusingknitr::rmarkdownon Sep 15 2024.

Last update: 2024-09-08
Started: 2024-08-07

Matrix inversion by elementary row operations

Michael Friendly

Rendered frominv-ex2.Rmdusingknitr::rmarkdownon Sep 15 2024.

Last update: 2024-08-04
Started: 2016-09-10

Properties of determinants

Michael Friendly

Rendered fromdet-ex1.Rmdusingknitr::rmarkdownon Sep 15 2024.

Last update: 2024-08-04
Started: 2016-09-08

Solving Linear Equations

Michael Friendly and John Fox

Rendered fromlinear-equations.Rmdusingknitr::rmarkdownon Sep 15 2024.

Last update: 2024-09-08
Started: 2015-11-06

Vector Spaces of Least Squares and Linear Equations

Michael Friendly, Georges Monette, John Fox, Phil Chalmers

Rendered fromdata-beta.Rmdusingknitr::rmarkdownon Sep 15 2024.

Last update: 2024-09-08
Started: 2020-04-04

Help page	Topics
matlib: Matrix Functions for Teaching and Learning Linear Algebra and Multivariate Statistics.	matlib-package matlib
Calculate the Adjoint of a matrix	adjoint
Angle between two vectors	angle
Draw an arc showing the angle between vectors	arc
Draw 3D arrows	arrows3d
Build/Get transformation matrices	as.matrix.trace buildTmat print.trace
Cholesky Square Root of a Matrix	cholesky
Draw circles on an existing plot.	circle
Draw a horizontal circle	circle3d
Class Data Set	class
Cofactor of A[i,j]	cofactor
Draw a 3D cone	cone3d
Draw a corner showing the angle between two vectors	corner
Determinant of a Square Matrix	Det
Echelon Form of a Matrix	echelon
Eigen Decomposition of a Square Symmetric Matrix	Eigen
Create a LaTeX Equation Wrapper	Eqn Eqn_hspace Eqn_newline Eqn_size Eqn_text Eqn_vspace ref
Gaussian Elimination	gaussianElimination print.enhancedMatrix
Correct for aspect and coordinate ratio	getYmult
Generalized Inverse of a Matrix	Ginv
Gram-Schmidt Orthogonalization of a Matrix	GramSchmidt
Gram-Schmidt Orthogonalization of a Matrix	gsorth
Inverse of a Matrix	inv Inverse
Create a vector, matrix or array of constants	J
Create and Manipulate LaTeX Representations of Matrices	as.double.latexMatrix cbind.latexMatrix Colnames<- Colnames<-.latexMatrix Dim Dim.latexMatrix dimnames.latexMatrix Dimnames<- Dimnames<-.latexMatrix getBody getBody.latexMatrix getLatex getLatex.latexMatrix getWrapper getWrapper.latexMatrix is.numeric.latexMatrix latexMatrix Ncol Ncol.latexMatrix Nrow Nrow.latexMatrix partition partition.latexMatrix print.latexMatrix rbind.latexMatrix Rownames<- Rownames<-.latexMatrix [.latexMatrix
Various Functions and Operators for '"latexMatrix"' Objects	%%.latexMatrix %X% .latexMatrix +.latexMatrix -.latexMatrix determinant.latexMatrix Dot inverse inverse.latexMatrix kronecker,latexMatrix,latexMatrix-method latexMatrixOperations matdiff matdiff.latexMatrix matmult matmult.latexMatrix matpower matpower.latexMatrix matsum matsum.latexMatrix solve.latexMatrix t.latexMatrix ^.latexMatrix
Length of a Vector or Column Lengths of a Matrix	len
LU Decomposition	LU
(Deprecated) Convert matrix to LaTeX equation	matrix2latex
Minor of A[i,j]	minor
Moore-Penrose inverse of a matrix	MoorePenrose
Matrix Power	mpower
Plot method for regvec3d objects	plot.regvec3d print.regvec3d summary.regvec3d
Plot Linear Equations	plotEqn
Plot Linear Equations in 3D	plotEqn3d
Position of a point along a line	pointOnLine
Power Method for Eigenvectors	powerMethod
Print Matrices or Matrix Operations Side by Side	printMatEqn
(Deprecated) Print a matrix, allowing fractions or LaTeX output	printMatrix
Projection of Vector y on columns of X	Proj
QR Decomposition by Graham-Schmidt Orthonormalization	QR
Rank of a Matrix	R
Vector space representation of a two-variable regression model	regvec3d regvec3d.default regvec3d.formula
Elementary Row Operations	rowadd
Row Cofactors of A[i,]	rowCofactors
Row Minors of A[i,]	rowMinors
Multiply Rows by Constants	rowmult
Interchange two rows of a matrix	rowswap
Show the eigenvectors associated with a covariance matrix	showEig
Show Matrices (A, b) as Linear Equations	showEqn
Solve and Display Solutions for Systems of Linear Simultaneous Equations	Solve
Singular Value Decomposition of a Matrix	SVD
Demonstrate the SVD for a 3 x 3 matrix	svdDemo
The Matrix Sweep Operator	swp
Create a Symmetric Matrix from a Vector	symMat
Therapy Data	therapy
Trace of a Matrix	tr
Vandermode Matrix	vandermode
Vectorize a Matrix	vec
Draw geometric vectors in 2D	vectors
Draw 3D vectors	vectors3d
Workers Data	workers
Generalized Vector Cross Product	xprod

Package: matlib 0.9.95

matlib: Matrix Functions for Teaching and Learning Linear Algebra and Multivariate Statistics

Eigenvalues and Eigenvectors: Properties

Eigenvalues: Spectral Decomposition

Evaluation of determinants

Generalized inverse

Gram-Schmidt Orthogonalization and Regression

Inverse of a matrix

LaTeX Equations with latexMatrix, Eqn and matrix2latex

Linear transformations and matrix inverse in 3D

Matrix inversion by elementary row operations

Properties of determinants

Solving Linear Equations

Vector Spaces of Least Squares and Linear Equations

Citation

Development and contributors

Readme and manuals

Help Manual

Usage by other packages (reverse dependencies)