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matlib (version 0.9.4)

Matrix Functions for Teaching and Learning Linear Algebra and Multivariate Statistics

Description

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.

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install.packages('matlib')

Monthly Downloads

3,382

Version

0.9.4

License

GPL (>= 2)

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Maintainer

Michael Friendly

Last Published

October 29th, 2020

Functions in matlib (0.9.4)

GramSchmidt

Gram-Schmidt Orthogonalization of a Matrix
Eigen

Eigen Decomposition of a Square Symmetric Matrix
Proj

Projection of Vector y on columns of X
J

Create a vector, matrix or array of constants
Det

Determinant of a Square Matrix
LU

LU Decomposition
Ginv

Generalized Inverse of a Matrix
Inverse

Inverse of a Matrix
QR

QR Decomposition by Graham-Schmidt Orthonormalization
cholesky

Cholesky Square Root of a Matrix
circle3d

Draw a horizontal circle
Solve

Solve and Display Solutions for Systems of Linear Simultaneous Equations
adjoint

Calculate the Adjoint of a matrix
cone3d

Draw a 3D cone
corner

Draw a corner showing the angle between two vectors
plotEqn

Plot Linear Equations
plotEqn3d

Plot Linear Equations in 3D
minor

Minor of A[i,j]
matrix2latex

Convert matrix to LaTeX equation
showEig

Show the eigenvectors associated with a covariance matrix
MoorePenrose

Moore-Penrose inverse of a matrix
angle

Angle between two vectors
buildTmat

Build/Get transformation matrices
arrows3d

Draw 3D arrows
echelon

Echelon Form of a Matrix
class

Class Data Set
gaussianElimination

Gaussian Elimination
regvec3d

Vector space representation of a two-variable regression model
rowCofactors

Row Cofactors of A[i,]
symMat

Create a Symmetric Matrix from a Vector
cofactor

Cofactor of A[i,j]
printMatrix

Print a matrix, allowing fractions or LaTeX output
printMatEqn

Print Matrices or Matrix Operations Side by Side
therapy

Therapy Data
showEqn

Show Matrices (A, b) as Linear Equations
R

Rank of a Matrix
SVD

Singular Value Decomposition of a Matrix
rowmult

Multiply Rows by Constants
gsorth

Gram-Schmidt Orthogonalization of a Matrix
is_square_matrix

Test for square matrix
xprod

Generalized Vector Cross Product
rowadd

Add multiples of rows to other rows
plot.regvec3d

Plot method for regvec3d objects
workers

Workers Data
vectors3d

Draw 3D vectors
rowMinors

Row Minors of A[i,]
mpower

Matrix Power
len

Length of a Vector or Column Lengths of a Matrix
arc

Draw an arc showing the angle between vectors
rowswap

Interchange two rows of a matrix
matlib

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

Position of a point along a line
tr

Trace of a Matrix
powerMethod

Power Method for Eigenvectors
svdDemo

Demonstrate the SVD for a 3 x 3 matrix
vec

Vectorize a Matrix
swp

The Matrix Sweep Operator
vectors

Draw geometric vectors in 2D
vandermode

Vandermode Matrix