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matlib (version 0.9.1)

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

4,509

Version

0.9.1

License

GPL (>= 2)

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Maintainer

Michael Friendly

Last Published

April 4th, 2018

Functions in matlib (0.9.1)

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