Function reference • matlib

Package description
`matlib-package` `matlib`	matlib: Matrix Functions for Teaching and Learning Linear Algebra and Multivariate Statistics.
Convenience functions Simple functions for matrix algebra oparations
`J()`	Create a vector, matrix or array of constants
`len()`	Length of a Vector or Column Lengths of a Matrix
`mpower()`	Matrix Power
`Proj()`	Projection of Vector y on columns of X
`R()`	Rank of a Matrix
`symMat()`	Create a Symmetric Matrix from a Vector
`tr()`	Trace of a Matrix
`vec()`	Vectorize a Matrix
`xprod()`	Generalized Vector Cross Product
Determinants Functions for calculating determinants by cofactor expansion
`adjoint()`	Calculate the Adjoint of a matrix
`cofactor()`	Cofactor of A[i,j]
`Det()`	Determinant of a Square Matrix
`minor()`	Minor of A[i,j]
`rowCofactors()`	Row Cofactors of A[i,]
`rowMinors()`	Row Minors of A[i,]
Elementary row operations Functions for solving linear equations “manually” by the steps used in row echelon form and Gaussian elimination
`rowadd()`	Add multiples of rows to other rows
`rowmult()`	Multiply Rows by Constants
`rowswap()`	Interchange two rows of a matrix
`buildTmat()` `as.matrix(<trace>)` `print(<trace>)`	Build/Get transformation matrices
`showEqn()`	Show Matrices (A, b) as Linear Equations
`plotEqn()`	Plot Linear Equations
`plotEqn3d()`	Plot Linear Equations in 3D
`Solve()`	Solve and Display Solutions for Systems of Linear Simultaneous Equations
`printMatEqn()`	Print Matrices or Matrix Operations Side by Side
`printMatrix()`	Print a matrix, allowing fractions or LaTeX output
`matrix2latex()`	Convert matrix to LaTeX equation
Gaussian elimination Functions for illustrating Gaussian elimination
`cholesky()`	Cholesky Square Root of a Matrix
`echelon()`	Echelon Form of a Matrix
`gaussianElimination()` `print(<enhancedMatrix>)`	Gaussian Elimination
`Ginv()`	Generalized Inverse of a Matrix
`Inverse()`	Inverse of a Matrix
`LU()`	LU Decomposition
`MoorePenrose()`	Moore-Penrose inverse of a matrix
`QR()`	QR Decomposition by Graham-Schmidt Orthonormalization
`swp()`	The Matrix Sweep Operator
Eigenvalues Functions to illustrate the algorithms for calculating eigenvalues and eigenvectors
`Eigen()`	Eigen Decomposition of a Square Symmetric Matrix
`powerMethod()`	Power Method for Eigenvectors
`showEig()`	Show the eigenvectors associated with a covariance matrix
`SVD()`	Singular Value Decomposition of a Matrix
Vector diagrams Functions for drawing vector diagrams in 2D and 3D
`angle()`	Angle between two vectors
`arc()`	Draw an arc showing the angle between vectors
`arrows3d()`	Draw 3D arrows
`circle3d()`	Draw a horizontal circle
`cone3d()`	Draw a 3D cone
`corner()`	Draw a corner showing the angle between two vectors
`pointOnLine()`	Position of a point along a line
`regvec3d()`	Vector space representation of a two-variable regression model
`plot(<regvec3d>)` `summary(<regvec3d>)` `print(<regvec3d>)`	Plot method for regvec3d objects
`vectors()`	Draw geometric vectors in 2D
`vectors3d()`	Draw 3D vectors
Other Other functions in the package, unclassified
`matrix2latex()`	Convert matrix to LaTeX equation
`GramSchmidt()`	Gram-Schmidt Orthogonalization of a Matrix
`gsorth()`	Gram-Schmidt Orthogonalization of a Matrix
`svdDemo()`	Demonstrate the SVD for a 3 x 3 matrix
`vandermode()`	Vandermode Matrix
Data Some small data sets used in examples
`class`	Class Data Set
`therapy`	Therapy Data
`workers`	Workers Data

Reference

Package description

Convenience functions

Determinants

Elementary row operations

Gaussian elimination

Eigenvalues

Vector diagrams

Other

Data