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

## Description

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, sometimes providing a verbose argument to print the details of computations.

## Details

In addition, a collection of functions are provided for drawing vector diagrams in 2D and 3D.

These are not meant for production uses. Other methods are more efficient for larger problems.

## Topics

The functions in this package are grouped under the following topics

• Convenience functions:
tr, R, J, len, vec, Proj, mpower, vandermode

• Determinants: functions for calculating determinants by cofactor expansion
minor, cofactor, rowMinors, rowCofactors

• Elementary row operations: functions for solving linear equations "manually" by the steps used in row echelon form and Gaussian elimination

• Linear equations: functions to illustrate linear equations of the form \$A x = b\$
showEqn, plotEqn

• Gaussian elimination: functions for illustrating Gaussian elimination for solving systems of linear equations of the form \$A x = b\$.
gaussianElimination, Inverse, inv, echelon, Ginv, LU, cholesky, swp

• Eigenvalues: functions to illustrate the algorithms for calculating eigenvalues and eigenvectors
eigen, SVD, powerMethod, showEig

• Vector diagrams: functions for drawing vector diagrams in 2D and 3D
arrows3d, corner, arc, pointOnLine, vectors, vectors3d, regvec3d

## References

Fox, J. and Friendly, M. (2016). "Visualizing Simultaneous Linear Equations, Geometric Vectors, and Least-Squares Regression with the matlib Package for R". useR Conference, Stanford, CA, June 27 - June 30, 2016.

matlib documentation built on April 4, 2018, 5:03 p.m.