# matlib

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

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

`rowadd`

,`rowmult`

,`rowswap`

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.

*Documentation reproduced from package matlib, version 0.9.2, License: GPL (>= 2)*