note
- Gaussian elimination and Guass-Jordan method
|
Matrices - solution of linear equations |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Matrix methods can be used to solve sets of linear equations. For a set of linear equations in two unknowns, solutions can be seen as the points of intersection of lines drawn in two dimensions. For linear equations in three unknowns, solutions can be seen as the points of intersection of planes drawn in three dimensions.
note
- Gaussian elimination and Guass-Jordan method
note
- inverse matrices and determinants
review
problems sheet - solution of linear equations
matrix
calculator 1 (including symbolic) - QuickMath
matrix
calculator 2 (including symbolic)
linear
algebra popup tool - WWW Interactive Server
Solve any set of linear equations.
Find inverse matrix, determinant, ...
linear
algebra toolkit
row operations, row echelon form,
reduced row echelon form, solution of linear equations, inverse matrix,
determinant
Simplex
method tool
Carry out row operations on a matrix
e.g. solve linear equations by Gaussian elimination or the Gauss-Jordan
method.
animations
- multiplication, back substitution, row operations - C. J. Kentler
Winplot
software
Draw graphs
of planes to represent linear equations in 3 unknowns.
linear
transformation grapher
Draw the object and see the image
under different linear transformations.
linear
transformation grapher - enter the 2x2 matrix and see the effect on
Winmat
software
Matrix
Algebra - Chapter 3 - Finite Math & Calculus
History
of matrices and determinants - MacTutor History Archive
Cramer's
rule - proof using properties of determinants
biography
of Gabriel Cramer - MacTutor History Archive
area
of triangle by determinant - Math Forum
tutorials
from math-ABUNDANCE
learning
resources and sources of problems
other
links
resources
page - matrices