 
Find TransMat
Given two points and their images under
a geometric transformation, this program will give the 2x2 matrix which
will perform the transformation. 


All four points must be in the form
(x,y). 


For example, if (1,1) maps to (1,1)
and (0,1) maps to itself, then the matrix will be... 

Make TransMat
Show Transform
This program will show graphically the
result of a 2x2 matrix as a geometrical transformation. 

You can use either the default shape
(the right triangle shown below) or define your own (see right). 


You need to supply the 2x2 matrix for
the transformation, pressing the OK button when finished. 




Simult 3x3
This program solves 3x3 systems of
simultaneous linear equations using a matrix. The RREF function is
used for this. (4,2,3)
For example:
x+y=6
2xz=11
3y+z=3 


If there is no solution or infinite
solutions to the system then the program reports this. For example,
changing the third equation to 2y+z=3 results in the "Infinite
solutions" message shown right, since it then becomes a linear
combination of the first two equations. 


Matrix^N
This program will raise any of matrices
M1...M5 to any given integer power, storing the result in any of
M1...M5. The example right shows a 3x3 matrix in M1 being raised to
the power 3 and stored into M2 




