LAS - Linear Algeberaic Shell is a command based matrix transformation visualizer for 2D space.
You can use vector, vec, or v to create vectors, it takes two number arguments. For example:
>>> vec x y
>>> vector (cos x) y
>>> v x (sin y)
>>> v (cos x) (sin y)
You can apply a matirx transformation to the space using transform or t for short. It takes 4 number arguments m11 m12 m21 m22 in that order. For example:
>>> t m11 m12 m21 m22
You can use rotate, rot, or r to rotate the space. It takes the degree as an argument and not a radian. Rotate is basically just a specialization of the transform command that applies the matrix with first row [cos(deg) -sin(deg)] and second row [sin(deg) cos(deg)]. Examples:
>>> rot 90
>>> rotate 180
You can use reset to reset the state of the world, reverse all transformations and remove all displayed vectors.
The following commands:
>>> v 1 0
>>> v 0 1
>>> t 2 0 0 2
>>> t 1 0 1 1
>>> t 0.5 0 0 0.5
would create the two basis vectors, scale the whole space by a factor of 2, take the basis vector (1 0) to (1 1), and then scale back to the original factor.
If you find a bug or just wanna chit chat then send me an email at nullp0tr at gmail dot com. You can also directly contribute to the project on github :)