Visualizing Matrix Bases and Transforms

Requires a Wolfram Notebook System
Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.
There are
transformations that can be produced using matrices with just the three integers
. Some 33 of these are degenerate, in that the transformed matrix loses a dimension and has a zero determinant. This Demonstration considers all of these cases, initially with the unit matrix as the base to be transformed. Deselect the checkbox to use an arbitrary base matrix of a different size. Transform number 69 is the identity matrix and number 53 is its transpose, the antidiagonal matrix.
Contributed by: Roger J. Brown (June 13)
Open content licensed under CC BY-NC-SA
Details
This Demonstration complements Change of Basis in 2D.
Snapshots
Permanent Citation