A Linear Tranformation with 2 Grids

Nothing Fancy. Below is a visual representation of a linear transformation using domain (beige F) and co-domain (green F) grids with an inverse transformation back to the domain grid (pink F)

The vectors on the left control the inverse image. Try to match up the pink F exactly on top of the beige F. When you do this, you have found the inverse matrix!

Pay attention to the fact that each parallelogram cell on the right is transformed to a corresponding parallelogram cell on the left by the inverse transformation.

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Steve Phelps, Created with GeoGebra