What Real Life Examples Exist for an Inverse Linear Transform?

[matqkks]

I am trying to find a real life inverse linear transform which can be used to motivate students. Does anyone have an example or two? I am looking for an example which will have a real impact. Thanks in advance.

 

[HallsofIvy]

The "mapping" of points on a map to the corresponding points on the Earth is a linear transformation. (Providing it is not a map of the entire globe. The mapping from the Earth to a Mercator projection is not a linear transformation.)

 

[matqkks]

Sorry but should have said inverse linear transform.

 

[daveyp225]

Sorry but should have said inverse linear transform.

Introduce them to the Hill Cipher

 

[HallsofIvy]

The "mapping" of points on a map to the corresponding points on the Earth is a linear transformation. (Providing it is not a map of the entire globe. The mapping from the Earth to a Mercator projection is not a linear transformation.)

Sorry but should have said inverse linear transform.

??That is an inverse transformation, the inverse of the mapping from the Earth to the map. Every one to one linear transformation is the inverse of another.