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Question: What is Sense ?

Answer:

When a shape is traced out in a clockwise direction, its image after a reflection is traced out in an anti-clockwise direction. In every other way the object and its image are the same. What has changed is its sense.

In the same way, a right glove or shoe is in the opposite sense to its partner, the left glove or shoe. It is this property of a reflection which distinguishes it from all the other common transformation such as translation rotations and enlargements.

Whenever the determinant of a matrix is negative, the transformation it produces will change the sense of any shape on which it operates.