WildLinAlg17: Rank and Nullity of a Linear Transformation

We begin to discuss linear transformations involving higher dimensions (ie more than three). The kernel and the image are important spaces, or properties of vectors, associated to a linear transformation. The corresponding dimensions are the nullity and the rank, and they satisfy a simple relationship which we derive.

This lecture looks in detail at one particular example, and we try to give a working understanding of four dimensional space and its picotiral representation.