Issue No.04 - July/August (2002 vol.22)
My March 1996 column ("Consider The Lowly 2 ?2 Matrix") was an exercise in building intuition about matrices. For the special case of the smallest possible matrix (2 ?2), I evaluated various matrix properties by explicit calculation. I find this sort of thing very informative because it gives a sense of concreteness to some of the more abstract matrix proofs. In overhauling that column for my new compilation book (<em>Jim Blinn's Corner: Notation, Notation, Notation</em>; Morgan Kaufmann, 2002), I added some graphical illustrations of the relationship between the various matrix properties. In this column, I want to show you some of those visualizations. We start out by reviewing the matrix properties we want to visualize.
James F. Blinn, "Visualize Whirled 2 x 2 Matrices", IEEE Computer Graphics and Applications, vol.22, no. 4, pp. 98-102, July/August 2002, doi:10.1109/MCG.2002.1016703