Professor David Eubanks from Coker College in Hartsville, S.C., will discuss “Visualizing Matrices” in the second Center for Applied Mathematics talk this fall. His talk, drawn from work he has done with an undergraduate student, will begin at 3 p.m. Wednesday, Oct. 20, in 3M Auditorium, Owens Science Hall. Refreshments will be available at 2:45 p.m.
How do you draw a picture of a matrix? Eubanks will investigate the mapping of the unit circle back into the plane by multiplying by a 2 x 2 matrix. By noticing some recurrent patterns in the nature of these transformed orbits, one can deduce a decomposition of the original matrix into rotations and stretches. The result is the famous and useful singular value decomposition.
Eubanks earned his B.S., M.A., and Ph.D. from Southern Illinois University at Carbondale. He has been at Coker College since 1991. His primary mathematical interests are in the field of numerical analysis. He also is an accomplished computer programmer — he has written software to accompany a textbook as well as a couple of computer games.