More Linear Programming and Algebra

Abstract

We have considered only a few of the properties of sets, vectors and matrices. In doing so we have had two limited but important objectives. One of these has been to give the reader a feel of things which enables him to think of a matrix as a set of vectors, and of a vector as a set of elements; to appreciate that a problem in n dimensions may be viewed as one in geometry or as one in algebra; and to be able to think of a problem in whatever terms may be most appropriate. The other objective has been that of developing a few results, and introducing a few ideas, which are fundamental in that so much else is built upon them. If the reader, as a consequence, really understands linear independence, equivalance and rank he will be able to understand other theory which is developed in these terms.

Who brought me hither

Will bring me hence; no other guide I seek.

J. Milton