Introduction to Linear Algebra, introduces the ideas of independent columns and the rank and column space of a matrix early on for a more active start. Then the book moves directly to the classical ...

Elementary set theory and solution sets of systems of linear equations. An introduction to proofs and the ... Inner products. Matrix algebra. Applications of the above will also be discussed.

Linear transformations. Linear operators, change of basis, inner product and the diagonalization problem. Quadratic forms. Convex sets and geometric programming, input/output models for an economy, ...