### Linear Algebra Spans the Sciences

Let me walk you through the Vector Space of Science as we travel along the the
vector of Linear Algebra. Together we will explore the components of linear Algebra as
applied to problems in Chemistry, Biology, Physics and Sociology. We will not discuss
the linearly dependent vectors of mathematical sciences, as there are infinitely many
applications.

If you are intrigued by this invitation, then you'll enjoy seeing how I can write a linear
combination for two distinct molecules and determine their respective molecular weights,
as an application in Chemistry. You'll appreciate how a matrix simplifies
genotype/phenotype information from genetic analysis in the subspace of Biology.
Following along the Linear Algebra vector through Physics, I'll apply Gauss-Jordan
Elimination to predict a new aircraft's top speed. Finally, our vector will terminate in the
Subspace of Sociology, where I'll utilize a stochastic matrix to predict college student's
change of major behavior over the long-term.

By spanning the sciences with Linear Algebra, I hope to inspire educators and life-
long learners to rotate their approach to Science around the vector of Linear Algebra.

References:

Chemistry The Central Science
by: Brownand and Lemay, Jr.
An Introduction to Genetic Analysis Fourth Edition
by: Lavett
Mathematics with Applications Seventh Edition
by: Lial-Hungerford
Elementary Linear Algebra Fifth Edition
by: Larson/Edwards/Falvo