{"id":15916,"date":"2022-07-29T03:56:07","date_gmt":"2022-07-29T03:56:07","guid":{"rendered":"https:\/\/www.booksofall.com\/de\/?post_type=product&p=15916"},"modified":"2022-07-29T03:56:08","modified_gmt":"2022-07-29T03:56:08","slug":"fundamentals-of-matrix-algebra-hartman","status":"publish","type":"product","link":"https:\/\/www.booksofall.com\/de\/fundamentals-of-matrix-algebra-hartman\/","title":{"rendered":"Fundamentals of Matrix Algebra (Hartman)"},"content":{"rendered":"

This text deals with matrix algebra<\/a>, as opposed to linear algebra. Without arguing semantics, I view matrix algebra as a subset of linear algebra, focused primarily on basic concepts and solution techniques. There is little formal development of theory and abstract concepts are avoided. This is akin to the master carpenter teaching his apprentice how to use a hammer, saw and plane before teaching how to make a cabinet.<\/p>\n

Systems of Linear Equations<\/h3>\n

You have probably encountered systems of linear equations before; you can probably remember solving systems of equations where you had three equations, three unknowns, and you tried to find the value of the unknowns. In this chapter we will uncover some of the fundamental principles guiding the solution to such problems.<\/p>\n

Solving such systems was a bit time consuming, but not terribly difficult. So why bother? We bother because linear equations have many, many, many applications, from business to engineering to computer graphics to understanding more mathematics. And not only are there many applica\u019fons of systems of linear equations, on most occasions where these systems arise we are using far more than three variables. (Engineering applications<\/a>, for instance, often require thousands of variables.) So getting a good understanding of how to solve these systems effectively is important.<\/p>\n

Introduction to Linear Equations<\/h3>\n