Abstract & Linear Algebra

Abstract & Linear Algebra

Explain the General Relationship between Abstract Algebra and Linear Algebra

Expertise in the use of abstract algebra concepts is essential to address issues in linear algebra. For this reason, the first unit will recapitulate the algebraic structures studied in Algebra I: group, ring, integral domain, body, and then introduce the study of vector spaces, structure that is based on linear algebra. The meaning of algebra includes “restoration" of the balance by the transposition of terms in an equation. But algebra has its origins in Egypt and Babylon in the second millennium BC when these civilizations used ...