• CHINU GOYAL

This is compilation of historical information from various sources, about what linear algebra is? , Its origin and applications. The information has been put together for students who are curious about the origin and applications of the subject. Linear algebra is study of certain algebraic structure called a vector space, study of linear sets of equations and its transformation properties. It is branch of mathematics that deals with the finite dimensional vector spaces and linear mappings. Around 4000 years ago, the people of Babylon knew how to solve a simple 2x2 system of linear equations with two unknowns. Around 200 BC, the Chinese published that “Nine chapters of Mathematical Art “ they displayed ability to solve 3x3 system of equations. Linear Algebra is widely used in the fields of Math, Science, and Engineering. Linear algebra plays an important role to determine unknown quantities. Some real life applications of linear algebra are calculation of speed, time and distance, used for projecting a three dimensional view into a two dimensional plane, handled by linear maps. Cryptography and Game theory are its other applications.

Algebra, origin , vector space,matrix, cayley

"Origin and applications of linear algebra ", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.12, Issue 10, page no.a242-a245, October-2025, Available :http://www.jetir.org/papers/JETIR2510030.pdf

"Origin and applications of linear algebra ", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.12, Issue 10, page no. ppa242-a245, October-2025, Available at : http://www.jetir.org/papers/JETIR2510030.pdf