Linear Algebra in Real Life

U ovom završnom radu navest ćemo nekoliko primjena linearne algebre u svakodnevnom životu. U prvom dijelu rada definirat ćemo matrice, navest ćemo matrične operacije, iskazati i dokazati svojstva množenja matrica i objasniti dva primjera u kojima se koristi primjena matričnog zapisa i produkta matrica. U drugom dijelu navest ćemo teorijski dio vezan uz sustave linearnih jednadžbi i pokazati primjenu u kemiji, preciznije, u kemijskim reakcijama. Na samom kraju rada pokazat ćemo zanimljive transformacije u računalnoj grafici koje koriste rezultate linearne algebre te ćemo ih slikovno prikazati preko primjera.In this final paper, we will list several applications of linear algebra in everyday life. In the first part of the paper we will define matrices, list matrix operations, state and prove the properties of matrix multiplication and explain two examples in which the application of matrix notation and matrix product is used. In the second part, we will present the theoretical part related to systems of linear equations and show the application in chemistry, more precisely, in chemical reactions. At the very end of the paper, we will show interesting transformations in computer graphics that use the results of linear algebra and we will illustrate them with examples