Linear algebra

The three-dimensional Euclidean space R³ is a vector space, an lines an planes passin through the origin are vector subspaces in R³.

Linear algebra is the branch o mathematics concernin vector spaces, eften finite or coontably infinite dimensional, as well as linear cairtins atween such spaces. Such an investigation is initially motivatit bi a seestem o linear equations containin several unkents. Such equations are naiturally represented uisin the formalism o matrices an vectors.