MAT223H1 Chapter Notes - Chapter 2.1: Commutative Property, Additive Inverse, Euclidean Space
Document Summary
Linear algebra is the study of arithmetic operations per- formed on vectors. In very simple terms, a vector is an ordered list of num- bers, which are usually represented as a one-column ma- trix. A vector is an ordered list of real numbers u1, u2, . Therefore, a vector is denoted using boldface type while its components are expressed in italics. In other elds, such as physics, vectors are denoted by adding an arrow on top of the name. When a vector is expressed as a one-column matrix is called a column vector. However, there are applications where a vector is ex- pressed in terms of a one-row matrix. On those cases, it is called a row vector. There are three arithmetic operations concerning vectors that we must study. The set of all vectors in rn with this vector algebra is called. Let a, b be scalars in r, and let u, v and w be vectors in rn.
