lecture11 - Vectors in Rn Definition and Properties We...

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Vectors in R n Definition and Properties We assume that you are already familiar with vectors in R 2 and R 3 , so that you will see that the definition extends naturally. A vector in R n is a n x 1 matrix. The set of all vectors in R n is called n-space . We define the sum and difference of two vectors and the product of a scalar and a vector by just realizing that vectors are matrices. Example Let then Properties of Vectors Vectors enjoy the following properties. If u , v , and w are vectors and c and d are scalars, then 1. u + v = v + u