Abstract

A row vector is an ordered set of numbers written in a row. Each entry of a row vector is called a component, and the number of components of the vector is called its dimension. Some examples of row vectors are A = (1, −2), B = (− l, ½, 6), and C = (6, −12, −, 5). The dimensions of the vectors A, B, and C are two, three, and four, respectively. In general, V=(v1, v2,…,vn) is a row vector of dimension n. Analogously, a column vector is defined as an ordered set of numbers written in a column. In this too, each entry of the vector is called a component and the dimension of the column vector is the number of its components. The vector is an example of a column vector of dimension 4. The multiplication of two vectors is defined when they both have the same dimension and when the first vector is a row vector and the second vector is a column vector.

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