Abstract

This chapter defines the addition of vectors and the multiplication of vectors by scalars and discusses rules for adding coordinate vectors and multiplying them by scalars. But vector and matrix algebra are also used to solve nongeometric problems. In the sciences, physical, biological, and social data are often presented in the form of an array suitable for treatment as a matrix. Linear relations exist between quantities, with no particular geometric significance. It discusses the way by which the concept of vectors and matrices are modified to apply in such nongeometric contexts. In some sociological or biological studies, it is convenient to list the members of a population according to age groups.

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