Abstract
The linear functional is central to the study of linear programming. The quadratic form is frequently useful in statistics, engineering, and physics. This chapter discusses each of these types of functions. Let V be a vector space over the field F. A linear transformation of V into F is called a linear functional on V. The set of all linear functionals on V is denoted by V*. A linear functional on V is a scalar-valued function ƒ defined on V that has the property ƒ( au + bv) = aƒ(u) + bƒ(v) for all u, v Є V. V* is a vector space over F. There are several interesting relations between V and V*. The matrix of the real quadratic form q relative to x1, x2, …, xn is unique.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
