Abstract Linear Spaces
Abstract linear spaces are also called vector spaces, and they occur in a wide variety of mathematical settings. The most familiar examples are the finite dimensional Euclidean ...
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Linear Space
A linear space, also called a vector space, is a set with well-defined properties. First, a linear space must be defined over a field. This field is often the field of real numbers or the...
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Vector Algebra
A vector is formally, an element of a vector space. A vector has two components: a direction (or vector) component and a scalar component. For example, gravity is vector: the direction ...
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Vector Spaces
The primary example of a vector space is Rn, the set of ordered n-tuples of real numbers. If v = (v1,...,vn) w =(w1,..,wn) are elements of Rn then v + w is defined to be (v1 + w1,...,vn ...
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Abstract Linear Spaces