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What is vector space?
A vector space is an algebraic structure with two binary operations, + and *, that satisfy the following axioms: 1) Associativity: a + ( b + c ) = ( a + b ) + c 2) Commutativity: a + b = b + a 3)...
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What is fundamental about the Fundamental Theorem of Calculus?
Calculus consists of two main topics -- differentiation and integration. Differentiation is concerned with 'rates of change', for example the rate at which the position of a moving object is changing...
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What is the proof of the ''Fundamental Theorem of Algebra''?
The Fundamental Theorem of Algebra: If P(z) = Σnk=0 akzk where ak Є C, n ≥ 1, and an ≠ 0, then P(z0) = 0 for some z0 Є C. Descriptively, this says that any nonconstant polynomial over the...
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What is physical interpretation of vector space?
A vector has two properties: magnitude and direction. The representation of a vector is an arrow. The tip of the arrow points to the direction the vector is acting. The length of the arrow represents...
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What are the practical applications of vector spaces?
Communication, navigation and Location, Location and location. ( space, terrestrial and atomic).
