Question

define vector space with an example

Answer 1

Answer:

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Step-by-step explanation:

Definition: A vector space is a set V on which two operations + and are called vector addition and scalar multiplication.

Example of Vector Spaces

Addition is defined as adding the corresponding parts of each element: (a, b, . . . ) + (c, d, . . . ) = (a + c, b + d, . . .). Scalar multiplication is defined as multiplying every part of the element by the scalar: a(b, c, . . . ) = (ab, ac, . . . ).