How do you prove a vector space over a field?

Question

How do you prove a vector space over a field? How do you find the basis of a vector space? How do you prove a set of vectors is a basis?

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Midterm 2 Study Guide  Monday, October 16, 2017 9:52 PM     A. Vector Spaces        a.A vector space is closed under addition, linear combination, scaling, and contains the            zero vector    B. Basis for vector spaces        a.  A set of vectors that are linearly independent that span a vector space        .               b. A standard basis for a normal R     n*nvector space is made up of vectors:            e1, e2, …, en.               i. Where:             c.  We represent a number in a basis in matrix form as a collection of values for each             basis vector.                            What you'll be asked:              i. Find [x] , or the vector in the standard basis for P , representing this polynomial

How do you prove a vector space over a field?

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Linear Algebra and Differential Equations LINEA 54 - Vivek Shende - MATH 54

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How do you prove a vector space over a field?

How do you prove a vector space over a field?

Other study guides from Linear Algebra and Differential Equations LINEA 54 - Vivek Shende - MATH 54

Others also asked

Discussion and review:

Other study guides from
Linear Algebra and Differential Equations LINEA 54 - Vivek Shende - MATH 54