Linear Algebra Exam 2

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A set S of vectors in V (S >= V) is a ________ of V if

  1. for all x, y in S, x+y in S

  2. for all x in S and all scalars a, ax in S

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2

columns

every matrix vector product is a linear combination of the ______ of the matrix

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3

span

the ____ of a set of vectors is the set of all possible lin. combs. of v1,…,vn

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4

linearly independent

the vectors are ________ ________ if c1v1 +…+cnvn = 0 implies the coefficients = 0

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5

dimension

the ________ of a v.s. V is the number of vectors in a basis for V

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