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A set S of vectors in V (S >= V) is a ________ of V if
for all x, y in S, x+y in S
for all x in S and all scalars a, ax in S
columns
every matrix vector product is a linear combination of the ______ of the matrix
span
the ____ of a set of vectors is the set of all possible lin. combs. of v1,…,vn
linearly independent
the vectors are ________ ________ if c1v1 +…+cnvn = 0 implies the coefficients = 0
dimension
the ________ of a v.s. V is the number of vectors in a basis for V
