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MATH_260 Test2

1.3 - 1.7

QuestionAnswer
*equal vectors Vectors in R” whose corresponding entries are the same.
*linear combination A sum of scalar multiples of vectors. The scalars are called the weights.
*span {v1,.....vp} The set of all linear combinations of v1,....vp. Also, the subspace spanned ( or generated) by v1,....vp
linearly independent* An indexed set {v1,...vp} with the property that the vector equation c1v1+c2v2+...cpvp=0 has a has ONLY the trivial solution, c1=>>>=cp=0. linear dependence relation.
linearly dependent* An indexed set {v1,...vp} with the property that there exist weights c1,...cp, not all zero, such that c1v1+....cpvp=0. That is, the vector equation c1v1+c2v2+...cpvp=0 has a nontrivial solution.
Beautiful Charifa
Created by: slonczt