1.3 - 1.7
Quiz yourself by thinking what should be in
each of the black spaces below before clicking
on it to display the answer.
Help!
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| *equal vectors | Vectors in R” whose corresponding entries are the same.
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| *linear combination | A sum of scalar multiples of vectors. The scalars are called the weights.
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| *span | {v1,.....vp} The set of all linear combinations of v1,....vp. Also, the subspace spanned ( or generated) by v1,....vp
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| 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.
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| 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.
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| Beautiful | Charifa
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Created by:
slonczt
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