click below
click below
Normal Size Small Size show me how
MATH_260 Test2
1.3 - 1.7
Question | Answer |
---|---|
*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 |