Question

Show that the vectors x1=[1,2,4] , x2=[3,6,12] are linearly dependent

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Answer 1

Answer:

Let A = { v 1, v 2, …, v r } be a collection of vectors from Rn . If r > 2 and at least one of the vectors in A can be written as a linear combination of the others, then A is said to be linearly dependent. The motivation for this description is simple: At least one of the vectors depends (linearly) on the others. On the other hand, if no vector in A is said to be a linearly independent set. It is also quite common to say that “the vectors are linearly dependent (or independent)” rather than “the set containing these vectors is linearly dependent (or independent).”

Answer 2

Answer:

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