Question

Find whether or not the following set of vectors are LD or LI, if LD find the relation

between them {1 = (1, −2, −4), 2 = (4, −7, −5), 3 = (−3,5,7), 4 = (0,1,5)}.​

Answer 1

Answer:

Linear Independence

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 indeds