Is the set linearly independent 2 3 4 60 2 1 54 4 7 7Solutio

Is the set linearly independent? {[2 3 4 6],[0 2 1 5],[4 4 7 7]}

Solution

no. because any set containinf zero is linealy dependent because for any cnot equal to zero c=0 .

In the definition, we require that not all of the scalars c1, . . . , cn are 0. The reason for this is that otherwise, any set

of vectors would be linearly dependent.