Determine whether the following sets of vectors are linearly independent. A)S={(2,-1,3),(1,1,-2),(3,-3,8)} B)T={(1,2,1,0,0),(1,1,0,1,1),(1,0,0,1,1)}

Question

determine the sets of vectors are linearly independent or not please explain step by step.

Answer 1

The 1st set of vectors is linearly dependent since (1,1,-2)-2(2,-1,3)+(3,-3,8)=(0,0,0).

The 2nd set of vectors is linearly independent.