Problem 1. (1 paint) Problem 3. (i paint) 10 Let u - fure the vectors lin- . and - -28 early independent? We want to determine by inspection (with minimal computation) if {u, w) is linearly dependent or independent. . Choose - linearly dependent Choose the best answer. - linearly independent . A. The set is linearly dependent because one of the vec- tors is the zero vector If they are linearly dependent, find scalars that are not all zero . B. The set is linearly dependent because one of the vee- such that the equation below is true. If they are linearly indepen tors is a scalar multiple of another vector. dent, find the only scalars that will make the equation below true. . C. The set is linearly dependent because the number of vectors in the set is greater than the dimension of the vee- for space. . D. The set is linearly dependent because two of the vee- 1-131-(31 tours are the same. . E. The set is linearly independent because we only have two vectors and they are not scalar multiples of each other. . F. We cannot easily tell if the set is linearly dependent or linearly independent. Problem 4. (1 point) Which of the following sets of vectors are linearly independent? (Check the boxes for linearly independent sets.) Problem 2. (1 paint) Led- and c- 10 16 Are A,8 and C linearly dependent, or are they linearly indepen dent? . Linearly independent . Linearly dependent If they are linearly dependent, determine a non-trivial linear rela- tion. Otherwise, if the vectors are linearly independent, enter O's for the coefficients, since that relationship always holds.Problem 5. (1 point) Determine which of the following sets of vectors are linearly in- dependent and which are linearly dependent. Problem &. (1 paint) The vectors 17 16 . - [2 . ]. . are linearly independent if and only if & Problem 7. (1 paint) If & is a real number, then the vectors (1, $), (4, 34 + 40) are lin- early independent precisely when where am_be_ anda c b