Write down the definition of what it means for a set of vectors {v 1, ..., v k} R n to be a spanning set for R n. For each of the following sets of vectors in R 3, decide whether the given set is a spanning set for R 3. You should justify your answers. {(-1, 1, 1), (-1, 2, 1), (-5, 8, 5), (3. -1, -3)} {(-1, 1, 1),(1, 1, 2), (2, -1, -1), (3, -2, -3)}
Show transcribed image text Write down the definition of what it means for a set of vectors {v 1, ..., v k} R n to be a spanning set for R n. For each of the following sets of vectors in R 3, decide whether the given set is a spanning set for R 3. You should justify your answers. {(-1, 1, 1), (-1, 2, 1), (-5, 8, 5), (3. -1, -3)} {(-1, 1, 1),(1, 1, 2), (2, -1, -1), (3, -2, -3)}