Given the vectors (a) Are x1, x2, x3 x4 linearly independent in R3? Explain. (b) Do x1

Question:

Given the vectors

(a) Are x1, x2, x3 x4 linearly independent in R3? Explain.
(b) Do x1 and x2 span R3? Explain.
(c) Do x1, x2 and x3 span R3? Are they linearly independent? Do they form a basis for R3? Explain.
(d) Do x1, x2, and x4 span R3? Are they linearly independent? Do they form a basis for R3? Explain or prove your answers.