MATH 304 Quiz: MATH 304 Binghamton Math304 Fall2018 Quiz6

• School: Binghamton University
• Department: Mathematical Science
• Course: MATH 304
• Professor: All

Document Summary

Instructions: show all calculations and reasons needed to justify your answers. (1) (3 pts) let v = r2: find a basis for subspace w = (cid:26)(cid:20) a b d(cid:21) r2 c. 2 | a b + 2c 3d = 0(cid:27). (2) (2 pts) suppose s = {u1, u2, , um} is an independent subset of a vector space u and u hsi. Then t = {u1, u2, , um, u} must be since (3) (2 pts) suppose s = {v1, v2, , vn} spans v . Instructions: show all calculations and reasons needed to justify your answers. (1) (3 pts) let v = r2: find a basis for subspace w = (cid:26)(cid:20) a b d(cid:21) r2. 2 | a b + 2c 3d = 0(cid:27). c. Solution: since a = b 2c + 3d we can write any vector in w as (cid:20) b 2c + 3d c b d(cid:21) = b(cid:20) 1.