MATH 304 Quiz: MATH 304 Binghamton Math304 Fall2018 Quiz1

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

Document Summary

Instructions: show all necessary work for each problem. 0 (1) (4 points) use row reduction to reduced row echelon form (rref) to nd all solutions x r4 to the linear system ax = 04. 1 in terms of some free variables. (2) (4 points) let b = b1 b2 b3 b4. Use row reduction to reduced row echelon form (rref) to nd the conditions on the entries of b required for the linear system. Feingold: (4 points) use row reduction to reduced row echelon form (rref) to solve the linear system by row reducing. The solutions in terms of free variables are (cid:12)(cid:12)(cid:12)(cid:12)(cid:12)(cid:12)(cid:12) 0 so x1 = 2r + 3s x2 = r 2s x3 = r r x4 = s r. X : (4 points) for b = b1 b2 b3 b4. R4 nd conditions on the entries of b for the system.