Answer to Question #322529 in Linear Algebra for Reba

Question

Find all solutions for each of the following systems of equations (if the system is consistent):

(a) 6.5x − 2y = 7 (b) 3.5x1 + 4.5x2 + 5.5x3 = 11

2x − 0.75y = 1.75 x1 + 4x2 − 7x3 = −16

12x − y = 21 0.5x1 − 0.75x2 + 0.75x3 = 3.5

(c) − 0.75x1 + 0.75x2 = −6 (d) 3.4x1 + 3.4x2 − 15.3x3 = −20.4

2.5x1 + 2x2 − 4.5x3 = 2 0.5x1 + 0.25x2 − 0.75x3 = 1

1.25x1 + 1.25x2 − 2.5x3 = 0 0.75x1 + 0.5x2 − 1.5x3 = 1

Please note: You should use Matlab to write your systems in reduced row echelon form, but have to

interpret the results and give the solution(s) if the system is consistent.