MA 35100 Lecture Notes - Lecture 5: Solution Set, Augmented Matrix, Coefficient Matrix
Document Summary
Equivalent systems : systems have the same solution set. Goal : develop an algorithm for solving linear systems. 2x - 4g = 6 take 2 " from . 4g = 3 zy - 10 = 4g+3. If you have 0 = c where c is a non - zero scalar , you have an inconsistent system e : + y = 5. To describe the solution set , use aparameter:wm. Set y = t and solve for can write as :[ 5] = [ ] + t [it] . 0 = 0 no new info from second equation. Not enough information to solve the system : infinitely many solutions : equivalent system. Every point on the line is a solution: our algorithm will show that a linear system has either : , or infinitely many inconsistent insistent general systems of lis m equations in a 1x1 +9,242+9xh = b,
