A linear system in echelon form is necessarily a consistent linear system. True

Is the following system of equation consistent? If so, determine which variables are free variables in the system of linear equation. X1 + 3x2 - 2x3 + 2x5 = 0 2x1 + 6x2 - 5x3 - 2x4 +4x5 = -1 5x3 + 10x4 = 5 %3D Ox 4 consistent Ox_1 Ox_3 O not consistent Ox 2 x_5

Reflect on the concepts of linear and non-linear systems. Is/are there any occurring fact(s) that can be interpreted as linear systems and non-linear systems? What strategies can one use to compose a graph of linear systems and non-linear systems?

If a solution to a linear system has a free parameter, then the system is consistent. True False