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

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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
Transcribed Image Text: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
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