Kunze Linear Algebra · Problem 1.4.1

Systems of Linear Equations

Mathematics — Methods · row-reduction-homogeneous-system

Problem

Find all solutions to the following system of equations by row-reducing the coefficient matrix: 13x1+2x2−6x3=0\tfrac{1}{3}x_1 + 2x_2 - 6x_3 = 0 −4x1+2x2+5x3=0-4x_1 \phantom{{}+2x_2} + 5x_3 = 0 −3x1+6x2−13x3=0-3x_1 + 6x_2 - 13x_3 = 0 −73x1+2x2−83x3=0-\tfrac{7}{3}x_1 + 2x_2 - \tfrac{8}{3}x_3 = 0

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