Solve the given linear system by any method. (2x - y - 3z = 0), (x + 2y - 3z = 0), (x + y + 4z = 0). **I used Row-Echelon form and got the answer "The homogeneous linear system has a trivial solution of x = y = z = 0." Is this correct?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
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Chapter7: Conic Sections And Quadratic Systems
Section7.4: Solving Nonlinear Systems Of Equations
Problem 56E
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Solve the given linear system by any method. (2x - y - 3z = 0), (x + 2y - 3z = 0), (x + y + 4z = 0). **I used Row-Echelon form and got the answer "The homogeneous linear system has a trivial solution of x = y = z = 0." Is this correct? 

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