Use the parametric equations to describe the solution sets of the given linear systems.6 x 1 + 2 x 2 3 x 1 + x 2 = − 8 = − 42 x − y + 2 z 6 x − 3 y + 6 z − 4 x + 2 y − 4 z = − 4 = − 12 = 8 2. Solve the given linear system by both Gaussian and Gauss-Jordan elimination.− 2 b + 3 c 3 a + 6 b − 3 c 6 a + 6 b + 3 c = 1 = − 2 = 5

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Use the parametric equations to describe the solution sets of the given linear systems. 6 x 1 + 2 x 2 3 x 1 + x 2 = − 8 = − 4 2 x − y + 2 z 6 x − 3 y + 6 z − 4 x + 2 y − 4 z = − 4 = − 12 = 8

Use the parametric equations to describe the solution sets of the given linear systems. 6 x 1 + 2 x 2 3 x 1 + x 2 = − 8 = − 4 2 x − y + 2 z 6 x − 3 y + 6 z − 4 x + 2 y − 4 z = − 4 = − 12 = 8

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter6: Linear Systems

Section6.2: Guassian Elimination And Matrix Methods

Problem 86E

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Question

Use the parametric equations to describe the solution sets of the given linear systems.
1. 6 x 1 + 2 x 2 3 x 1 + x 2 = − 8 = − 4
2. 2 x − y + 2 z 6 x − 3 y + 6 z − 4 x + 2 y − 4 z = − 4 = − 12 = 8
  
  2. Solve the given linear system by both Gaussian and Gauss-Jordan elimination.
  
  − 2 b + 3 c 3 a + 6 b − 3 c 6 a + 6 b + 3 c = 1 = − 2 = 5

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