4) (1) Consider the linear system: x₁ - 2x3 =1 -x₁ + x₂ = 3 x₂ - 2x₂ = 0 Determine if this system is consistent or not. If it is consistent, give either its single unique solution or its general solution. (ii) Now consider the corresponding homogeneous system: x₁ −2x₂=0 - -x₁ + x₂ = 0 x2₂ - 2x₂ = 0 Determine if this system is consistent or not. If it is consistent, give either its single unique solution or its general solution.

4) (1) Consider the linear system: x₁ - 2x3 =1 -x₁ + x₂ = 3 x₂ - 2x₂ = 0 Determine if this system is consistent or not. If it is consistent, give either its single unique solution or its general solution. (ii) Now consider the corresponding homogeneous system: x₁ −2x₂=0 - -x₁ + x₂ = 0 x2₂ - 2x₂ = 0 Determine if this system is consistent or not. If it is consistent, give either its single unique solution or its general solution.

Algebra for College Students

10th Edition

ISBN:9781285195780

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter11: Systems Of Equations

Section11.5: Cramer's Rule

Problem 35PS

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