In given problem, the eigenvalues of the coefficientc matrix can be found by inspection and factoring. Apply the eigenvalue method to find a general solution of each system. x'1 = 2x1 + x2 - x3, x'2 = -4x1 - 3x2- x3, x'3 = 4x1 + 4x2 + 2x3

In given problem, the eigenvalues of the coefficientc matrix can be found by inspection and factoring. Apply the eigenvalue method to find a general solution of each system. x'1 = 2x1 + x2 - x3, x'2 = -4x1 - 3x2- x3, x'3 = 4x1 + 4x2 + 2x3

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter6: Linear Systems

Section6.5: Determinants

Problem 72E

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Question

In given problem, the eigenvalues of the coefficientc matrix can be found by inspection and factoring. Apply the eigenvalue method to find a general solution of each system.

x'₁ = 2x₁ + x₂ - x₃, x'₂ = -4x₁ - 3x₂- x₃,

x'₃ = 4x₁ + 4x₂ + 2x₃

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