Given the correct eigenvalues above and the eigenvectors below, what isthe general solution of the system:dx1= 2x yK₁ = ( ²¹₁ ) K² = ( 9 ) + + - ² +dtdy= -XdtX = 4₁₂ (²¹) e² + ²₂ (1) e²O Ax=₂(₁) +(¹₁)te+ (¹)et]O CX = G₁₂ (¹₁) e¹ + ₁₂ (¹₁) e² + (e¹]OBX = G(²¹) e² + a₂ (²¹) ²C₁O D

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Given the correct eigenvalues above and the eigenvectors below, what is the general solution of the system: dx 1 = 2x y dt K₁ = ( ²¹₁ ) K² = ( 9 ) + + - ² + dy = -X dt X = 4₁₂ (²¹) e² +²₂ (1) e² O A x-₁()+(¹₁)¹ + (¹) O C X = ₁₁ (¹₁) e² + ₁₂[( ¹1₁ ) e² + (9) e²] OB x = a (²¹) e² + a₂ (²¹) e² O D

Given the correct eigenvalues above and the eigenvectors below, what is the general solution of the system: dx 1 = 2x y dt K₁ = ( ²¹₁ ) K² = ( 9 ) + + - ² + dy = -X dt X = 4₁₂ (²¹) e² +²₂ (1) e² O A x-₁()+(¹₁)¹ + (¹) O C X = ₁₁ (¹₁) e² + ₁₂[( ¹1₁ ) e² + (9) e²] OB x = a (²¹) e² + a₂ (²¹) e² O D

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter7: Eigenvalues And Eigenvectors

Section7.1: Eigenvalues And Eigenvectors

Problem 65E

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