The eigenvalues of the matrix A are given below. Match themto the appropriate phase portraits of the system X'(t) = AX(t).X1,2 = -1, -2A1,2 3,-1X1,2 = ±2iA1,2 =130.80.60.40.20-0.2-0.4-0.6-0.8-1-1ABCD1-0.8 -0.6 -0.4 -0.2 0x(t)0.80.60.40.20-0.2-0.4-0.6-0.8-1Phase Portrait-1Phase Portrait-0.8 -0.6 -0.4 -0.20.2 0.4 0.6=0x(t)1/2±i0.8 10.2 0.4 0.60.8 1240.80.60.40.2-0.2-0.4-0.6-0.8-1-1-0.8 -0.6 -0.40.80.60.40.2果。-0.2-0.4-0.6'-0.8-1-1Phase Portrait-0.20 0.2 0.4 0.6x(t)Phase Portrait-0.8 -0.6 -0.4 -0.20x(t)0.20.40.8 10.60.81

The eigenvalues of the matrix A are given below. Match them to the appropriate phase portraits of the system X'(t) = = AX(t). X1,2 = -1, -2 X1,2 = 3, -1 X1,2 A₁,2 = ±i X1,2 1 3 0.8 0.6 0.4 0.2 -0.2 -0.4 -0.6 -0.8 -1 -1 A B C D -0.8 1 0.8 0.6 0.4 0.2 -0.2 -0.4 -0.6 -0.8 -1 -1 Phase Portrait -0.6 -0.4 -0.2 0 0.2 0.4 0.6 x(t) Phase Portrait = = ±2i -0.8 -0.6 -0.4 -0.2 0 x(t) 0.8 1 0.2 0.4 0.6 0.8 1 2 4 1 0.8 0.6 0.4 0.2 -0.2 -0.4 -0.6 -0.8 -1 -1 -0.8 -0.6 -0.4 0.8 0.6 0.4 0.2 -0.2 -0.4% -0.6 -0.8 -1 -1 -0.8 Phase Portrait -0.2 -0.6 -0.4 0.2 0.4 0.6 0 x(t) Phase Portrait -0.2 0 x(t) 0.2 0.4 0.8 0.6 1 0.8 1

The eigenvalues of the matrix A are given below. Match them to the appropriate phase portraits of the system X'(t) = = AX(t). X1,2 = -1, -2 X1,2 = 3, -1 X1,2 A₁,2 = ±i X1,2 1 3 0.8 0.6 0.4 0.2 -0.2 -0.4 -0.6 -0.8 -1 -1 A B C D -0.8 1 0.8 0.6 0.4 0.2 -0.2 -0.4 -0.6 -0.8 -1 -1 Phase Portrait -0.6 -0.4 -0.2 0 0.2 0.4 0.6 x(t) Phase Portrait = = ±2i -0.8 -0.6 -0.4 -0.2 0 x(t) 0.8 1 0.2 0.4 0.6 0.8 1 2 4 1 0.8 0.6 0.4 0.2 -0.2 -0.4 -0.6 -0.8 -1 -1 -0.8 -0.6 -0.4 0.8 0.6 0.4 0.2 -0.2 -0.4% -0.6 -0.8 -1 -1 -0.8 Phase Portrait -0.2 -0.6 -0.4 0.2 0.4 0.6 0 x(t) Phase Portrait -0.2 0 x(t) 0.2 0.4 0.8 0.6 1 0.8 1

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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