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A linear system x Ax with state variables r1(t) and z2(t) is defined by the equations: à = 621 + 8r2 %3D i2 = -9r1- 8r2 %3D Find the eigenvalues of A in the form A = a ± bj, where b > 0, and enter them in the boxes below to an %3D accuracy of two decimal places.

A linear system x Ax with state variables r1(t) and z2(t) is defined by the equations: à = 621 + 8r2 %3D i2 = -9r1- 8r2 %3D Find the eigenvalues of A in the form A = a ± bj, where b > 0, and enter them in the boxes below to an %3D accuracy of two decimal places.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.7: The Inverse Of A Matrix
Problem 30E
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A linear system x = Ax with state variables 1(t) and z2(t) is defined by the equations: %3D = 621 + 82 i2 = -9r1 - 8r2 Find the eigenvalues of A in the form A = at bj, where b> 0, and enter them in the boxes below to an accuracy of two decimal places. Enter a : to two decimal places Enter b: to two decimal places Determine whether this system is stable, unstable, or neither: Stable Unstable None of the above ONot answered Determine whether the long term behaviour of this system will be oscillatory, monotone, both, or neither: Oscillatory Monotone Both Neither ONot answered
Transcribed Image Text:A linear system x = Ax with state variables 1(t) and z2(t) is defined by the equations: %3D = 621 + 82 i2 = -9r1 - 8r2 Find the eigenvalues of A in the form A = at bj, where b> 0, and enter them in the boxes below to an accuracy of two decimal places. Enter a : to two decimal places Enter b: to two decimal places Determine whether this system is stable, unstable, or neither: Stable Unstable None of the above ONot answered Determine whether the long term behaviour of this system will be oscillatory, monotone, both, or neither: Oscillatory Monotone Both Neither ONot answered
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