5 Answered Questions for the topic Eigenvalue

08/12/20

Please help me with this question

  is a square matrix. Select all statement(s) from below choices that are NOT correct.a.) If  then has only one solution for any b.) If  is an eigenvalue of  then we can always find two different... more

08/06/20

Given the first order linear homogeneous system of equations

Given the first order linear homogeneous system of equationsx'(t)=-x(t)+2y(t)y'(t)=-2x(t)+3y(t)Its coefficient matrix A=[-1 2] [-2 3]has two represented real eigenvalueλ1=λ2=1 but only one... more

08/03/20

Please help with ODE question.

Use the Eigenvalue Method to solve the following system of ODEs:  My answer was λ3 +3λ2-4=0Eigenvalues: 1, eigenvector: 1, -1, 1Eigenvalues: 2,eigenvector: -1, 1, 0

07/30/20

Please help with the following question

If one eigenvalue of a 2 by 2 matrix   is     and a corresponding eigenvector of   is   , then the general solution of the system ODEs:A.)is  B.) can't be determined. Solving the system requires... more

07/30/20

Please help with Eigenvalue question

Use the Eigenvalue Method to solve the following system of ODES:{x'(t)=x(t)+2y(t){y'(t)=-x(t)+4y(t)}

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