Question: Homework: 2x2 Linear SystemsConsider the differential equation for the vector-valued function x,x'=Ax,A=[21-252]Find the eigenvalues 1,2 and their corresponding eigenvectors v1,v2of the coefficient matrix A.(a) Eigenvalues:1,2=Note:

Homework: 2x2 Linear SystemsConsider the differential equation for the vector-valued function x,x'=Ax,A=[21-252]Find the eigenvalues 1,2 and their corresponding eigenvectors v1,v2of the coefficient matrix A.(a) Eigenvalues:1,2=Note: You must enter two numbers separated by a comma.(b) Eigenvector for 1 you entered above:v1=(c) Eigenvector for 2 you entered above:v2=(d) Use the eigenpairs you found in parts (a)-(c)to find real-valued fundamental solutions to the differential equation above.x1=x2=Note: To enter the vector (:u,v:) type .

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