## Question

###### Consider the differential equation for the vector-valued function XX =Ax A = 17: -25Find the eigenvalues 1,, 1z and their corresponding eigenvectors V1 , Vz of the coefficient matrix AEigenvalues:11,12Note: You must enter two numbers separated by comma-(b) Eigenvector for 1] you entered above:(c) Eigenvector for 1z 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:X]X2Note: To enter the vector (u, V)

Consider the differential equation for the vector-valued function X X =Ax A = 17: -25 Find the eigenvalues 1,, 1z and their corresponding eigenvectors V1 , Vz of the coefficient matrix A Eigenvalues: 11,12 Note: You must enter two numbers separated by comma- (b) Eigenvector for 1] you entered above: (c) Eigenvector for 1z 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: X] X2 Note: To enter the vector (u, V) type <u,v> .

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