Consider the initial value problem for the vector-valued function x, -1 x' = Ax, A = 1 x(0) = Find the eigenvalues A1, A2 and their corresponding eigenvectors v1, V2 of the coefficient matrix A. (a) Eigenvalues: (if repeated, enter it twice separated by commas) d1, A2 = 1, 1 Σ (b) Eigenvector for A1 you entered above: V1 = <1,1> Σ (c) Either the eigenvector for A2 you entered above or the vector w computed with v, entered above in case of repeated eigenvalue: 1 Either v2 or w = <0, -1> Σ (d) Find the solution x of the initial value problem above. x(t) = Σ Note: To enter the vector (u, v) type .

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