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Please help 15 3 Consider the matrix A = -126 24 It is given that the eigenvalues of A are 3, 6 with corresponding eigenvectors

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15 3 Consider the matrix A = -126 24 It is given that the eigenvalues of A are 3, 6 with corresponding eigenvectors (6), (7(respectively). Hence solve the following IVP dx dt = -15 x + 3y, =(0) = 5, dy dt - -126 x + 24y, y(0) = 3. x(t = y (t) = P

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