Real, Distinct Eigenvalues. If the eigenvalues of the matrix A are real and distinct, then...

Real, Distinct Eigenvalues. If the eigenvalues of the matrix A are real and distinct, then the eigenvectors will be independent, providing the appropriate number of independent solutions for x′ = A x (see Example 4). Find the general solution of each of the systems in Exercises. Please choose eigenvectors with integer entries.