Now that we have practiced finding our eigenvalues 1-R 2 becomes has eigenvalues R, = 2 and R, = - 3 -4-R We need to plug the values of R back into our matrix to get two brand new matrices that we will use to find our eigenvectors. 1-2 2 2 6 2 and A2 3 -4-2 -6 3 -4--5 3 1 Given the matrix and its eigenvalues 3-R -3 becomes has eigenvalues R, = -3 and R, = 2 2 -4-R Find the new matrices (A, and A2) for the matrix. 6 -3 1 -3 A and A2 %3D 2 -1 3. B A, and A2 6. 1-3 and A2 2 -6 5 -3 (D and A2 2 -6 2-3 E and A2 2 3

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