Find the characteristic polynomial, the eigenvalues and a basis of eigenvectors associated to each eigenvalue for the matrix -17 -32 16 3 3 3 4 43 -8 A = 9 9 -40 9 -52 53 9 9 9 a) The characteristic polynomial is p(r) = det(ArI) = b) List all the eigenvalues of A separated by semicolons. c) For each of the eigenvalues that you have found in (b) (working from smallest to largest) give a basis of eigenvectors. If there is more than one vector in the basis for an eigenvalue, write them side by side in a matrix. If there are fewer than three eigenvalues, enter the zero vector in the answer fields that are not needed. i) Give a basis of eigenvectors associated to the smallest eigenvalue: b sin (a) ə əx ∞ α Ω a ii) If there is a second eigenvalue (the second-smallest), give a basis of eigenvectors associated to this eigenvalue. Otherwise, write the null vector. b sin (a) ə əx a Ω ܨܩܕ a E C

Q: Please solve without AI and clear handwriting. Thanks

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