Find the characteristics polynomial , the eigenvalues and a basis of cigenvectors associated to each eigenvalue for the matrix A = a ) The characteristic polynomial is . P ( r s = de + ( A - r I ) = ? b) List all eigenvalues of A seperated by semicolons . ( ) for each eigenvalue that you have found in ( b ) give a basis of eigen vectors. If there is more then I vector in the basis for a eigenvalue , write them side by side in a matrix If there are fewer than 3 eigenvalues, enter o vectors in unmeded ansevers below : i ) Give a basis ciganvalue/ vector associated to an eigenvalue. ill if there is a second eighvalue, give a basis of eigenvectors associated to eighvectors. Dijl if there is a third eigenvalue , give a basis eigenvalue