Unformatted text preview: ) has distinct eigenvalues 5, 3, 0, 2, 4 with multiplicities 2, 2, 1, 3, 3. Suppose the eigenvalues 5, 3, 2 have 2 linearly independent eigenvectors, while the remaining eigenvalues 0, 4 have only one eigenvetor (up to scalar multiples). Find a possible Jordan form matrix of T. What is the characteristic polynomial of T? What is the determinant? Page 244: 8,11,12,13,14,16 Hint for 16: you may want to use number 1 above. 1...
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 Spring '08
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 Linear Algebra, Algebra, Polynomials, Vectors, #, linearly independent eigenvectors, nilpotent operator

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