The Characteristic Polynomial of a 5 × 5 Matrix Is $$\lambda ^ { 5 } + 17 \lambda ^ { 4 } + 72 \lambda ^ { 3 }$$

question 13

Multiple Choice

The characteristic polynomial of a 5 × 5 matrix is given below. Find the eigenvalues and their multiplicities.
- $$\lambda ^ { 5 } + 17 \lambda ^ { 4 } + 72 \lambda ^ { 3 }$$

• A) 0 (multiplicity 1), 8 (multiplicity 1), 9 (multiplicity 1)
• B) 0 (multiplicity \(1 ), - 9\) (multiplicity \(1 ), - 8\) (multiplicity 1 )
• C) 0 (multiplicity 3), 8 (multiplicity 1), 9 (multiplicity 1)
• D) 0 (multiplicity 3), \(- 9\) (multiplicity \(1 ), - 8\) (multiplicity 1 )

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