Let a, b, and c be elements of a field F, and let A be the...
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Let a, b, and c be elements of a field F, and let A be the following 3 3 matrix over F: 0 A 10 b Lo 1 a - Prove that the characteristic polynomial for A is x-ax - bx c and that this is also the minimal polynomial for A. Let a, b, and c be elements of a field F, and let A be the following 3 3 matrix over F: 0 A 10 b Lo 1 a - Prove that the characteristic polynomial for A is x-ax - bx c and that this is also the minimal polynomial for A.
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