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  3. a. let a be a square matrix with integer entries.

a. Let A be a square matrix with integer entries. Prove that if lambda is a...

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Advance Math

a. Let A be a square matrix with integer entries.Prove that if lambda is a rational eigenvalue of A then in factlambda is an integer.

b. Prove that the characteristic polynomial of thecompanion matrix of a monic polynomial f(t) equals f(t).

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