# A λ i n λ 1 λ λ 2 λ λ n λ we conclude that the

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AλIn) = (λ1λ)(λ2λ)(λnλ), we conclude that the product of theeigenvalues is equal to the constant term of the characteristic polynomial.True. Since det(Aλ2In) = (λ1λ2)(λ2λ2)(λnλ2), we conclude that the product ofthe eigenvalues is equal to the constant term of the characteristic polynomial.False. Since det(Aλ2In) = (λ1λ2)(λ2λ2)(λnλ2), we conclude that the product ofthe eigenvalues is equal to the leading coefficient of the characteristic polynomial.False. Since det(AλIn) = (λ1λ)(λ2λ)(λnλ), we conclude that the product of theeigenvalues is equal to the leading coefficient of the characteristic polynomial.False. Consider.1001
11/30/2017UW Common Math 308 Section 6.114.4/4 points |Previous AnswersHoltLinAlg2 6.1.047.Suppose thatAis a square matrix with characteristic polynomial(a) What are the dimensions ofA? (Givensuch that the dimensions are(b) What are the eigenvalues ofA? (Enter your answers as a comma-separated list.)(c) IsAinvertible?6
9/9(d) What is the largest possible dimension for an eigenspace ofA?3
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