Let : IRn → IRn be a linear operator whose characteristic polynomial of T e: pT (λ) = λ (λ2 − 1) (λ − 2)3 Rate as true (T) or false (F): (I) T and one-to-one linear transformation. (II) The algebraic multiplicity of the eigenvalue 1, ma(1), is equal to 2. (III) T and surjective linear transformation.
Let : IRn → IRn be a linear operator whose characteristic polynomial of T e: pT (λ) = λ (λ2 − 1) (λ − 2)3 Rate as true (T) or false (F): (I) T and one-to-one linear transformation. (II) The algebraic multiplicity of the eigenvalue 1, ma(1), is equal to 2. (III) T and surjective linear transformation.
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
Problem 16CM
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Let : IRn → IRn be a linear operator whose characteristic polynomial of T e:
pT (λ) = λ (λ2 − 1) (λ − 2)3
Rate as true (T) or false (F):
(I) T and one-to-one linear transformation.
(II) The algebraic multiplicity of the eigenvalue 1, ma(1), is equal to 2.
(III) T and surjective linear transformation.
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