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Given That λ\lambda = 1 Is an Eigenvalue of the Matrix B =

Question 37

Multiple Choice

Given that λ\lambda = 1 is an eigenvalue of the matrix B =  Given that  \lambda  = 1 is an eigenvalue of the matrix B =   , which of the following statements is true regarding the eigenvector of B associated with this eigenvalue  \lambda = 1? A)    is the only eigenvector of B associated with the eigenvalue  \lambda  = 1. B)     is an eigenvector of B, for any nonzero real constant  \alpha , associated with the eigenvalue  \lambda  = 1. C)     is an eigenvector of B, for any nonzero real constant  \alpha , associated with the eigenvalue  \lambda  = 1. D)    is the only eigenvector of B associated with the eigenvalue  \lambda  = 1. , which of the following statements is true regarding the eigenvector of B associated with this eigenvalue λ\lambda = 1?


A)  Given that  \lambda  = 1 is an eigenvalue of the matrix B =   , which of the following statements is true regarding the eigenvector of B associated with this eigenvalue  \lambda = 1? A)    is the only eigenvector of B associated with the eigenvalue  \lambda  = 1. B)     is an eigenvector of B, for any nonzero real constant  \alpha , associated with the eigenvalue  \lambda  = 1. C)     is an eigenvector of B, for any nonzero real constant  \alpha , associated with the eigenvalue  \lambda  = 1. D)    is the only eigenvector of B associated with the eigenvalue  \lambda  = 1. is the only eigenvector of B associated with the eigenvalue λ\lambda = 1.
B)  Given that  \lambda  = 1 is an eigenvalue of the matrix B =   , which of the following statements is true regarding the eigenvector of B associated with this eigenvalue  \lambda = 1? A)    is the only eigenvector of B associated with the eigenvalue  \lambda  = 1. B)     is an eigenvector of B, for any nonzero real constant  \alpha , associated with the eigenvalue  \lambda  = 1. C)     is an eigenvector of B, for any nonzero real constant  \alpha , associated with the eigenvalue  \lambda  = 1. D)    is the only eigenvector of B associated with the eigenvalue  \lambda  = 1. is an eigenvector of B, for any nonzero real constant α\alpha , associated with the eigenvalue λ\lambda = 1.
C)  Given that  \lambda  = 1 is an eigenvalue of the matrix B =   , which of the following statements is true regarding the eigenvector of B associated with this eigenvalue  \lambda = 1? A)    is the only eigenvector of B associated with the eigenvalue  \lambda  = 1. B)     is an eigenvector of B, for any nonzero real constant  \alpha , associated with the eigenvalue  \lambda  = 1. C)     is an eigenvector of B, for any nonzero real constant  \alpha , associated with the eigenvalue  \lambda  = 1. D)    is the only eigenvector of B associated with the eigenvalue  \lambda  = 1. is an eigenvector of B, for any nonzero real constant α\alpha , associated with the eigenvalue λ\lambda = 1.
D)  Given that  \lambda  = 1 is an eigenvalue of the matrix B =   , which of the following statements is true regarding the eigenvector of B associated with this eigenvalue  \lambda = 1? A)    is the only eigenvector of B associated with the eigenvalue  \lambda  = 1. B)     is an eigenvector of B, for any nonzero real constant  \alpha , associated with the eigenvalue  \lambda  = 1. C)     is an eigenvector of B, for any nonzero real constant  \alpha , associated with the eigenvalue  \lambda  = 1. D)    is the only eigenvector of B associated with the eigenvalue  \lambda  = 1. is the only eigenvector of B associated with the eigenvalue λ\lambda = 1.

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