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.

Question

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.

Quizplus · Accepted Answer

The Answer of 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.

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

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