Question

Consider the matrix $A = \begin{bmatrix} 1 \\ 9 \end{bmatrix}$. Which of the following are eigenvectors of the matrix? (1): $\vec{v} = \begin{bmatrix} 1 \\ 4 \end{bmatrix}$, (2): $\vec{v} = \begin{bmatrix} 1 \\ 3 \end{bmatrix}$, (3): $\vec{v} = \begin{bmatrix} -1 \\ 3 \end{bmatrix}$, (4): $\vec{v} = \begin{bmatrix} 3 \\ 1 \end{bmatrix}$ Eigenvectors are (Enter an ordered list of numbers corresponding to those which are; for example, if vectors 1 and 3 are eigenvectors, enter 1, 3.) What are the eigenvalues corresponding to these eigenvectors?

          Consider the matrix $A = \begin{bmatrix} 1 \\ 9 \end{bmatrix}$. Which of the following are eigenvectors of the matrix?
(1): $\vec{v} = \begin{bmatrix} 1 \\ 4 \end{bmatrix}$, (2): $\vec{v} = \begin{bmatrix} 1 \\ 3 \end{bmatrix}$, (3): $\vec{v} = \begin{bmatrix} -1 \\ 3 \end{bmatrix}$, (4): $\vec{v} = \begin{bmatrix} 3 \\ 1 \end{bmatrix}$
Eigenvectors are 
(Enter an ordered list of numbers corresponding to those which are; for example, if vectors 1 and 3 are eigenvectors, enter 1, 3.)
What are the eigenvalues corresponding to these eigenvectors?

Consider the matrix A =
< b m a t r i x >. Which of the following are eigenvectors of the matrix?
(1): v⃗ =
< b m a t r i x >, (2): v⃗ =
< b m a t r i x >, (3): v⃗ =
< b m a t r i x >, (4): v⃗ =
< b m a t r i x >
Eigenvectors are
(Enter an ordered list of numbers corresponding to those which are; for example, if vectors 1 and 3 are eigenvectors, enter 1, 3.)
What are the eigenvalues corresponding to these eigenvectors?

Added by Adam S.

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