Which of the following is not an eigenvector of the matrix (A) [] -·-·-·-N [2] (B) (C) A. A B. B OC.C O D.D (D) 31 ]

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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**Question:**

Which of the following is *not* an eigenvector of the matrix:

\[
\begin{bmatrix} 
3 & 0 \\ 
1 & 9 
\end{bmatrix}
\]?

**Options:**

(A) \[
\begin{bmatrix} 
0 \\ 
1 
\end{bmatrix}
\]

(B) \[
\begin{bmatrix} 
2 \\ 
2 
\end{bmatrix}
\]

(C) \[
\begin{bmatrix} 
0 \\ 
2 
\end{bmatrix}
\]

(D) \[
\begin{bmatrix} 
-6 \\ 
1 
\end{bmatrix}
\]

**Choices:**

- ○ A. A
- ○ B. B
- ○ C. C
- ○ D. D
Transcribed Image Text:**Question:** Which of the following is *not* an eigenvector of the matrix: \[ \begin{bmatrix} 3 & 0 \\ 1 & 9 \end{bmatrix} \]? **Options:** (A) \[ \begin{bmatrix} 0 \\ 1 \end{bmatrix} \] (B) \[ \begin{bmatrix} 2 \\ 2 \end{bmatrix} \] (C) \[ \begin{bmatrix} 0 \\ 2 \end{bmatrix} \] (D) \[ \begin{bmatrix} -6 \\ 1 \end{bmatrix} \] **Choices:** - ○ A. A - ○ B. B - ○ C. C - ○ D. D
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