Is λ = 2 an eigenvalue of 10-1 31 1? If so, find one corresponding eigenvector. -24 8 Select the correct choice below and, if necessary, fill in the answer box within your choice. 10-1 -24 8 2 (Type a vector or list of vectors. Type an integer or simplified fraction for each matrix element.) 10 - 1 31 1 8 A. Yes, λ = 2 is an eigenvalue of B. No, λ = 2 is not an eigenvalue of 31 1 One corresponding eigenvector is -2 4
Is λ = 2 an eigenvalue of 10-1 31 1? If so, find one corresponding eigenvector. -24 8 Select the correct choice below and, if necessary, fill in the answer box within your choice. 10-1 -24 8 2 (Type a vector or list of vectors. Type an integer or simplified fraction for each matrix element.) 10 - 1 31 1 8 A. Yes, λ = 2 is an eigenvalue of B. No, λ = 2 is not an eigenvalue of 31 1 One corresponding eigenvector is -2 4
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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5.1 #3
![**Problem: Eigenvalue and Eigenvector Determination**
Is \(\lambda = 2\) an eigenvalue of
\[
\begin{bmatrix}
1 & 0 & -1 \\
3 & 1 & 1 \\
-2 & 4 & 8
\end{bmatrix}
\]
? If so, find one corresponding eigenvector.
---
**Select the correct choice below and, if necessary, fill in the answer box within your choice.**
- **A.** Yes, \(\lambda = 2\) is an eigenvalue of
\[
\begin{bmatrix}
1 & 0 & -1 \\
3 & 1 & 1 \\
-2 & 4 & 8
\end{bmatrix}
\]
. One corresponding eigenvector is \(\boxed{}\).
*(Type a vector or list of vectors. Type an integer or simplified fraction for each matrix element.)*
- **B.** No, \(\lambda = 2\) is not an eigenvalue of
\[
\begin{bmatrix}
1 & 0 & -1 \\
3 & 1 & 1 \\
-2 & 4 & 8
\end{bmatrix}
\]
.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F80a45a6e-0b8a-4aa3-8be8-79493f18df43%2F2f9fb92a-33d5-4504-8282-e0acb6a071cd%2Fmne4imq_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem: Eigenvalue and Eigenvector Determination**
Is \(\lambda = 2\) an eigenvalue of
\[
\begin{bmatrix}
1 & 0 & -1 \\
3 & 1 & 1 \\
-2 & 4 & 8
\end{bmatrix}
\]
? If so, find one corresponding eigenvector.
---
**Select the correct choice below and, if necessary, fill in the answer box within your choice.**
- **A.** Yes, \(\lambda = 2\) is an eigenvalue of
\[
\begin{bmatrix}
1 & 0 & -1 \\
3 & 1 & 1 \\
-2 & 4 & 8
\end{bmatrix}
\]
. One corresponding eigenvector is \(\boxed{}\).
*(Type a vector or list of vectors. Type an integer or simplified fraction for each matrix element.)*
- **B.** No, \(\lambda = 2\) is not an eigenvalue of
\[
\begin{bmatrix}
1 & 0 & -1 \\
3 & 1 & 1 \\
-2 & 4 & 8
\end{bmatrix}
\]
.
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