Some of the eigenvalues of the given matrix are complex. Find all eigenvalues and eigenvectors. 12 12 0 The eigenvalue(s) is/are (Type an exact answer, using radicals and i as needed. Use a comma to separate answers as needed.) Find an eigenvector corresponding to the eigenvalue a + bi, where b>0. Choose the correct answer below. ○ A. ○ C. ○ E. Find an eigenvector corresponding to the eigenvalue a + bi, where b<0. Choose the correct answer below. ○ A. ос. ○ E. 1 ○ B. ○ D. ○ F. О в. [B] ○ D. ○ F.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.1: Introduction To Eigenvalues And Eigenvectors
Problem 38EQ
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Some of the eigenvalues of the given matrix are complex. Find all eigenvalues and eigenvectors.
12
12
0
The eigenvalue(s) is/are
(Type an exact answer, using radicals and i as needed. Use a comma to separate answers as needed.)
Find an eigenvector corresponding to the eigenvalue a + bi, where b>0. Choose the correct answer below.
○ A.
○ C.
○ E.
Find an eigenvector corresponding to the eigenvalue a + bi, where b<0. Choose the correct answer below.
○ A.
ос.
○ E.
1
○ B.
○ D.
○ F.
О в.
[B]
○ D.
○ F.
Transcribed Image Text:Some of the eigenvalues of the given matrix are complex. Find all eigenvalues and eigenvectors. 12 12 0 The eigenvalue(s) is/are (Type an exact answer, using radicals and i as needed. Use a comma to separate answers as needed.) Find an eigenvector corresponding to the eigenvalue a + bi, where b>0. Choose the correct answer below. ○ A. ○ C. ○ E. Find an eigenvector corresponding to the eigenvalue a + bi, where b<0. Choose the correct answer below. ○ A. ос. ○ E. 1 ○ B. ○ D. ○ F. О в. [B] ○ D. ○ F.
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