0 1 1 1 0 Let A = 1 . Which of the following is true? 1 1 0 O A has two distinct eigenvalues. both with geometric multiplicity one. A is not diagonalizable. O A has two distinct real eigenvalues. One with geometric multiplicity one and the other with geometric multiplicity two. The matrix is diagonalizable. O A has three simple real eigenvalues and therefore it is diagonalizable. O A has one real eigenvalue. It is not diagonalizable.
0 1 1 1 0 Let A = 1 . Which of the following is true? 1 1 0 O A has two distinct eigenvalues. both with geometric multiplicity one. A is not diagonalizable. O A has two distinct real eigenvalues. One with geometric multiplicity one and the other with geometric multiplicity two. The matrix is diagonalizable. O A has three simple real eigenvalues and therefore it is diagonalizable. O A has one real eigenvalue. It is not diagonalizable.
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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Transcribed Image Text:0.
1 1
Let A =
1
0 1
. Which of the following is true?
1
1 0
O A has two distinct eigenvalues. both with geometric multiplicity one. A
is not diagonalizable.
O A has two distinct real eigenvalues. One with geometric multiplicity one
and the other with geometric multiplicity two. The matrix is diagonalizable.
A has three simple real eigenvalues and therefore it is diagonalizable.
O A has one real eigenvalue. It is not diagonalizable.
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