5 0 0 0 0 5 1 0 0 051 0 005 Which of the following statements are true about the matrix A = ? (Select all correct answers) A has only one eigenvalue 5 The characteristic polynomial of A is (A – 5)* The eigenspace of A for eigenvalue 5 has dimension 1 All eigenvectors of A has the form a for some non-zero a. A is a diagonalizable matrix.
5 0 0 0 0 5 1 0 0 051 0 005 Which of the following statements are true about the matrix A = ? (Select all correct answers) A has only one eigenvalue 5 The characteristic polynomial of A is (A – 5)* The eigenspace of A for eigenvalue 5 has dimension 1 All eigenvectors of A has the form a for some non-zero a. A is a diagonalizable matrix.
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:4.
5 0 0 0
0510
Which of the following statements are true about the matrix A =
? (Select all correct answers)
0 0 5 1
00 0 5
A has only one eigenvalue 5
The characteristic polynomial of A is (A – 5)*
The eigenspace of A for eigenvalue 5 has dimension 1
a
All eigenvectors of A has the form
a
for some non-zero a.
0.
0.
A is a diagonalizable matrix.
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