Let A be an 3 by 3 matrix. Select all true statements below. A. If A is diagonalizable, then A has 3 distinct real eigenvalues. B. If A has 3 linearly independent eigenvectors, then A is diagonalizable. C. The matrix A may or may not be diagonalizable. D. The matrix A is certainly diagonalizable. E. If A has 3 distinct real eigenvalues, then A is diagonalizable. OF. If A is diagonalizable, then A has 3 linearly independent eigenvectors. G. None of the above
Let A be an 3 by 3 matrix. Select all true statements below. A. If A is diagonalizable, then A has 3 distinct real eigenvalues. B. If A has 3 linearly independent eigenvectors, then A is diagonalizable. C. The matrix A may or may not be diagonalizable. D. The matrix A is certainly diagonalizable. E. If A has 3 distinct real eigenvalues, then A is diagonalizable. OF. If A is diagonalizable, then A has 3 linearly independent eigenvectors. G. None of the above
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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![Let A be an 3 by 3 matrix. Select all true statements below.
A. If A is diagonalizable, then A has 3 distinct real eigenvalues.
B. If A has 3 linearly independent eigenvectors, then A is diagonalizable.
C. The matrix A may or may not be diagonalizable.
D. The matrix A is certainly diagonalizable.
E. If A has 3 distinct real eigenvalues, then A is diagonalizable.
OF. If A is diagonalizable, then A has 3 linearly independent eigenvectors.
G. None of the above](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffef89c8d-d68c-46dc-ac67-99d2fb7935ec%2Fd577f745-2650-45b8-a6b3-6a51d791ec2c%2F93psve7_processed.png&w=3840&q=75)
Transcribed Image Text:Let A be an 3 by 3 matrix. Select all true statements below.
A. If A is diagonalizable, then A has 3 distinct real eigenvalues.
B. If A has 3 linearly independent eigenvectors, then A is diagonalizable.
C. The matrix A may or may not be diagonalizable.
D. The matrix A is certainly diagonalizable.
E. If A has 3 distinct real eigenvalues, then A is diagonalizable.
OF. If A is diagonalizable, then A has 3 linearly independent eigenvectors.
G. None of the above
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