Answer the following muitiple-choice awestion below alguora A22. A is a 7x7 natrix. Assume that A has exactly eigenvalves: I,4 and 5. If E 1, Ey and Es all have the Same dimansion, the 3 A is: A) diagonalizable but not invertible B) not invertible C) diagonalizable and invertible D) mvertible bt not diagonizable t) None

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
Problem 42EQ
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What is A?

Answer the follownng muitiple-choice
awestion below
algubra
A22. A is a
7x7 matrix. Assume that A
eigenvalves: I,4 and 5. If
E 1, Ey and Es all have the Samme dimansion, then
has exactly
3
A is:
A) diagonalizable but not invertible
B) not invertible
C) diagonalizable and mvertible
D) invertible bs not diagonizable
€) None
Transcribed Image Text:Answer the follownng muitiple-choice awestion below algubra A22. A is a 7x7 matrix. Assume that A eigenvalves: I,4 and 5. If E 1, Ey and Es all have the Samme dimansion, then has exactly 3 A is: A) diagonalizable but not invertible B) not invertible C) diagonalizable and mvertible D) invertible bs not diagonizable €) None
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