Suppose that the characteristic polynomial of a matrix A is p(A) = A(A² − 6A + 9). A will have exactly eigenvectors. 02 0 3 O Not enough information is given to determine the answer. A is diagonalizable. O True O False O Not enough information is given to determine the answer Å is invertible. Ⓒ True O False O Not enough information is given to determine the answer.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section: Chapter Questions
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Suppose that the characteristic polynomial of a matrix A is
p(A) = A(A² – 6A + 9).
A will have exactly eigenvectors.
02
3
Not enough information is given to determine the answer.
A is diagonalizable.
True
False
O Not enough information is given to determine the answer
Å is invertible.
O True
False
O Not enough information is given to determine the answer.
Transcribed Image Text:Suppose that the characteristic polynomial of a matrix A is p(A) = A(A² – 6A + 9). A will have exactly eigenvectors. 02 3 Not enough information is given to determine the answer. A is diagonalizable. True False O Not enough information is given to determine the answer Å is invertible. O True False O Not enough information is given to determine the answer.
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