Let A be a diagonalizable 3x3 matrix with PAP-I Which of the following statements is FALSE? where I is the identity matrix. Ax --x for every vector x in R OA OA-0is not an eigenvalue of A Ax -Ax for every vector x in R det (I+ A) - e OD. None of these statements is false

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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Let A be a diagonalizable 3x3 matrix with PAP=-I , where I is the identity matrix
Which of the following statements is FALSE?
Ax =-x for every vector x in R
OA
A=0is not an eigenvalue of A
OB
A2x = Ax for every vector x in R
det (I + A) - e
None of these statements is false
OE
Question 1 1=
A Moving to another question will save this response
Transcribed Image Text:Let A be a diagonalizable 3x3 matrix with PAP=-I , where I is the identity matrix Which of the following statements is FALSE? Ax =-x for every vector x in R OA A=0is not an eigenvalue of A OB A2x = Ax for every vector x in R det (I + A) - e None of these statements is false OE Question 1 1= A Moving to another question will save this response
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