12 Let A be a diagonalizable 3x3 mat rix with P-AP=-I, where I is the identity matrix. Which of the following statements is FALSE? Ax =-x for every vector x in R O A. A=0is not an eigenvalue of A В. Ax =Ax for every vector x inR OC. None of these statements is false OD. det (I + A) = 0 O E. A Click Submit to complete this assessment.

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
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destion 12
Let A be a diagonalizable 3x3 mat rix with P-AP=-I, where I is the identity matrix.
Which of the following statements is FALSE?
Ax =-x for every vector x in R
O A.
A=0 is not an eigenvalue of A
В.
Ax =Ax for every vector x in R
OC.
None of these statements is false
O D.
det (I + A) = 0
O E.
A Click Submit to complete this assessment.
MacBook Air
吕0
DII
DD
F2
F3
F4
F5
F6
F7
F8
F9
F10
%23
Transcribed Image Text:destion 12 Let A be a diagonalizable 3x3 mat rix with P-AP=-I, where I is the identity matrix. Which of the following statements is FALSE? Ax =-x for every vector x in R O A. A=0 is not an eigenvalue of A В. Ax =Ax for every vector x in R OC. None of these statements is false O D. det (I + A) = 0 O E. A Click Submit to complete this assessment. MacBook Air 吕0 DII DD F2 F3 F4 F5 F6 F7 F8 F9 F10 %23
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