Let A be a diagonalizable 3x3 matrix 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 OA. A=0is not an eigenvalue of A OB. A2x =Ax for every vector x in R3 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
Problem 42EQ
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Question 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 R³
OA.
A=0is not an eigenvalue of A
OB.
A2x = Ax for every vector x in R
OC.
None of these statements is false
OD.
det (I + A) = 0
OE.
A Click Submit to complete this assessment.
MacBook Air
888
DD
F3
F4
F5
F6
F7
F8
F9
F10
Transcribed Image Text:A Click Submit to complete this assessment. Question 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 R³ OA. A=0is not an eigenvalue of A OB. A2x = Ax for every vector x in R OC. None of these statements is false OD. det (I + A) = 0 OE. A Click Submit to complete this assessment. MacBook Air 888 DD F3 F4 F5 F6 F7 F8 F9 F10
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