Let A be a diagonalizable 3x3 mat rix with PAP=-I , where I is the identity m Which of the following statements is FALSE? A2=A OA. None of these statements is false. OB. A=-I OC. A=1is not an eigenvalue of A OD. The equation (A+I) x-0 has infinitely many solutions

Let A be a diagonalizable 3x3 mat rix with PAP=-I , where I is the identity m Which of the following statements is FALSE? A2=A OA. None of these statements is false. OB. A=-I OC. A=1is not an eigenvalue of A OD. The equation (A+I) x-0 has infinitely many solutions

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section: Chapter Questions

Problem 12RQ

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Question

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?
A2=A
O A.
None of these statements is false.
OB.
A=-I
OC.
A=1is not an eigenvalue of A
OD.
The equation
OE.
(A+I) x-0
has infinitely many solutions
KK Que

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