Let A be a diagonalizable 3x3 mat rix with p-AP=-I , where I is the identity mat rix.Which of the following statements is FALSE?Ax =-X for every vector x in R3O Adet (I + A) = 0OB.A=0is not an eigenvalue of AOC.Ax =Ax for every vector x in ROD.None of these statements is falseO E

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Let A be a diagonalizable 3x3 mat rix with PAP=-I , where I is the identity mat rix. Which of the following statements is FALSE? Ax =-X for every vector x in R3 det (I + A) = O OB. A=0is not an eigenvalue of A OC. A2x =Ax for every vector x in R° OD. None of these statements is false

Let A be a diagonalizable 3x3 mat rix with PAP=-I , where I is the identity mat rix. Which of the following statements is FALSE? Ax =-X for every vector x in R3 det (I + A) = O OB. A=0is not an eigenvalue of A OC. A2x =Ax for every vector x in R° OD. None of these statements is false

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

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Let A be a diagonalizable 3x3 mat rix with p-AP=-I , where I is the identity mat rix.
Which of the following statements is FALSE?
Ax =-X for every vector x in R3
O A
det (I + A) = 0
OB.
A=0is not an eigenvalue of A
OC.
Ax =Ax for every vector x in R
OD.
None of these statements is false
O E

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