Let A be a diagonalizable 3×3 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 R3 O A. A=0is not an eigenvalue of A OB. A2x = Ax for every vector x in R3 OC. det (I + A) = 0 OD. None of these statements is false OE. A Moving to another question will save this response. Question 1 of 12 inell Lis nS hp

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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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 R
O A.
A=0 is not an eigenvalue of A
OB.
A2x = Ax for every vector x in R
OC.
det (I + A) = 0
OD.
None of these statements is false
OE.
A Moving to another question will save this response.
Question 1 of 12
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hp
Transcribed Image Text: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 R O A. A=0 is not an eigenvalue of A OB. A2x = Ax for every vector x in R OC. det (I + A) = 0 OD. None of these statements is false OE. A Moving to another question will save this response. Question 1 of 12 كتب هنا ل لبحت hp
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