Let A be a diagonalizable 3×3 mat rix with p-AP=-I , where I is the identity matrix. Which of the following statements is FALSE? OA 42=4 None of these stat ements is false. The equation (A+I) x=0 has infinitely many solutions OD A=-T A =1is not an eigenvalue of A OE.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Matrices
Section2.3: The Inverse Of A Matrix
Problem 79E: Let A,D, and P be nn matrices satisfying AP=PD. Assume that P is nonsingular and solve this for A....
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Let A be a diagonalizable 3×3 matrix with P--AP=-I , where I is the identity mat rix.
Which of the following statements is FALSE?
A²=A
OA.
None of these stat ements is false.
The equation
(A+I) x=0
has infinitely many solutions
A=-I
OD.
A =1is not an eigenvalue of A
OE.
Transcribed Image Text:Let A be a diagonalizable 3×3 matrix with P--AP=-I , where I is the identity mat rix. Which of the following statements is FALSE? A²=A OA. None of these stat ements is false. The equation (A+I) x=0 has infinitely many solutions A=-I OD. A =1is not an eigenvalue of A OE.
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