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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? det (AI OA. A) = (A+1)3 The equat ion (I-A)x =0 has infinitely many solutions O B. R2 OC. The eigenspace of A corresponding to the eigenvalue A=-1 None of these statements is false OD A= -I OE

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? det (AI OA. A) = (A+1)3 The equat ion (I-A)x =0 has infinitely many solutions O B. R2 OC. The eigenspace of A corresponding to the eigenvalue A=-1 None of these statements is false OD A= -I OE

Advanced Engineering Mathematics
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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Let A be a diagonalizable 3x3 mat rix with P AP = -I,whereI is the identity mat rix. Which of the following statementsis FALSE? det (AI - A) =(A+1)3 OA. The equat ion (I-A)x =0 has infinitely many solutions OB. R? = The eigenspace of A corresponding to the eigenvalue OC. A=-1 None of these statements is false OD. A= -I OE.
Transcribed Image Text:Let A be a diagonalizable 3x3 mat rix with P AP = -I,whereI is the identity mat rix. Which of the following statementsis FALSE? det (AI - A) =(A+1)3 OA. The equat ion (I-A)x =0 has infinitely many solutions OB. R? = The eigenspace of A corresponding to the eigenvalue OC. A=-1 None of these statements is false OD. A= -I OE.
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