Let A be a diagonalizable 3x3 mat rix with P-AP=-I , where I is the identity mat rix. Which of the following stat ements is FALSE? AA=I OA. None of these statements is false. В. A= -1 is an eigenvalue of A OC. det (AI D. - A) =13 The equation Ax=0 has only the trivial solution x=0

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Let A be a diagonalizable 3x3 matrix with P^-1 AP = -I, where I is the identity matrix. Which of the following statements is FALSE?
Let A be a diagonalizable 3x3 matrix with P1AP=-I , where I is the identity mat rix.
Which of the following statements is FALSE?
AA=I
А.
None of these statements is false.
OB.
A= -1 is an eigenvalue of
A
C.
det (AI
D.
A) =A
The equation
O E.
Ax=0 has only the trivial solution x=0
Transcribed Image Text:Let A be a diagonalizable 3x3 matrix with P1AP=-I , where I is the identity mat rix. Which of the following statements is FALSE? AA=I А. None of these statements is false. OB. A= -1 is an eigenvalue of A C. det (AI D. A) =A The equation O E. Ax=0 has only the trivial solution x=0
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