Question 5 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? The equation OA. Ax=x has infinitely many solutions None of these statements is false. OB. det (AI - A) =(1 + 1)3 OC. A= -1is an eigenvalue of A A = -I OE.

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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Quèstion 5
Let A be a diagonalizable 3x3 mat rix with P-'AP = -I, where I is the identity mat rix.
Which of the following stat ementsis FALSE?
The equation
OA.
Ax=x has infinitely many solutions
None of these statementsis false.
В.
det (AI - A) = (a + 1)3
A= -1is an eigenvalue of A
A = -I
OE.
Transcribed Image Text:Quèstion 5 Let A be a diagonalizable 3x3 mat rix with P-'AP = -I, where I is the identity mat rix. Which of the following stat ementsis FALSE? The equation OA. Ax=x has infinitely many solutions None of these statementsis false. В. det (AI - A) = (a + 1)3 A= -1is an eigenvalue of A A = -I OE.
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