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? A2= I OA. A=1is an eigenvalue of A OB. det (AI OC. A) = (A +1) 3 The equation OD. Ax+x=0 has infinitely many solutions None of these st atemtentsis false. OE.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.4: The Singular Value Decomposition
Problem 26EQ
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Let A be a diagonalizable 3x3 matrix with P--AP=-I , where I is the identity matrix.
Which of the following statements is FALSE?
A2=I
OA.
A=1is an eigenvalue of A
OB.
det (AI -
OC.
A) = ( A + 1) 3
The equation
OD.
Ax+x=0
has infinitely many solutions
None of these statemtentsis false.
OE.
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Transcribed Image Text:Let A be a diagonalizable 3x3 matrix with P--AP=-I , where I is the identity matrix. Which of the following statements is FALSE? A2=I OA. A=1is an eigenvalue of A OB. det (AI - OC. A) = ( A + 1) 3 The equation OD. Ax+x=0 has infinitely many solutions None of these statemtentsis false. OE. A Moving to another question will save this response. Qu
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