Let A be a diagonalizable 3x3 mat rix with p-AP=-I , where I is the identity matrix. Which of the following statements is FALSE? A=-I OA. The equation (A+I) x=0 has infinitely many solutions OB A2=A A=1is not an eigenvalue of A O D None of these statements is false.

Let A be a diagonalizable 3x3 mat rix with p-AP=-I , where I is the identity matrix. Which of the following statements is FALSE? A=-I OA. The equation (A+I) x=0 has infinitely many solutions OB A2=A A=1is not an eigenvalue of A O D None of these statements is false.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.4: Similarity And Diagonalization

Problem 6EQ

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Question

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ion 12
Let A be a diagonalizable 3x3 mat rix with P-AP=-I , where I is the identity matrix.
Which of the following statements is FALSE?
A=-I
OA.
The equation
(A+I) x-0
has infinitely many solutions
OB.
Oc 42=4
A=1is not an eigenvalue of
OD
None of these statements is false.
OE.
A Click Submit to complete this assessment.

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