3 has infinitely many soluti

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.1: Introduction To Eigenvalues And Eigenvectors
Problem 36EQ: Consider again the matrix A in Exercise 35. Give conditions on a, b, c, and d such that A has two...
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Let A be a diagonalizable 3x3 mat rix with pAP=-I, where I is the ident ity mat rix.
Which of the following statements is FALSE?
A=1 is not an eigenvalue of A
OA.
A2=A
В.
A=-I
С.
None of these statements is false.
D.
The equation (A+I)x-0 has infinitely many solutions
O E.
Transcribed Image Text:Let A be a diagonalizable 3x3 mat rix with pAP=-I, where I is the ident ity mat rix. Which of the following statements is FALSE? A=1 is not an eigenvalue of A OA. A2=A В. A=-I С. None of these statements is false. D. The equation (A+I)x-0 has infinitely many solutions O E.
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