Let A be a diagonalizable 3x3 mat riX with P AP = -I,where I is the identity mat rix. Which of the following statementsis FALSE? The equation (I-A)x =0 has infinitely many solutions OA. None of these statements is false OB. det (AI OC. A) = (A+1) 3 A= -I OD. R2 OE = The eigenspace of A corresponding to the eigenvalue A=-1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.2: Exponents And Radicals
Problem 87E
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Quèstion 2
Let A be a diagonalizable 3x3 mat rix with P AP = -I,where I is the identity mat rix.
Which of the following statementsis FALSE?
The equat ion (I -A)x =0 has infinitely many solutions
OA.
None of these statements is false
OB.
det (AI
A) = (A+1) 3
A= -I
OD.
R2
= The eigenspace of A corresponding to the eigenvalue A=-1
OE
A Moving to another question will save this response.
Transcribed Image Text:* Question Completion Status: 1 2 3 4 6 7. 8. 6. 10 11 12 A Moving to another question will save this response. Quèstion 2 Let A be a diagonalizable 3x3 mat rix with P AP = -I,where I is the identity mat rix. Which of the following statementsis FALSE? The equat ion (I -A)x =0 has infinitely many solutions OA. None of these statements is false OB. det (AI A) = (A+1) 3 A= -I OD. R2 = The eigenspace of A corresponding to the eigenvalue A=-1 OE A Moving to another question will save this response.
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