estion 2 pAP=-I , where I is the identity matrix. Let A be a diagonalizable 3x3 matrix with Which of the following statements is FALSE? The equation Ax+x-0 has infinitely many solutions OA. None of these st at emtentsis false. O B. det (AI - OC. A) = (A + 1) 3 A2=I OD. A=1is an eigenvalue of A O E. A Moving to another question will save this response. MacBook Air

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.7: The Inverse Of A Matrix
Problem 30E
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Question 2
Let A be a diagonalizable 3×3 mat rix with P-AP=-I, where I is the identity matrix.
Which of the following statements is FALSE?
The equation Ax+x=0
O A.
has infinitely many solutions
None of these statemtentsis false.
OB.
det (AI -
OC.
A) = ( A + 1 ) 3
A2=I
OD.
A=1is an eigenvalue of A
O E.
A Moving to another question will save this response.
MacBook Air
80
DII
F3
F4
F5
F6
F7
F8
F9
F10
F11
@
$
%
5 0
6 7
7 V 8 A 9 9
Transcribed Image Text:A Moving to another question will save this response. Question 2 Let A be a diagonalizable 3×3 mat rix with P-AP=-I, where I is the identity matrix. Which of the following statements is FALSE? The equation Ax+x=0 O A. has infinitely many solutions None of these statemtentsis false. OB. det (AI - OC. A) = ( A + 1 ) 3 A2=I OD. A=1is an eigenvalue of A O E. A Moving to another question will save this response. MacBook Air 80 DII F3 F4 F5 F6 F7 F8 F9 F10 F11 @ $ % 5 0 6 7 7 V 8 A 9 9
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