Question 7 Let P = 10-2 01 00 Then (P²)-¹ is 0 1 1 0 1 01/1 1 0 1 0 4 (a) 6 6 6 6 0 1 0 0 0 0 0 0 1 0 00 1 00 1 004 001 (e) none of these

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CR: Review Exercises
Problem 15CR: For what values of a does the matrix A=[01a1] have the characteristics below? a A has eigenvalue of...
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Question 7 Let P =
(a)
1 0
0 1
0
1
00
1 0
1
0 0
(Hint: P is an elementary matrix.)
-2
0
1
(b)
1 01/1
0 1 0
1
Then (P2)-¹ is
00
0
0
1
0
0 0 4
(d)
0
4
0
00 1
(e)
none of these
Transcribed Image Text:Question 7 Let P = (a) 1 0 0 1 0 1 00 1 0 1 0 0 (Hint: P is an elementary matrix.) -2 0 1 (b) 1 01/1 0 1 0 1 Then (P2)-¹ is 00 0 0 1 0 0 0 4 (d) 0 4 0 00 1 (e) none of these
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