Find the rank of this symmetric Nx N matrix. (It would be a tridiagonal matrix if ent mositions (N, 1) and (1, N) were zeroes.) 0 0 -1 0 0 0 -1 0 0 1= 2 -1 0 0 0 T 727 -1 0 -1 : -1 2 -1 2 -1 0 2 -1 2 0 0 0 -1 0 0 0 T −1

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
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Chapter11: Matrices And Determinants
Section11.3: Inverses Of Matrices And Matrix Equations
Problem 1E
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Find the rank of this symmetric N x N matrix. (It would be a tridiagonal matrix if entries at
positions (N, 1) and (1, N) were zeroes.)
-1 0 0 0
2 -1 0
0
-1
2
-1
0
A =
2
-1
0
0
⠀⠀⠀
0
−1
0 0 -1
2
0 0
0
0
-1
0
2 -1
-1 2
Transcribed Image Text:Find the rank of this symmetric N x N matrix. (It would be a tridiagonal matrix if entries at positions (N, 1) and (1, N) were zeroes.) -1 0 0 0 2 -1 0 0 -1 2 -1 0 A = 2 -1 0 0 ⠀⠀⠀ 0 −1 0 0 -1 2 0 0 0 0 -1 0 2 -1 -1 2
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