Find the eigenvalues A1 < A2 < Ag and associated unit eigenvectors i1, ü2, ūz of the symmetric matrix 1 -4 -1 A = 4 -4 1 -4 The eigenvalue A1 = -6 has associated unit eigenvector u = -2 1 The eigenvalue A2 has associated unit eigenvector uz -2 1 The eigenvalue A3 = 6 has associated unit eigenvector uz = -2 Vote: The eigenvectors above form an orthonormal eigenbasis for A.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Find the eigenvalues A1 < A2 < Ag and associated unit eigenvectors i1, ü2, ūz of the symmetric matrix
-4
A =
-4
1
-4
1
has associated unit eigenvector uj =
The eigenvalue A1 = -6
-2
1
The eigenvalue Ag =
has associated unit eigenvector uz =
-2
The eigenvalue A3 = 6
has associated unit eigenvector uz =
-2
1
Vote: The eigenvectors above form an orthonormal eigenbasis for A.
Transcribed Image Text:Find the eigenvalues A1 < A2 < Ag and associated unit eigenvectors i1, ü2, ūz of the symmetric matrix -4 A = -4 1 -4 1 has associated unit eigenvector uj = The eigenvalue A1 = -6 -2 1 The eigenvalue Ag = has associated unit eigenvector uz = -2 The eigenvalue A3 = 6 has associated unit eigenvector uz = -2 1 Vote: The eigenvectors above form an orthonormal eigenbasis for A.
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