The eigenvalues of a 4x4 matrix, A, are 5, 3, 3, and 1. Execute Gram-Schmidt process on the following two vectors to find an orthonormal basis set: (5, 0). After Vi = (2, 2) , v2 = normalization, we have two new vectors u1 = (x1, Y1) and U2 (x2, Y2). What is the trace, i.e. sum of the diagonal entries, of the matrix A?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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The eigenvalues of a 4x4 matrix, A,
are 5, 3, 3, and 1.
Execute Gram-Schmidt process on the
following two vectors to find an
orthonormal basis set:
Vị
(2,2), v2 =
(5, 0). After
normalization, we have two new
(x1, Y1) and
(x2, Y2).
vectors u1
U2
What is the trace, i.e. sum of the
diagonal entries, of the matrix A?
What is the second largest eigenvalue
of A??
Transcribed Image Text:The eigenvalues of a 4x4 matrix, A, are 5, 3, 3, and 1. Execute Gram-Schmidt process on the following two vectors to find an orthonormal basis set: Vị (2,2), v2 = (5, 0). After normalization, we have two new (x1, Y1) and (x2, Y2). vectors u1 U2 What is the trace, i.e. sum of the diagonal entries, of the matrix A? What is the second largest eigenvalue of A??
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