A) show that if Ais a real symmetric, then All quals to the largest Eigenvalue of A. Norms are induction and defined as: ||All, = max( b) Assume A and A as below: 11/41+0 16 13 -17 A= 13 29 -38 1-17 -38 50 6 -4 Matrice A¹ = -4 ||A2||₂ 112114 11 7 7 5 1-²) = max (11 AR11) and Eigenvalues of A are aproximately 84.7405, 0.2007 and 0.0588. Refering to Previous Paragraph calculate 11A, HA'll and cats ~0
A) show that if Ais a real symmetric, then All quals to the largest Eigenvalue of A. Norms are induction and defined as: ||All, = max( b) Assume A and A as below: 11/41+0 16 13 -17 A= 13 29 -38 1-17 -38 50 6 -4 Matrice A¹ = -4 ||A2||₂ 112114 11 7 7 5 1-²) = max (11 AR11) and Eigenvalues of A are aproximately 84.7405, 0.2007 and 0.0588. Refering to Previous Paragraph calculate 11A, HA'll and cats ~0
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Matrice
A) show that if Ais Kal Syomnestric V, then NAN
equals to the larggest Eigen Value of A
Nor MS Ore induction and defred as: 1Al, = max(.
= Max (LAR)
b) Assume A and A as below :
9.
-4
-17
13 -177
A= 13 29 -38
6.
A=-4
-1
7 5
ヒげー8
50
and Eigenvalues e A are
alro ximately 84.7405, 0.2007 and
0.0588 . Referng to Previous Perragra Ph calculate HAR HAl and cata
C)Ass me Vectors a and x extst such thab AR-b anal Ilb-AllF6?
Referng to Previous Para graph find UPler bound of 1X-Abl and
U-Ab
MA L
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