c) The matrix, A 147 13 has eigenvalues 2, 6 and A₂ = 3. Perform five iterations of power method with -0₁ initial vector V= to approximate the dominant eigenvalue.

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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c)

a)
b)
c)
By using the Simpson's rule, approximate ³ ln(x)dx with 4 intervals. Give your
answer correct to 4 decimal places.
Find a positive root of e* + x²-10=0 by using Newton-Raphson method with
initial value as 2. Take the termination criterion as x-x<& with
€ = 1x10-¹.
The matrix, A
A =
initial vector V=
-4 147
-5 13]
has eigenvalues 2 = 6 and ₂ = 3. Perform five iterations of power method with
= to appro
to approximate the dominant eigenvalue.
Transcribed Image Text:a) b) c) By using the Simpson's rule, approximate ³ ln(x)dx with 4 intervals. Give your answer correct to 4 decimal places. Find a positive root of e* + x²-10=0 by using Newton-Raphson method with initial value as 2. Take the termination criterion as x-x<& with € = 1x10-¹. The matrix, A A = initial vector V= -4 147 -5 13] has eigenvalues 2 = 6 and ₂ = 3. Perform five iterations of power method with = to appro to approximate the dominant eigenvalue.
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