Question 1 Let f (W) be a function of vector W, i.e. 1 f(w) 1+e-wx Determine the first derivative and matrix of second derivatives of f with respect to W. Choose File No file chosen

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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Question 1
Let f(w) be a function of vector W, i.e.
f(w) =
=
1
1+e-w/x*
Determine the first derivative and matrix of
second derivatives off with respect to W.
Choose File No file chosen
Question 2
Suppose that M is an m x m matrix with entries
Mij ≥ 0 such that Σ₁ Mij = 1 for each of the
columns j = 1,..., M. Show that 1 is an
eigenvalue of Mk for any k E N.
Choose File No file chosen
Transcribed Image Text:Question 1 Let f(w) be a function of vector W, i.e. f(w) = = 1 1+e-w/x* Determine the first derivative and matrix of second derivatives off with respect to W. Choose File No file chosen Question 2 Suppose that M is an m x m matrix with entries Mij ≥ 0 such that Σ₁ Mij = 1 for each of the columns j = 1,..., M. Show that 1 is an eigenvalue of Mk for any k E N. Choose File No file chosen
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