Show that if is continuously differentiable in a given region V and on its boundary S, then Lods = [₁ V x VødV

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.2: Determinants
Problem 9AEXP
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Show that if φ is continuously differentiable in a given region V and on its
boundary S, then
∫S φ dS =
∫V ∇φ dV

Show that if is continuously differentiable in a given region V and on its
boundary S, then
[ods = [76
VødV
Transcribed Image Text:Show that if is continuously differentiable in a given region V and on its boundary S, then [ods = [76 VødV
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