If A(r, s, t) be a function of the coordinates in n-dimensional space such that for an arbitrary vector Br of the type indicated by the index a A(r, s, t)B" is equal to the component Cst of a contravariant tensor of order two. Prove that A(r, s, t) are the components of a tensor of the form 4.
If A(r, s, t) be a function of the coordinates in n-dimensional space such that for an arbitrary vector Br of the type indicated by the index a A(r, s, t)B" is equal to the component Cst of a contravariant tensor of order two. Prove that A(r, s, t) are the components of a tensor of the form 4.
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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![If A(r, s, t) be a function of the coordinates in n-dimensional space such that for an arbitrary vector
B" of the type indicated by the index a A(r, s, t)B" is equal to the component Cst of a contravariant
st
tensor of order two. Prove that A(r, s, t) are the components of a tensor of the form A'.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fec3b8bfa-1614-4db5-8368-c57989851fc7%2F48f01a91-8406-48d2-9017-c4aaf4c77f17%2Fu6ulodr_processed.png&w=3840&q=75)
Transcribed Image Text:If A(r, s, t) be a function of the coordinates in n-dimensional space such that for an arbitrary vector
B" of the type indicated by the index a A(r, s, t)B" is equal to the component Cst of a contravariant
st
tensor of order two. Prove that A(r, s, t) are the components of a tensor of the form A'.
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