3) Use the basic definition of a Cartesian tensor to show the following: (a) That for any general, but fixed, p, (u,u2) = (x, cos o – x, sin , x, sin + x, cos ø) are components of a first-order tensor in two dimensions. (b) That x x1x2 is not a tensor of order 2. To establish that a single element does not transform correctly is sufficient.

3) Use the basic definition of a Cartesian tensor to show the following: (a) That for any general, but fixed, p, (u,u2) = (x, cos o – x, sin , x, sin + x, cos ø) are components of a first-order tensor in two dimensions. (b) That x x1x2 is not a tensor of order 2. To establish that a single element does not transform correctly is sufficient.

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Inner Product Spaces

Section5.2: Inner Product Spaces

Problem 101E: Consider the vectors u=(6,2,4) and v=(1,2,0) from Example 10. Without using Theorem 5.9, show that...

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