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4 cards from this section. Quick, good the night before a test.
What is the tensor product of vectors A = [1,2] and B = [3,4]?
Multiply corresponding components.
What is a second order tensor?
Think of it as a matrix of components.
What does the tensor product of two vectors produce?
Recall the operation we performed earlier.
True or False: The representation of a tensor changes with coordinate transformations.
Think about how coordinates influence vector representations.
Given two vectors A = [1, 2] and B = [3, 4], compute the tensor C = A ⊗ B and explain the meaning of each element in terms of interaction.
Consider the significance of each product and how they illustrate combined vector magnitudes.
Define a physical situation where a third order tensor could apply, and compute its elements if A = [1, 0, 2] and B = [0, 3, 4].
Think of the interactions that could occur in three dimensions.
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