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4 cards from this section. Quick, good the night before a test.
What is the definition of a second-order tensor?
Think about how we visualize data in rows and columns.
What is the Kronecker delta function?
It's a function that tells if two indices are equal.
What is the result of multiplying a second-order tensor with a vector?
Think about how we transform vectors using matrices.
The Kronecker delta function equals 1 when the indices are...
Recall its defining property.
Given a tensor A with components A_11 = 1, A_12 = 2, A_21 = 3, A_22 = 4 and a vector b = [5, 6], compute the product a = A*b and explain each step.
Follow matrix multiplication rules.
Prove that multiplying two second-order tensors A and B gives a tensor C, and show how to derive C_ij from matrices A and B in standard form.
Apply the summation convention correctly.
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