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Like the matrix representation of a bilinear form, it is a matrix, but now the matrix has to be a symmetric matrix.
We can then immediately see that the matrix is symmetric, then so is the form. We have:
But because is a scalar, we have:
and:

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  1. Symmetric bilinear form
  2. Symmetric bilinear map
  3. Multilinear map
  4. Linear map
  5. Linear algebra
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