Statistics Dictionary

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Vector Inner Product

Assume that a and b are vectors, each with the same number of elements. Then, the inner product of a and b is s.

a'b = b'a = s

      a and b are column vectors, each having n elements,
      a' is the transpose of a, which makes a' a row vector,
      b' is the transpose of b, which makes b' a row vector, and
      s is a scalar; that is, s is a real number - not a matrix.

The inner product is also known as the dot product or the scalar product.

See also:   Vector Multiplication