
In some programming languages, given a two-argument function f (or a binary operator), the outer product of f and two one-dimensional arrays A and B is a two-dimensional array C such that C = f(A, B). e.g., 42 for properties of these operators. In MATLAB we use dot function to get the dot product of scalars or vectors. This shows why a conjugate transpose of v is commonly taken in the complex case. The Hadamard (elementwise) product of matrices A and B is denoted by A B. 1.3 Connection with the Kronecker product.Invoking a unit circle would restrict dot products to unit vectors.

Follow this answer to receive notifications. Maybe this link could help: Complex dot product. The dot product for complex vectors is defined as: A B i a i b i.

If you draw a diagram and calculate the projected length of the shorter onto the longer vector, it goes as cosine of the angle by elementary trigonometry. There is a different definition when you work with complex vectors.

The operation used were commutative it does not matter in which order the operation is performed.
