Edited sentence: A dyadic product is the special case of the tensor product between two vectors of the same dimension.A representative case is the Kronecker product of any two rectangular arrays, considered as matrices.For example, take the tensor product of two three-dimensional square matrices:.Here rank denotes the tensor rank (number of requisite indices), while the matrix rank counts the number of degrees of freedom in the resulting array.Resultant rank = 4, resultant dimension = 16