👉 The term "diagonalwise" in mathematics refers to a way of describing a mathematical operation that involves taking a set of elements, performing some calculation (such as addition or multiplication), and then placing those results back into a new set. This operation is commonly used in linear algebra and geometry to describe the result of multiplying two vectors. For example: - If you have two vectors x and y, we can diagonalize them by taking the transpose of their product: - (xT)