Vector Element-wise Multiplication

What is element-wise operation in vector multiplication?

Answer:

Element-wise operation in vector multiplication refers to the process of multiplying each element of a vector by its corresponding element in another vector.

Element-wise operation in vector multiplication involves operating on corresponding elements individually. It means that each element in one vector is multiplied by the corresponding element in another vector, producing a new vector with the same length as the original vectors. This operation does not take into account the angle between vectors, in contrast to other types of vector multiplication such as dot product or cross product.

Element-wise multiplication is denoted by the symbol *, and it is used to perform operations on vectors or matrices where each element is processed independently.

This type of operation is commonly used in various fields such as linear algebra, physics, and engineering, where the manipulation of individual elements is required for calculations and analysis.