How does eigen element wise multiplication work in linear algebra and what are its applications in mathematical computations?

Eigen element-wise multiplication in linear algebra involves multiplying corresponding elements of two matrices that have the same dimensions. This operation is also known as the Hadamard product.

One application of eigen element-wise multiplication is in image processing, where it can be used to apply filters or masks to images. It is also used in signal processing for element-wise operations on signals. Additionally, it is commonly used in machine learning algorithms for element-wise operations on matrices representing data.