Hadamard product (matrices)

Imagine you have two sets of toys on the floor. The first set has red balls, blue blocks, and green teddy bears. The second set has yellow balls, blue blocks, and red toy cars.

To find the Hadamard product of these two sets, you need to match each toy in the first set with its corresponding toy in the second set, and then multiply them together.

For example, the first toy in the first set is a red ball, and the first toy in the second set is a yellow ball. To get the Hadamard product of these two toys, you need to multiply their colors together: red times yellow equals...orange!

Continue doing this for each toy in the two sets, and write down the results in a new set. This new set is the Hadamard product of the original two sets. It has orange balls, blue blocks, and no teddy bears or toy cars, because those toys didn't have a match in the other set.

In matrices, the Hadamard product is the same idea. You have two matrices with the same number of rows and columns. To get the Hadamard product, you match up each element in Matrix A with its corresponding element in Matrix B, and multiply them together. The result is a new matrix with the same dimensions, where each element is the product of the matching elements in the original matrices.