C++ Matrix Operations: Subtraction, Multiplication, and Hadamard Product

The code above defines three functions in the LinAlg namespace for matrix operations: subtraction, matrix multiplication, and Hadamard product.

The subtraction function takes two matrices 'A' and 'B' of the same size and returns their element-wise difference as a new matrix 'C'.

The matrix multiplication function takes two matrices 'A' and 'B' and returns their product as a new matrix 'C'. This operation is defined for matrices where the number of columns in 'A' equals the number of rows in 'B'.

The Hadamard product function takes two matrices 'A' and 'B' of the same size and returns their element-wise product as a new matrix 'C'.

All three functions create a new matrix 'C' to store the result of the operation, with the size of 'C' determined by the size of the input matrices 'A' and 'B'.

The code uses nested for loops to perform the element-wise operations on each element of the matrices. The Hadamard product and subtraction functions use a straightforward approach, while the matrix multiplication function uses a triple nested loop to calculate the dot product of each row of 'A' with each column of 'B'.