Matrix multiplication represents the composition of linear maps between vector spaces. So, the extent that you can model aspects of reality as transformations between linear spaces, matrix multiplication faithfully represents those aspects of reality.
But the map is not the territory. Reality isn't the matrix multiplications. Rather, we can model various aspects of reality using matrix multiplication. What's really "out there" beyond our human minds and clever symbology is a question of philosophy.
But the map is not the territory. Reality isn't the matrix multiplications. Rather, we can model various aspects of reality using matrix multiplication. What's really "out there" beyond our human minds and clever symbology is a question of philosophy.