Kronecker product theorem

The Kronecker product theorem states that the eigenvalues of the Kronecker product of two matrices are all possible products of the eigenvalues of those individual matrices. In other words, if you have two matrices, and you know their eigenvalues (special numbers associated with them), then the eigenvalues of their combined Kronecker product are just all combinations obtained by multiplying each eigenvalue of the first matrix with each eigenvalue of the second. This result helps understand complex systems built from simpler components, especially in areas like quantum mechanics and signal processing.