  We prove a non-stationary analog of the Furstenberg Theorem on random matrix
products (that can be considered as a matrix version of the law of large
numbers). Namely, under a suitable genericity conditions the sequence of norms
of random products of independent but not necessarily identically distributed
$\SL(d, \mathbb{R})$ matrices grow exponentially fast, and there exists a
non-random sequence that almost surely describes asymptotical behaviour of that
sequence.
