My dog does linear algebra everytime he pees on a fire hydrant so that he only pees for the exact amount of time needed. Similarly, when I drain my bath tub, it acts as a linear algebra machine that calculates how long it takes for the water to drain through a small hole.

Is this a fun way to look at the world that allows us to more readily build computational devices from our environment? Definitely. Is it useful for determining what is intelligence? Not at all.