When exploring, one might find themselves totally lost. One might find the unknown exhilarating. One might find it frightening. One might find themselves on the side of a river wandering and wondering, "How did I get here? How can I get back?" One might try to find a bridge to cross the river, maybe that's the way back. What if there is no bridge? One might try to swim across the river. One might make it to the other side or one might find the current too strong and one might be swept off to a whole new place to explore. This is the story of my own exploration through Geometry and Linear Algebra. Allow me to take you on a journey to the bridges I found, the rivers I swam, and the darker parts of the forest that some might never see.