now on the right side you can see this diagram illustrated mathematically as a single equation and we can actually rewrite this as a linear using linear algebra in terms of vectors and dot products so instead of having a summation over all of the X's I'm going to collapse my X into a vector capital X which is now just a list or a vector of numbers a vector of inputs I should say and you also have a vector of weights capital W to compute the output of a single perceptron all you have to do is take the dot product of X and W which