this matrix a multiplied by my signal ax plus a bias well that then that this is just a vector how big is this vector is one output for every class right I and what how do I determine which class the input is it's whichever of these outputs is largest right okay so let's think we have a matrix a that we're multiplying by our X each entry in this output is what just a inner product of a row of a with X so what is that right if we think about this matrix a well the C throw right course buying a Class C is dist we're just going to take