Dot Product: Vector Ć Vector
BasicsA single neuron multiplies each input by its weight and sums the results ā that's a dot product. Here we compute it manually element-by-element, then show how np.dot does it in one line. ā¢ Both vectors must have equal length. ā¢ Commutative: np.dot(a, b) = np.dot(b, a).
Multiply each weight w_i by its input x_i, then sum: (0.2Ć1) + (0.8Ć2) + (ā0.5Ć3) = 0.3. Add bias 0.1 ā output 0.4.
Python
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