6. Hopfield network: Construct a Hopfield synaptic weight matrix to three fundamental memories &1 = [1, 1, 1, 1, 1) 2 = [1,-1,-1,1,-1] E = (-1,1,-1,1,1] Neurodynam (a) Use asynchronous updating to demonstrate that these three fundamental memories are stable. (b) What happens when you flip the second element of 1? (c) What happens when you mask (set to zero) the first element of 3? (d) Find at least three spurious memories of the network. 6. Hopfield network: Construct a Hopfield synaptic weight matrix to three fundamental memories &1 = [1, 1, 1, 1, 1) 2 = [1,-1,-1,1,-1] E = (-1,1,-1,1,1] Neurodynam (a) Use asynchronous updating to demonstrate that these three fundamental memories are stable. (b) What happens when you flip the second element of 1? (c) What happens when you mask (set to zero) the first element of 3? (d) Find at least three spurious memories of the network