. Use the perceptron algorithm to manually find a weight vector w = [w₀,w₁,w₂]^T for linear classification of 3 data points (x_i,y_i) satisfying sign(w^Tx_i) = y_i. The input data are

x₁=(1,2,0)^T y₁=+1

x₂=(1,2,2)^T y₂=+1

x₃=(1,0,2)^T y₃=-1

The first element in vector x_iis always x₀=1 (See slides in lecture 1).

In the first step of the perceptron algorithm, the initial assignment of w is [0,6,6]^T. The intermediate steps of the computation are needed