Consider a $2-$class classification problem in a $2-$dimensional feature space $x={|}_{{?}_{?}}{x}_1,x_2|,$ with target variable $y-1$ or $-1.$ Suppose we create a perceptron classifier $y=w^{TT}x$ with the initial weights $w_0=0\mathrm{.}1,w_1=0\mathrm{.}2,$ and II$..0.$ Here $w_0$ is the blas, and the vector $x$ is augmented with $x_0=1.$

Write the weights after processing data points $\{x=[2,1],y=-1\}$ and $[1,4\}.$ Show your calculations $($with learning rate eta $=0\mathrm{.}1).$