Question 12: While training a perceptron model, the weight vector at …

While training a perceptron model, the weight vector at some iteration $t$ is $\mathbf{w}^t$. The next two data-points picked up by the perceptron algorithm in the course of its execution is $(\mathbf{x}_1, y_1)$, and $(\mathbf{x}_2, y_2)$ where $y$ is the true label:

$\mathbf{w}^t = \begin{bmatrix} 1 \\ 2 \\ 3 \\ 4 \end{bmatrix}, \quad \mathbf{x}_1 = \begin{bmatrix} 1 \\ 0 \\ -1 \\ 1 \end{bmatrix}, \quad y_1 = 1, \quad \mathbf{x}_2 = \begin{bmatrix} -2 \\ 1 \\ 1 \\ -1 \end{bmatrix}, \quad y_2 = -1$

What are the value of $\mathbf{w}^{t+1}$ and $\mathbf{w}^{t+2}$?