42 Given matrix X = 1 6 2 and column vector y = 1 44 decide whether y is an eigenvector 1 of X. If it is, what is eigenvalue A associated with y? Derive the analytical solution for ridge regression, which minimizes the objective function below: N λ Σ(hw(xn) - Yn)² + w² J(w) = 2N n=1 Make sure that your derivation of the solution ends with the vectorized version shown in class, i.e. using matrices and vectors (e.g., w, x, y, etc.).

42 Given matrix X = 1 6 2 and column vector y = 1 44 decide whether y is an eigenvector 1 of X. If it is, what is eigenvalue A associated with y? Derive the analytical solution for ridge regression, which minimizes the objective function below: N λ Σ(hw(xn) - Yn)² + w² J(w) = 2N n=1 Make sure that your derivation of the solution ends with the vectorized version shown in class, i.e. using matrices and vectors (e.g., w, x, y, etc.).