T/F: You are given a dataset with 200 samples and 20000 features. Applying the ridge regression to this dataset with lambda = 0.4 always has a unique closed-form solution.

T/F: You are given a dataset with 20000 samples and 200 features. Applying the ridge regression to this dataset with lambda = 0.01 always has a closed-form solution

T/F: You are given a dataset with 200 samples and 20000 features. Applying the ridge regression to this dataset with lambda = 0 always has a closed-form solution

T/F: You are given a dataset with 20000 samples and 200 features. Applying the ridge regression to this dataset with lambda = 0 always has a closed-form solution

Please offer relevant explanations, thank you!