The exam generally tests: > Python Programming > Basic ML Theory . MBZUAI Entry Exam Sample Questions Section 1: Linear Algebra (30%) Question 1: Let ( A ) be a 3x3 matrix with eigenvalues ( 2, -1, 3 ). What is the determinant of ( A^2 - 2A )?
What is the bias-variance decomposition of expected test error? Write the formula and briefly explain each term. Section 4: Machine Learning Basics (15%) Question 10: Why does L2 regularization produce smaller but non-zero weights, while L1 regularization can produce exact zeros? mbzuai entry exam sample questions
Consider ( f(x) = x^3 - 2x + 1 ). Perform one iteration of gradient descent starting at ( x_0 = 1 ) with learning rate ( \eta = 0.1 ). What is ( x_1 )? The exam generally tests: > Python Programming >