Mbzuai Entry Exam Sample Questions |link| May 2026

Let ( X \sim \mathcalN(0,1) ). Compute ( \mathbbE[e^X] ). (Hint: MGF of normal)

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 )? mbzuai entry exam sample questions

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? Let ( X \sim \mathcalN(0,1) )