Mbzuai Entry Exam Sample Questions Best

MBZUAI heavily filters candidates based on mathematical rigor. Spend 60% of your prep time on undergraduate-level linear algebra, multivariate calculus, and foundational statistics.

Python basics, recursion, and data structures (trees, graphs, heaps). Machine Learning

: Identifying differences and real-world examples. mbzuai entry exam sample questions best

Given the function ( f: \mathbbR^3 \to \mathbbR^2 ) defined as: [ f(x,y,z) = \beginbmatrix x^2 y + \sin(z) \ e^x + yz \endbmatrix ] What is the ( J_f ) evaluated at the point ( (0, 1, 0) )?

while (counter >= 100): (Incorrect: Infinite loop/logic error) ( v v^T = \beginbmatrix 9 & 12 \ 12 & 16 \endbmatrix )

To find the eigenvalues, solve the characteristic equation

Projection matrix onto a vector ( v ) is ( P = \fracv v^Tv^T v ). ( v v^T = \beginbmatrix 9 & 12 \ 12 & 16 \endbmatrix ). ( v^T v = 25 ). Thus ( P = \frac125\beginbmatrix 9 & 12 \ 12 & 16 \endbmatrix ). Correct answer: A which is convex.

The university occasionally releases a 10-question PDF. Check the Admissions portal under "Entry Exam Resources." This is gold standard, though limited in volume.

( \log(1 + e^-a) ) is the softplus function, which is convex. An affine transformation ( (w^T x) ) inside a convex function yields a convex function. Correct answer: A

Expect questions regarding basic algorithms, loss functions, and model evaluation.

MBZUAI - Mohamed bin Zayed University of Artificial Intelligence