GATE CSE · Computer Science and Information Technology
Engineering Mathematics
Discrete Mathematics, Linear Algebra, Calculus, Probability and Statistics — foundational mathematics for computer science.
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Take a full mock →Q1 · Engineering Mathematics · MEDIUM
Let A be a 3×3 matrix with eigenvalues 2, 3, and 5. What is the determinant of the matrix (A² - 4I), where I is the identity matrix?
Q2 · Engineering Mathematics · EASY
How many different binary trees can be formed with 3 distinct nodes?
Q3 · Engineering Mathematics · MEDIUM
Consider a graph G with 9 vertices and 14 edges. If G is a connected planar graph, what is the number of faces (including the outer face) in G?
Q4 · Engineering Mathematics · EASY
What is the probability of getting exactly 2 heads when a fair coin is tossed 5 times?
Q5 · Engineering Mathematics · EASY
Let A be a 3×3 matrix with eigenvalues 2, 3, and 5. What is the determinant of the matrix (A - I), where I is the 3×3 identity matrix?