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GATE CS 2026 Mastery Course
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Module 3
Engineering Mathematics: Linear Algebra, Calculus & Probability
Matrix Properties: Rank, Determinant, and Inverse
Compute the rank, determinant, and inverse of a matrix.
2
Gaussian Elimination: Solving Systems of Linear Equations
Determine the consistency of a system of linear equations and solve it using Gaussian elimination.
3
Eigenvalues, Eigenvectors, and the Cayley-Hamilton Theorem
Calculate eigenvalues and eigenvectors of a matrix and apply the Cayley-Hamilton theorem to find matrix powers or inverses.
4
Limits, L'Hôpital's Rule, and Continuity
Evaluate limits of functions using L'Hôpital's rule and determine function continuity and differentiability.
5
Optimization and Mean Value Theorems
Find local and global maxima/minima of single-variable functions using derivative tests and apply Mean Value Theorems.
Advanced Integration Techniques
Evaluate definite and improper integrals using techniques like substitution, integration by parts, and partial fractions.
7
Probability and Expectation with Standard Distributions
Calculate probabilities and expectations for random variables following standard distributions (Binomial, Poisson, Uniform, Exponential, Normal).
8
Conditional Probability and Bayes' Theorem
Apply conditional probability and Bayes' theorem to solve probabilistic problems.
Previous module
Discrete Mathematics: Graph Theory & Recurrence Relations
Next module
Digital Logic and Computer Arithmetic