MMT-002 IGNOU Guess Paper 2026-27

Key Syllabus Units & Topics

• Block-1: Jordan Canonical Form: Explores the decomposition of matrices into Jordan blocks, enabling efficient computation of powers and solutions to linear recurrence relations. Key concepts include diagonalizability, generalized eigenvectors, and applications in solving homogeneous differential equations.
• Block-2: Applications of Unitary Matrices: Focuses on orthogonal and unitary transformations, preserving inner products and norms. Topics include Schur decomposition, spectral theory, and geometric interpretations of matrix operations in quantum mechanics and signal processing.
• Vector Spaces & Linear Transformations: Covers subspaces, basis, dimension, and linear mappings between vector spaces, with emphasis on kernel, range, and rank-nullity theorems.
• Eigenvalues and Eigenvectors: Delves into characteristic polynomials, spectral radius, and diagonalization, linking abstract theory to concrete examples in graph theory and Markov chains.
• Matrix Algebra & Determinants: Reinforces operations on matrices, inverses, and determinants, with applications to solving linear systems and Cramer’s rule.

Frequently Asked Questions

Q: How are marks distributed in the MMT-002 TEE, and what weightage does each unit carry?
A: The Term-End Examination for MMT-002 follows a 70% theory + 30% problem-solving split, with Block-1 (Jordan Canonical Form) and Block-2 (Unitary Matrices) typically weighted at 30% each, while foundational topics (e.g., vector spaces, eigenvalues) account for the remaining 40%. Past papers reveal 20–25% of questions repeat annually, focusing on canonical forms and unitary applications.

Q: Are there specific resources or past papers recommended to achieve >80% in MMT-002?
A: Analyze the last 5 years of June/December TEE papers (available on eGyanKosh) to identify recurring questions on Jordan blocks and unitary matrix properties. Prioritize solving 15–20 past problems per unit, allocating 30–40 minutes per question to match exam pacing. Focus on Block-1 and Block-2, as they dominate high-scoring sections.