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We devided the questions across key topics in linear algebra:

Vectors and vector spaces

Linear combinations and span

Linear independence

Basis and dimension

Linear transformations

Matrices and matrix operations

Rank and nullity

Determinants

Eigenvalues and eigenvectors

Diagonalization and Jordan form

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Group theory can be divided into several subtopics:

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Definition of groups and examples

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Homomorphisms and Isomorphisms

Normal subgroups and quotient groups

Group actions

Sylow theorems

Direct and semidirect products

Classification of finite groups

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Syllabus of Linear Algebra- Vector space, Linear dependence of vectors, Basis, Dimension, Linear transformations, Matrix representation with respect to an ordered basis, Range space and null space, Rank-nullity theorem, Rank and inverse of a matrix, Determinant, Solutions of system of linear equations, Consistency conditions, Eigenvalues and eigenvectors, Cayley-Hamilton theorem, Symmetric, Skew-symmetric, Hermitian, Skew-Hermitian, Orthogonal and unitary matrices.

Linear Algebra PYQ Paper Solution || CSIR NET || AP SET 2025
Top Linear Algebra PYQs Explained | Vector Spaces, Matrices, Eigenvalues & More Explained