Top Linear Algebra PYQs Explained | Vector Spaces, Matrices, Eigenvalues & More Explained

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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

Subgroups and cyclic groups

Cosets and Lagrange’s Theorem

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