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Vector Spaces and Quotient Spaces

Exams

GATE MA

Years

2026

Subjects

Linear Algebra

Topics

Vector Spaces and Quotient Spaces
Eigenvalues
Eigenvalues and Eigenvectors
Group Theory
Inner Product Spaces and Orthonormal Basis
Jordan Canonical Form and Eigenspaces
Linear Algebra
Linear Systems and Determinants
Linear Transformations (Rank-Nullity Theorem)
Matrix Representation of Linear Transformations
Matrix algebra
Positive Definite Matrices
Quadratic Forms and Eigenvalues
Rank
Simultaneous Triangularization and Commutators
Symmetric, Skew-Symmetric, Hermitian, Skew-Hermitian, Normal, Orthogonal and Unitary Matrices
Systems of Linear Equations

List of top Linear Algebra Questions on Vector Spaces and Quotient Spaces asked in GATE MA

Let \( M_3(\mathbb{R}) \) be the vector space of all \( 3 \times 3 \) real matrices over \( \mathbb{R} \) under usual matrix addition and scalar multiplication. Let \( T_3(\mathbb{R}) \) be the set of all \( 3 \times 3 \) real upper triangular matrices. Which one of the following is TRUE?

GATE MA - 2026
GATE MA
Linear Algebra
Vector Spaces and Quotient Spaces