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GATE DA Linear Algebra syllabus

Vector spaces, special matrices, linear systems, eigenvalues and matrix decompositions.

About Linear Algebra in GATE DA

The GATE DA 2027 syllabus lists 7 topics under Linear Algebra.

It is one of the 7 subjects that together carry 85 of the 100 marks (Data Science & AI subjects). General Aptitude adds 15 marks and is common to every paper. The exam has 65 questions (MCQ, MSQ and NAT) in 3 hours.

See the full GATE DA syllabus for every subject and the marks distribution.

Same material in another paper

Linear Algebra topics

  • Vector spaces and subspaces; linear dependence and independence of vectors
  • Matrices: projection, orthogonal, idempotent and partition matrices and their properties
  • Quadratic forms
  • Systems of linear equations and their solutions; Gaussian elimination
  • Eigenvalues and eigenvectors
  • Determinant, rank and nullity; projections
  • LU decomposition and singular value decomposition (SVD)

Linear Algebra PYQs & weightage

GATE DA 2025: 8 questions, 12 marks. Every answer is from the official final answer key. Weightage becomes more reliable as more years are added.

Practise Linear Algebra questions →