Engineering Mathematics · Linear Algebra
Official IIT answer key · IIT Roorkee · Audited Aug 2026
GATE CSE 2026 Set 2 Q62 · NAT · 2 marks
Key concept
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Topic notes
Linear Algebra in GATE CS is consistently tested across fundamental properties of matrices, systems of linear equations, and spectral theory (eigenvalues and eigenvectors). Questions heavily leverage algebraic identities such as trace-sum, determinant-product relations, rank-nullity theorem, and structural properties like orthogonality of symmetric matrices and LU decomposition. Problems frequently appear as 1-mark and 2-mark conceptual MCQs/MSQs or direct numerical computation NATs.
Full Linear Algebra guide →The determinant of a 4 4 matrix A is 3. The value of the determinant of 2A is … (answer in integer)
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Independent practice explanation verified by the GateAI team. GATE is conducted by the IITs; question text follows the official paper.
