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Engineering Mathematics · Linear Algebra
Official IIT answer key · IIT Kharagpur · Audited Aug 2026
GATE CSE 2014 Set 1 Q5 · NAT · 1 mark
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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 value of the dot product of the eigenvectors corresponding to any pair of different eigenvalues of a 4-by-4 symmetric positive definite matrix is …
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