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UPSC/IAS/CSE-Civil Services Maths/Mathematics Optional Syllabus Paper-1 2022-2023 Section-A (1) Linear Algebra: Vector spaces over R and C, linear dependence and independence, subspaces, bases, dimension; Linear transformations, rank and nullity, matrix of a linear transformation. Algebra of Matrices; Row and column reduction, Echelon form, congruence’s and similarity; Rank of a https://jaidenmljhw.blog-mall.com/23680973/the-single-best-strategy-to-use-for-maths-optional-syllabus-for-upsc-pdf


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