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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://civil-services-maths-opti03579.idblogz.com/23087169/5-simple-statements-about-maths-optional-upsc-syllabus-pdf-explained


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