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://upscmathsoptionalsyllabus68901.blogminds.com/5-essential-elements-for-jkpsc-jkpcs-jkcs-kas-maths-optional-syllabus-17069228