5 ESSENTIAL ELEMENTS FOR UP PCS MATHS OPTIONAL PAPER SYLLABUS

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 col