Mathematics Syllabus of UPSC (IAS) Examination
Paper I (1) Linear Algebra Vector spaces over R and C, linear dependence and independence, sub-spaces, bases, dimensions, 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 matrix; Inverse of a matrix; Solution of system of linear equations; Eigenvalues and …