UPSC-IFS | Mathematics Mains Syllabus | Complete Paper 1 & 2 |
Mathematics Syllabus Paper – I Mathematics Section-A Linear Algebra : Vector, space, linear dependence and independence, subspaces, bases, dimensions. Finite dimensional vector spaces. Matrices, Cayley-Hamilition theorem, eigen-values and eigenvectors, matrix of linear transformation, row and column reduction, Echelon form, equivalences, congruences and similarity, reduction to cannonical form, rank, orthogonal, symmetrical, skew symmetrical, unitary, hermitian, skewhermitian forms- … Read more