What is the syllabus of PUCAT mathematics algebra section?

<p>Candidates can check the space below to know about the syllabus of PUCAT mathematics algebra section:<br>Groups, subgroups, Abelian groups, non-abelian groups, cyclic groups, permutation&nbsp;groups; Normal subgroups, Lagrange's Theorem for finite groups, group homomorphism and&nbsp;quotient groups, Rings, Subrings, Ideal, Prime ideal; Maximal ideals; Fields, quotient field. Vector spaces, Linear dependence and Independence of vectors, basis, dimension, linear transformations, matrix representation with respect to an ordered basis, Range space and null space, rank-nullity theorem; Rank and inverse of a matrix, determinant, solutions of systems of linear equations, consistency conditions. Eigenvalues and eigenvectors. Cayley-Hamilton theorem. Symmetric, Skew symmetric, Hermitian, Skew-Hermitian, Orthogonal and Unitary matrices.</p>

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