En Gate MA 2015, 14

Syllabus of Linear Algebra- Vector space, Linear dependence 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 system of linear equations, Consistency conditions, Eigenvalues and eigenvectors, Cayley-Hamilton theorem, Symmetric, Skew-symmetric, Hermitian, Skew-Hermitian, Orthogonal and unitary matrices.