sum and product of eigenvalues trace determinant IIT Jam 2014 linear algebra

Linear Algebra: Finite dimensional vector spaces, linear independence of vectors, basis, dimension, linear transformations, matrix representation, range space, null space, rank-nullity theorem. Rank and inverse of a matrix, determinant, solutions of systems of linear equations, consistency conditions, eigenvalues, and eigenvectors for matrices, Cayley-Hamilton theorem.

sum and product of eigenvalues trace determinant characteristic polynomial IIT Jam 2014 mathematics

En Jam MA 2014, 12
Key (a)