General expression for gradient, divergence curl and Laplace operators in orthogonal curvilinearCo-ordinates and their explicit form in Cartesion spherical-co-ordinates, Stokes theorem and Gausstheorem.
Algebraic operation – Rank of a matrix. Eigen values and Eigen vectors - characteristic equation –Cayely Hamilton theorem – Diagonalisation and Diagonalizability of unitary orthogonal. Hermitian andsymmetric matrices.Special functionsLegendre, Hermite and Lagune equation basic properties – Gamma and Beta functions;
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PG TRB PHYSICS 10 UNITS QUESTION AND ANSWER 2016 (Last updated 25.07.2016)