Matrices and their Applications (Weightage 1%)  

Topics from Matrices and their Applications

  • Matrices, algebra of matrices, types of matrices (112 concepts)
  • Adjoint and evaluation of inverse of a square matrix using deteminants and elementary transformations (28 concepts)
  • Test of consistency and solution of simultaneous linear equation in two or three variables using determinants and matrices (30 concepts)
  • Determinants and matrices of order two and three (4 concepts)
  • Properties of determinants, evaluation of determinants (28 concepts)
  • Permutation as an arrangement and combination as selection (17 concepts)
  • Fundamental principle of counting (3 concepts)
  • Meaning of P(n,r) and C( n,r), Simple applications (38 concepts)
  • Bionomial theorem for a positive integral index, general term and middle term (21 concepts)
  • Properties of bionomial coefficients and simple applications (21 concepts)
  • Arithmetic and geometric progressions,insertion of arithmetic (32 concepts)
  • Geometric means between two given numbers (2 concepts)
  • Arithmetic, Geometric & Harmonic Progressions (7 concepts)
  • Relation between A.M. and G.M. (3 concepts)
  • Sum upto n terms of special series: Sn, Sn2, Sn3 (7 concepts)
  • Principle Of Mathematical Induction And Its Simple Applications (10 concepts)