Algebra

Binomial theorem → Consistency of system of linear equations → Number of solutions of system of linear equations → Solving linear equations in three variables → Solving linear equations in two variables → Logarithms → Cramer's rule for three simultaneous equations → Definition of determinants → Expansion of determinants up to order 3×3 → Minors and cofactors → Properties of determinants → Addition of matrices → Adjoint of a square matrix → Inverse of a square matrix → Invertible matrices → Multiplication of matrices → Non-singular matrices → Singular matrices → Skew-symmetric matrices → Solving simultaneous equations using inverse of matrix → Symmetric matrices → Transpose of a matrix → Types of matrices → Number system → Permutations and combinations → HCF of polynomials → Polynomials and factors of second-degree polynomials → Ratios and proportions → Arithmetic progression → Exponential series → Geometric progression → Harmonic progression → Logarithmic series → Sum of series of cubes → Sum of natural numbers → Sum of series of squares → Surds → Theory of equations of degree ≥ 2 → Quadratic equation → Symmetric functions of roots →