Tables

square matrices of order 2).Concept of elementary row andcolumn operation. Invertiblematrices and proof of theuniqueness of inverse if it exists(Here all matrices have realentries).2.DeterminantsDeterminants of a square matrix(upto 3x3 matrices), Properties ofdeterminants, minors, co-factorsand application of determinantsin finding the area of triangle,Adjoint and inverse of a squarematrix,consistency,inconsistency, and number ofsolutions of system of linearequations in two or threevariables (having uniquesolutions) using inverse of amatrix.Unit-IIICalculus1. Derivatives Recall of the concept ofderivatives of a function.Derivative of compositefunctions, chain rule, derivativesof inverse trigonometricfunctions, derivative of implicitfunctions, concept of exponentialand logarithmic functions andtheir derivatives. Logarithmicdifferentiation, derivative offunctions expressed in