Basic ConceptsTypes of Matrices (Part 1)Types of Matrix
Types of Matrices (Part 2)Operation of Matrices - EqualityNumerical based on Operation of Matrices - EqualityOperation of Matrices - AdditionOperations of Matrices - Multiplication by ScalarMultiplication by Scalar - ExamplesOperation of Matrices - Subtraction of MatricesOperation of Matrix - Negative of MatrixProperties of Matrix - Addition (Part 1)Properties of Matrix - Addition (Part 2)Properties of Matrix - Scalar Multiplication (Part 1)Properties of Matrix - Scalar Multiplication (Part 2)Problems on Operations of Matrices (Part 1)Problems on Operations of Matrices (Part 2)Multiplication of MatricesProblems Based on the Matrix MultiplicationProperties of Multiplication of MatricesProblems on properties of Multiplication of Matrices (Part 1)Problems on properties of Multiplication of Matrices (Part 2)Transpose of a MatrixProperties of Transpose of a Matrix Solving problems on Transpose of a Matrix (Part 1)Solving problems on Transpose of a Matrix (Part 2)Symmetric & Skew Symmetric MatrixTheorems of Symmetric & Skew Symmetric MatrixSolving problems on Symmetric & Skew Symmetric MatrixElementary Operation of MatrixInvertible MatricesInvertible Matrices Theory with ProofIntroduction to DeterminantsDeterminant of a Square Matrix (Part 1)Determinant of a Square Matrix (Part 2)Properties of Determinants (Part 1)Properties of Determinants (Part 2)Properties of Determinants (Part 3)Properties of Determinants (Part 4)Properties of Determinants (Part 5)Properties of Determinant (Part 6)Problems on Properties of Determinants (Part 1)Problems on Properties of Determinants (Part 2)Problems on Properties of Determinants (Part 3)Problems on Properties of Determinants (Part 4)Application of DeterminantsArea of Triangle using Determinants & an exampleFormulas of Area of Triangle using DeterminantsProblems of Area of Triangle Type (1) Part -1Problems on Area of Triangle (Type 2) - Part 2Adjoint and inverse of a square matrixConsistent and Inconsistent systemSolving linear equations in 2 or 3 variablesContinuity and Differentiability & derivative of composite functionsChain Rule and Derivatives of inverse trigonometric functionsDerivative of implicit functionsConcept of exponential and logarithmic functionsDerivatives of logarithmic and exponential functionsLogarithmic Differentiation & Derivative of functions in parametric formsSecond Order DerivativesRolle's and Lagrange's Mean Value TheoremsConcept & Rate of Change of QuantitiesIncreasing and Decreasing FunctionsTangents and NormalsUse of derivatives in approximationMaxima and Minima, Simple problemsIntegration as inverse process of differentiationIntegration of a variety of functions by substitutionBy partial fractions and by partsEvaluation of simple integrals of the following types and problems based on themDefinite integrals as a limit of a sumFundamental Theorem of CalculusBasic properties of definite integrals and evaluation of definite integralsApplications in finding the area (in standard form)Area between any of the curvesBasic ConceptsFormation of differential equation whose general solution is givenSolution of homogeneous differential equationsSolutions of linear differential equationVectors and Scalars, Magnitude and direction of a vectorDirection cosines and direction ratios of a vectorTypes of vectorsPositive and negative vector of a point, Components of a vectors & Addition of vectorsMultiplication of a vector & Position of a point Definition & Geometrical InterpretationProperties and application of different types of vector productDirection cosines and direction ratios of a line joining two pointsCartesian equation and vector equation of a lineCoplanar and skew lines, shortest distance between two linesCartesian and vector equation of a planeFind angles and distance of a point from a planeConditional Probability & multiplication theorem on probabilityIndependent events and Total probabilityBaye's theorem, random variable and its probability distributionMean and variance of random variableRepeated independent trails & Binomial distributionBasic ConceptTypes of RelationsTypes of functionsComposition of functions & invertible functionBinary OperationsBasic ConceptsProperties of Inverse Trigonometric FunctionsLinear Programming Problem and its Mathematical FormulationDifferent Types of Linear Programming ProblemsAll the chapters of class 12 maths of NCERT syllabus cover in the free video tutorial. These tutorials are accurate and easy-to-understand as it is in the Hindi language.
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