Matrices and Determinants


This chapter deals with both Matrices and Determinants. This chapter is important from the point of view of IIT JEE, AIEEE and other engineering examinations. Matrices are one of the several mathematical tools which can be usefully employed in solving simultaneous equations. Here, we have discussed the classification of matrices. Application of properties such as multiplication of two matrices, the concept of inverse has been dealt with adequate number of illustrations of different levels. With the help of matrices we can find solution of a system of simultaneous linear equations. This has been expressed in detail with ample problems and by illustrations. A sufficient number of assignment problems both subject and objective are provided for the students to test their acquired knowledge and skill. Knowledge of the determinants is very useful for almost all the topics of Mathematics especially in the vectors, coordinate geometry and calculus. The application of properties of determinants in solving linear equations has been dealt with in a unique way and discussed by illustrations in depth. In this chapter we will learn about determinants of third order and it’s properties. With the help of these properties, the determinants can be easily simplified. Uses of Determinant in solving simultaneous linear equations have great importance in the study of Mathematics. The chapter starts with 

Topics Covered under Matrices and Determinants are:-

  1. Matrices: Definition and Classification
  2. Algebra of Matrices
  3. Special Matrices
  4. Elementary Operations of a Matrix
  5. System of Simultaneous Linear Equations
  6. Determinants: Definitions & Properties
  7. Minors and Cofactors
  8. Operations on Determinants
  9. Determinants: System of Linear Equations
  10. Solved Examples

Matrices and Determinants are important from IIT JEE and AIEEE perspective. Objective questions are framed on this section. AIEEE definitely has 1-2 questions every year directly on these topics. It is very important to master these concepts at early stage as this forms the basis of your preparation for IIT JEE and AIEEE Mathematics. At askIITians we provide you free study material on these topics so that you get all the professional help needed to get through IIT JEE and AIEEE easily. AskIITians also provides live online IIT JEE preparation and coaching where you can attend our live online classes from your home! 
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