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NTA CSIR - NET/JRF Mathematical Sciences LINEAR ALGEBRA 2024 : For IIT-JAM, GATE

NTA CSIR - NET/JRF Mathematical Sciences LINEAR ALGEBRA 2024 : For IIT-JAM, GATE

Author : Dr. Anand Kumar, Dr. D.C.Mishra & Dr. Yogesh Kumar

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  • ISBN : 9789355019554
  • Pages : 308
  • Binding : Paperback
  • Language : English
  • Imprint : S Chand Publishing
  • © year : 2023
  • Size : 8”x10.5”

Price : 549.00 439.20

Linear Algebra is meticulously designed to help you excel in the CSIR-NET/JRF Mathematical Sciences Examination. It offers a well-organized and structured approach to the subject. Each chapter is accompanied by detailed theory, providing a comprehensive understanding of the subject matter. To aid in your preparation, both subjective and objective-type questions are included, along with a diverse set of solved examples. To enhance your learning, we have incorporated two types of exercises at the end of each section. Exercise 1 features questions with only one correct option, while Exercise 2 consists of questions with one or more than one correct option. This book has 100% detailed solutions to all exercises, to facilitate the development of strong problem-solving skills.

  • The entire content of the book is very well-organized for CSIR-NET/IRF Mathematical Sciences Examination.
  • There are divided in two sections in the book.
  • SECTION-I - Elementary Matrices
  • Determinant
  • Adjoint and inverse of a Matrix
  • Rank of a Matrix
  • Systems of Linear Equation
  • Eigen Values \\\\& Eigen Vectors
  • Similar Matrices
  • Jordan Canonical Form
  • Quadratic Form
  • Basics of Matrices (Compact Theary)
  • SECTION- II - Vector Space
  • Quotient Space
  • Linear Transformation
  • Linear Product space & Bilinear Form
  • Each chapter has detailed theory with both subjective and objective types with varied solved examples.
  • At the end of each section, there are two types of exercises.
  • Exercise 1 (Only one option corrects) and
  • Exercise 2 (One or more than one option corrects)
  • All exercises are given with 100 % detailed solutions.

SECTION-I
 
  • ELEMENTARY MATRICES
  • DETERMINANT
  • ADJOINT AND INVERSE OF A MATRIX
  • RANK OF A MATRIX
  • SYSTEM OF LINEAR EQUATIONS
  • EIGEN VALUES & EIGEN VECTORS
  • SIMILAR MATRICES
  • JORDAN CANONICAL FORM
  • QUADRATIC FORM
  • BASICS OF MATRICES (COMPACT THEORY)
  • EXERCISE 1 (MCQs) ONLY ONE OPTION CORRECT
  • EXERCISE 2 (MCQs) ONE OR MORE THAN ONE OPTION
 
SECTION-II
 
  • VECTOR SPACE
  • QUOTIENT SPACE
  • LINEAR TRANSFORMATION
  • LINEAR PRODUCT SPACE AND BILINEAR FORM
  • EXERCISE 1 (MCQs) ONLY ONE OPTION CORRECT
  • EXERCISE 2 (MCQs) ONE OR MORE THAN ONE OPTION

NTA CSIR - NET/JRF Also useful for IIT-JAM, GATE

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