PRECIZE Algebra (Multi-Disciplinary Course)

₹195.00

The present book is meant for those students who opt mathematics as a Multi- Disciplinary Course as per NEP 2020. It is the culmination of honest and sincere efforts on the part of the author to meet the requirements of the students who did not study mathematics at the Senior Secondary level.

The entire subject matter has been arranged in a systematic, graded, simple, lucid and exhaustive manner to meet the various needs of all types of learners. Special emphasis has been laid on fundamentals for better understanding of the subject. Each chapter begins with some definitions followed by theorems with complete proofs and a lot of solved problems so that the study leads to perfect clarity and understanding. A large number of notes and remarks have been added for a better understanding of the subject. Well-planned and exhaustive exercises have been given in each chapter to provide the students with an opportunity of exhaustive practice.

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Description

Principle of Mathematical Induction, Fundamental Principle of counting.

Linear Inequalities: Algebraic and Graphical Solution of Linear Inequalities in one and two variables.

Complex Numbers: Definition of a complex number, addition, subtraction, multiplication and conjugate of complex numbers. Representation of a complex number in a plane (Cartesian as well as polar coordinate plane), Modulus and Argument of a complex number.

Polynomials: Definition, Addition of polynomials, Product of polynomials, Euclid’s algorithm, Remainder Theorem, Factor Theorem, Horner’s Method of Synthetic Division (all theorems Without Proof)

Matrices: Definition, Types of Matrices, Equality of Matrices, Addition and Subtraction of Matrices, Scalar Multiplication, Multiplication of Matrices, Transpose of a Matrix, Symmetric and Skew-Symmetric Matrix.

Determinants: Determinant of Square Matrices of Order 1, 2 and 3. Application of determinants like area of a triangle, condition for collinearity of three points etc.

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