**Algebra Notes PDF**

In these “** Algebra Notes PDF**”, we will study the basic tools of theory of equations, complex numbers, number theory, and matrices to understand their connection with real-world problems. Perform matrix algebra with applications to computer graphics.

We have provided multiple complete Algebra Notes PDF for any university student of BCA, MCA, B.Sc, B.Tech CSE, M.Tech branch to enhance more knowledge about the subject and to score better marks in the exam. Students can easily make use of all these Algebra Notes PDF by downloading them.

**Topics in our Algebra Notes PDF**

The topics we will cover in these **Algebra Notes PDF** will be taken from the following list:

**Theory of Equations and Complex Numbers: **Polynomials, The remainder and factor theorem, Synthetic division, Factored form of a polynomial, Fundamental theorem of algebra, Relations between the roots and the coefficients of polynomial equations, Theorems on imaginary, integral and rational roots; Polar representation of complex numbers, De Moivre’s theorem for integer and rational indices and their applications. The nth roots of unity.

**Equivalence Relations and Functions: **Equivalence relations, Functions, Composition of functions, Invertibility, and inverse of functions, One-to-one correspondence, and the cardinality of a set.

**Basic Number Theory: **Well ordering principle, The division algorithm in Z, Divisibility, and the Euclidean algorithm, Fundamental theorem of arithmetic, Modular arithmetic, and basic properties of congruences; Principle of mathematical induction.

**Row Echelon Form of Matrices and Applications: **Systems of linear equations, Row reduction, and echelon forms, Vector equations, The matrix equation Ax = b, Solution sets of linear systems, The inverse of a matrix; Subspaces, Linear independence, Basis and dimension, The rank of a matrix and applications; Introduction to linear transformations, The matrix of a linear transformation; Applications to computer graphics, Eigenvalues and eigenvectors, The characteristic equation and Cayley-Hamilton theorem.

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**Algebra Reference Books List**

We have listed the best Algebra Reference Books that can help in your Algebra exam preparation:

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