LINEAR ALGEBRA

INTRODUCTION OF MATRIX HAND WRITTEN NOTE

A matrix is a collection of numbers ordered by rows and columns. It is customary to enclose the elements of a matrix in parentheses, brackets, or braces. For example, the following is a matrix: This matrix has two rows and three columns, so it is referred to as a “2 by 3” matrix. The elements …

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BASIC CONCEPTS OF LINEAR ALGEBRA NOTES

Linear algebra is the branch of mathematics concerning vector spaces and linear mappings between such spaces. It includes the study of lines, planes, and subspaces, but is also concerned with properties common to all vector spaces. PAGE:- 225 The set of points with coordinates that satisfy a linear equation forms a hyperplane in an n-dimensional …

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MODERN ALGEBRA:- RING THEORY NOTE BY DIPS ACADEMY

In mathematics, a ring is one of the fundamental algebraic structures used in abstract algebra. It consists of a set equipped with two binary operations that generalize the arithmetic operations of addition and multiplication. Through this generalization, theorems from arithmetic are extended to non-numerical objects such as polynomials, series, matrices and functions.  A ring is …

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LINEAR TRANSFORMATION AND REAL ANALYSIS HAND WRITTEN NOTE BY DIPS ACADEMY

A linear transformation is a function from one vector space to another that respects the underlying (linear) structure of each vector space. A linear transformation is also known as a linear operator or map.  The range of the transformation may be the same as the domain, and when that happens, the transformation is known as …

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NBHM P.HD PREVIOUS ALGEBRA QUESTIONS WITH SOLUTIONS

Here we are with NBHM P.HD PREVIOUS ALGEBRA QUESTIONS WITH SOLUTIONS for you, To improve your exam preparation. We suggest you Download all Books and notes. we will post important PDF every day. These PDF will help you a lot in your competitive exams. Jigs Solanki provides you with the best chosen study material like …

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RING THEORY HAND WRITTEN NOTE

In algebra, ring theory is the study of ring algebraic structures in which addition and multiplication are defined and have similar properties to those operations defined for the integers.  Ring theory studies the structure of rings, their representations, or, in different language, modules, special classes of rings (group rings, division rings, universal enveloping algebras), as …

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LINEAR ALGEBRA HAND WRITTEN NOTE BY DIPS ACADEMY

Linear algebra is central to almost all areas of mathematics. For instance, linear algebra is fundamental in modern presentations of geometry, including for defining basic objects such as lines, planes and rotations.  Also, functional analysis may be basically viewed as the application of linear algebra to spaces of functions. Linear algebra is also used in …

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