Examples:
skew-symmetric for every square matrix A. That is any square matrix is expressible as the sum of a symmetric matrix and a skew-symmetric matrix. 5. A matrix which is both symmetric and skew symmetric is a zero matr..
skew-symmetric for every square matrix A. That is any square matrix is expressible as the sum of a symmetric matrix and a skew-symmetric matrix. 5. A matrix which is both symmetric and skew symmetric is a zero matr..Summary
>If any two rows or columns of a determinant are equal, then its value is zero. If each element of a row or column of a determinant multiplied by k, then its value is multiplied by k. If two rows or columns of determinant are proportional, the value of the determinant is zero. A square A = [a i j ]..
>If any two rows or columns of a determinant are equal, then its value is zero. If each element of a row or column of a determinant multiplied by k, then its value is multiplied by k. If two rows or columns of determinant are proportional, the value of the determinant is zero. A square A = [a i j ]..Some Basic Definitions
Polynomials - An expression of the form in which a i are numbers belonging to some number system and 'n' is a non-negative integer, is called a polynomial. a i are called the coefficients of if a o 0, the polynomial is said to be of degree ..
Polynomials - An expression of the form in which a i are numbers belonging to some number system and 'n' is a non-negative integer, is called a polynomial. a i are called the coefficients of if a o 0, the polynomial is said to be of degree ..Basic Concept of Linear Programming Problem
Objective Function: The Objective Function is a linear function of variables which is to be optimised i.e., maximised or minimised. e.g., profit function, cost function etc. The objective function may be expressed as a linear expression. Constraints: A linear equ..
Boolean Algebra Introduction
. Boolean algebra is used in many spheres of activities such as electrical and telecommunication engineering, analysis of propositions, controlling the flow of pulses, mathematical expressions. Therefore, Boolean algebra is considered to be modern mathematics. Before w..
Basic Definitions
Set: A well-defined collection of distinct objects is called a set. Notation of Sets: Capital letters are usually used to denote or represent a set. Representation of Sets: There are two methods of representing a set. (i) Roster Method (ii) Set builder form. Finite an..
Basic Proportionality Theorem
Basic Proportionality Theorem - A line parallel to one side of a triangle divides the other two sides into parts of equal proportion. In triangle ABC, a line drawn parallel to BC cuts AB and AC at P and Q respectively. Let the point P divide AB in the ratio of l: m where l and m are natur..
Basic Proportionality Theorem - A line parallel to one side of a triangle divides the other two sides into parts of equal proportion. In triangle ABC, a line drawn parallel to BC cuts AB and AC at P and Q respectively. Let the point P divide AB in the ratio of l: m where l and m are natur..Basic Geometrical Concepts
Point : It is an exact location. It is a fine dot which has neither length nor breadth nor thickness but has position i.e., it has no magnitud..
Basic Proportionlity Theorem
A line parallel to one side of a triangle divides the other two sides into parts of equal proportio..
Basic Geometrical Concepts
Fundamental concepts of Geometr..
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