basic linear algebra elements

A solution of a linear equation is the value of the variable which makes LHS = RHS. It is also called the "root" of the equation. To solve a linear equation , we transpose all the terms containing the variable to one side and the constant terms to the other. The equation then red..

A linear equation of the form ax + by + c = 0 where a = 0, b 0 is called a linear equation in two variables. An equation is called a linear equation in one variable or an equation of degree one in one variable, if only a single variable with degree one occurs in ..

Simultaneous Equations - A linear equations in two variables x and y is of the form ax + by + c = 0 ( ) where a, b, c are real numbers. To find a solution for this equation, we can assign any value for one of the variables and find the value of the other variable such that the two sides of the..

Solve the Systems of linear equations by Method of Elimination (by Addition): 3x - 4y = 20 (i) 5x + 6y = 8 (ii..

Solve the following Systems of linear equations : 1. If one number is thrice the other and their sum is 60, find the numbers. 2. Find the fraction which becomes 1/2 when the denominator is increased by 5 and is equal to 1/3 when the numerator is diminished by 4..

2x + 3y = 5, x - 2y = 6, -6x + y =8 A pair of values of x and y that satisfy a given linear equation in two variables is said to be its soluti..

The set of all the second elements of the ordered pairs of a function is called the rang..

Summary - A function is a relation on A x B is which A function is a relation on A x B is which (i) no two second elements have a common first element. (ii) every first element has a corresponding second element. Every function is either one-one onto or one-o..

A pair of objects, written in a specified order is called an ordered pair. For the ordered pair (a,b), a is called the first element and b, the second element..

For an element of B there is more than one element of A..