for non homogeneous linear equation find all consistent solution

Consider the homogeneous equations a 1 x + b 1 y + c 1 z = 0 a 2 x + b 2 y + c 2 z = 0 a 3 x + b 3 y + c 3 z = 0 The homogenous system of equations is always consistent because x = 0, y = 0, z = 0 satisfies all the equations in the system..

Consider the non-homogeneous equations a 1 x + b 1 y + c 1 z = d 1 a 2 x + b 2 y + c 2 z = d 2 a 3 x + b 3 y + c 3 z = d 3 This can be written as |A| may or may not be ze..

If a system of linear equations has at least one solution, then the system is called consistent, otherwise it is called inconsistent. Solve the system of linear equations (1) by using method of elimination as studied earlier Multiplying t..

A system of linear equations is said to be consistent if it has a solution. This means that the solution satisfies all the equations in the system simultaneously. If a system of linear equations has no solution..

A system is called homogeneous if physical properties and chemical composition are identical throughout the system. A pure gas or consistent mixture of gases e.g., an oxygen cylinder, or a pure liquid or solid in a container are examples of homogeneous system..

Colloidal sols are biphasic in nature. It consists of the dispersed phase and the dispersion medium. In the colloidal solution, each particle is contained within its own surface boundary and therefore has a separate existence from the dispersion mediu..

A Solution is a homogeneous mixture of two or more chemically non-reacting substances called components. The composition of the components can be varied with in certain limit..

Liquids and gases are almost always homogeneous, which means that every portion of a particular sample is exactly like every other portion. Solids may be either homogeneous or heterogeneous. In a heterogeneous substance same portions of a particular sample may be different from..

The graphical method is applicable to solve the LPP involving two decision variables x 1 , and x 2 , we usually take these decision variables as x, y instead of x 1 , x 2 . To solve an LPP , the graphical method includes two major steps. a) The determination of the solution sp..

Application of Determinants, Area of a Triangle, Cramer's rule for the solution of a system of equations in 2 variables, Consistency of a system of linear equation. Application of Matrices, Homogeneous Equations (Con..