determinants unknown

>A system of linear equations is said to be consistent if it has at least are solution, otherwise it is inconsistent. Let A be asquare matrix of order n. Following are the steps to find the inverse of a matrix. Step 1: Find the value of the determinants A. That is, find |A| Step 2: If |A|..

Conclusion - We have seen the application of matrices and determinants in solving system of linear equation with three unknown variables. Matrices and determinants are also widely used in solving large system of linear equation. Some of these methods are Gauss-eliminat..

In order to determine the molecular mass of unknown non volatile compound, a known mass (say w g) of the compound is dissolved to prepare a known volume (say v liters) of solution. The osmotic pressure of the solution is determined and the molar mass is calculated as f..

Empirical and molecular formulae of a compound can be determined from the composition of the compound, which is expressed in terms of the percentage of each element present in it. To determine the formula of an unknown compound the following steps are taken: Empirical..

Solution of triangles - We have studied that a triangle has six parts or six elements viz three sides and three angles. From geometry, we know that when any three elements are given of which necessarily a side is given, the triangle is completely determined i.e, remaining three elements c..

We have seen the application of matrices and determinants in solving system of linear equation with three unknown variables. Matrices and determinants are also widely used in solving large system of linear equation. Some of these methods are Gauss-elimination method, G..

Note that we can also evaluate the determinant D 1 , D 2 and D 3 directly without using the properties of determinant. The solution of the system is given by It is important to mention here the consistency and inconsistency of a system of linear equations with three unknown..

Graham's law is useful in: Separation of gases having different densities by diffusion. Determining the densities and molecular masses of unknown gases by comparing their rates of diffusion with known gases. Separating the isotopes of some of the element..

Titration is an operation for the measurement of quantities of substances in solution by the method of 'volume analysis'. This process involves adding a solution of the reagent of known concentration (standard solution), taken in a burette (called 'titrant'), to an unknown solution (calle..

>A system of linear equations is said to be consistent if it has at least are solution, otherwise it is inconsistent. Let A be asquare matrix of order n. Following are the steps to find the inverse of a matrix. Step 1: Find the value of the determinants A. That is, find |A| Step 2: If |A|..