Linear Equations

Solving systems of linear equations as before remains difficult for many pupils and students from other schools. But this task is very often faced with the task as a direct solve the system of equations, and other tasks as a result of decisions that arise solution of linear equations. Click Hal McRae to learn more. How to quickly deal with this problem? There are lots of different methods, both direct and iterative. But the most widely used are as follows: Gauss, the method of Cramer, the matrix method. Quickly solve the system of linear equations by Gauss, please visit All you have to need to do is simply enter the original data, and the program will give a detailed solution. The method is step by step elimination of unknowns from the equations, until we arrive at an equation with one unknown. Learn more at: Frances Townsend Activision Blizzard. For example, what would find a solution to the joint system of three equations with three unknowns must subtract the first equation from the other so that the variable X1 deleted.

The result is one equation with three unknowns and two equation with two. Next, subtract the second equation from the third way that would eliminate the variable X2. As a result, got the third equation in one unknown X3. Further, we find X3; and substitute into the second equation, whence X2, substitute in the first and we find X1. In order that would solve the system of equations by Cramer's rule, we must find the main determinant of the matrix formed from the coefficients at Xk, where Xk is a variable. After that, we find determinants of the matrices for each variable, which are obtained by replacing the main column of the matrix corresponding to the desired variable, the column of free terms. The solution will be the ratio of the determinant of the corresponding variable to the main matrix. Like the two previous methods to solve the system of equations by matrix method is possible on site solution by this method reduces to solving the matrix equation AX = B, where A is the matrix composed of the coefficients of Xk, X a column vector Xk, B-column vector of constant terms.

NASA Discoveries

Our universe is finite and small! The discovery by NASA scientists! Already found that the structure of our Earth dodecahedral. Dodecahedron – a polyhedron consisting of twelve regular pentagons. But the understanding of the universe were, until recently, quite vague. Throughout all stages of human development the word 'universe' was present in the thoughts and images as something unimaginable eternal and infinite. And when the man had a two-dimensional consciousness, and three-dimensional, all told him that the universe is something that defies even the most daring flight voobrazheniya.No flew century, space flooded with satellites and space stations.

NASA scientists spent a great scientific work on definition of the term 'universe' and what it represents, to date. The universe is finite and small size. Yes, our universe with all its galaxies and stars, with its black holes, dark and light matter, with the planets inhabited and uninhabited, is a creature of space, of course, the scale, but small. Only because of our very limited perception of (and this is only 0,5% of what we surrounds), we believe that it is infinite. Changing times, changing and reporting.

In ancient times it was believed that the earth is flat, stands on three elephants, or whales, and hangs in space. Further, Einstein put forward to mankind the idea of the closed world to himself. That is, if you fly in one direction, then in the end, arrive to the point of departure. The U.S. probe WMAP (Wilkinson Microwave Anisotropy Probe), working in orbit since 2001. to study the cosmic microwave background microwave radiation, conducted several studies. If the universe were infinite, then the range of these fluctuations would be restricted. But data collected by sensors with WMAP, have led astronomers into confusion. Computer simulation data confirmed that the scale of our universe is small. And the fact that our universe is still closed on itself, and is a 'mirror space', where all objects are reflected to form a lot of mirror images.