What do you know about solving systems of linear equations? This type of tasks is often offered to students in linear algebra homework. In one of our videos we discussed that a system of linear equations can be solved using Cramer’s rule which involves finding determinants and it might get tricky when dealing with systems of 4, 5 or more equations. Luckily, there is another method which allows to avoid massive calculations. And it is called Gaussian elimination (or row reduction). (more…)
Nearly two-thirds of all people experience deja vu at least once in a lifetime. Déjà vu is an apparent similarity of the current situation to something in the indefinite past. But despite its prevalence, surprisingly little data is gathered about the physiological nature of the déjà vu phenomenon. It’s complicated to gather information on deja vu because it’s hard to recall the details of a short experience that took place perhaps months and years ago. In addition, often a sense of deja vu dominates the other senses, reality seemingly doubles.
Déjà vu comes from French and literally means “already seen”. Earlier psychologists interpreted the phenomenon of deja vu as a disease, an illusion or hallucination of memory. (more…)
Inverse matrices are widely applied. For example, suppose you’re asked to perform matrix division in your linear algebra homework. As we said in one of previos articles about basic matrix operations, matrix division is in fact multiplication by an inverse matrix. If you are going to solve a system of equations in matrix representation you’ll also need to find inverse matrix. So let’s talk about inverse matrices and how to find them. (more…)
If you’re studying computer science you’ve probably already have completed a lot of programming homework, including Java, or it’s just around the corner. If you don’t, well, sure you’re also using Java codes in everyday life, not even having the faintest clue about that. Ok, let us start with some history.
Java was first introduced in 1995 year by the “Sun Microsystems” company. Java programming language is considered to be a c++ “child”. Its main advantage is that it does not “bind” itself to any operating system.
Java source code is translated to special byte code, translatable by a virtual machine on any operating system. Such languages are called cross-platform languages. Java is considered to be most popular because of it’s wide implementable and cross-platform supported. (more…)
You could notice that many NASA photographs of spacecraft often feature items wrapped in golden foil. Obviously, it is used for insulation. But why NASA uses gold? And how does it work? As it is known, in space there is solar radiation, which affects the Earth’s atmosphere and is the main source of energy for all the processes in nature. (more…)
Do you know what is a determinant? A determinant of a matrix is a special number which is defined only for square matrix. It can be calculated in several ways, today we’ll introduce one of them which is called Laplace expansion.
Why do we need determinants? Basically, the determinant can tell us a lot of useful things about matrix, it’s helpful when finding the inverse matrix and solving systems of linear equations (recall Cramer’s rule) and so on. (more…)
In the universities, it’s common practice to give a lot of homework for the summer. No matter how difficult the study year was, tired students get even more assignments to do in summer. Obviously, not everyone is able to handle it. Many students think, “it would be great if I could find someone to do my homework for me”. Here’s one of our customers feedback sharing his story of successful submission of summer homework. (more…)
