Nibcode Solutions Blog

Since humans invented the written language, they have tried to share information secretly. This is basically, the objective of Cryptography, the study of the techniques to protect sensitive communications by means of data encryption and its posterior decryption. Encryption is the transformation of data into some unreadable form, so, even those who can see the encrypted data cannot understand the hidden information. Decryption is the reverse of encryption; it is the transformation of encrypted data back into some intelligible form.

Although there are different methods to encrypt and decrypt messages, we'll focus on a linear algebra based cipher, the Hill cipher, which uses a matrix as a cipher to encode a message, and it's extremely difficult to break when a large matrix is used. The receiver of the message decodes it using the inverse of the matrix.

Linear Algebra is not what it seems at first thought. Behind all the matrices, polynomials, vectors and spaces, there is a fascinating subject which tools can help you to solve many practical problems. Linear Algebra is a topic connected to different fields inside and outside mathematics like functional analysis, differential equations, engineering, graph theory, statistics, linear programming, and computer graphics.

There are hundreds of books with the aim of teaching Linear Algebra, your choice will depend, basically, on the kind of course you are taking, and on the approach, prose and rigor of the text you prefer to study. Here I propose a brief list of books, based on my personal experience, from famous books I have read or consulted.

Mathematics is just like anything else. If you want to get good at math, you have work hard and practice continually. Nevertheless, here we give you some practical tips to best learn math.

1. Find a quiet place to study and remove distractions.

Try to find a quiet spot in your home or in the Library to study or to get your schoolwork done. You will notice that you get your work done much more quickly because you'll be able to focus and absorb more. If you like listening to music while studying, we think that it is much more effective if you don't. There are other distractions you must avoid, like being on the internet, talking to your friends or watching TV. In order to learn, you need to ignore everything else while you are studying. Learning takes not only effort and time, but also intense concentration.

Many organizations use psychometric tests when making recruitment and promotion decisions. Some of these tests measure your ability to reason, problem solve, decide and learn, which psychologists define as General intelligence or G factor.

Although some early studies revealed that you didn’t have much control over your intelligence, because it was genetic, the real fact is that you can train your brain and increase your intelligence, and the more you train, the more you gain. It is very useful to train doing problems that don't resemble the previous ones you have done, but doing problems similar to the test questions as well, because you will avoid wasting time understanding what you have to do.

The knowledge of numbers and basic operations is the beginning of the exciting and practical world of mathematics. Without understanding these simple operations will be impossible deepening this subject.

Basic Math Decoded was created to provide assistance to the children, helping them do their homework and encourage their interest in mathematics. We are so pleased to the wide acceptance of this product by children, parents and even some teachers.