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Introduction Gauss Elimination Vs Gauss Jordan Elimination Methods for Solving System of Linear Equations. In this article we examine the comparisons between the Gauss and Gauss-Jordon methods for fixing system of linear equations. It was very unusual by solving the Read More …
Introduction The fast Fourier transform method and ill-conditioned matrices. We have studied the problem of calculating numerical solutions of the linear algebra equation, a*x=b, where a denotes an N*N ill-conditioned coefficient matrix. It is known that Gaussian elimination methods linked Read More …
Introduction What are the Applications of Matrices in Cryptography? The science of encoding and decoding signals is known as cryptography. Cryptography is widely used in everyday life to protect tactful data such as affinity card numbers. This analysis investigates matrices Read More …
Introduction Power Method and Inverse Power Method for Eigen Values and Eigen Vectors. When looking for the greatest Eigen-pair, the power approach is usually used. The Inverse Power approach, on the other hand, is used to determine the smallest Eigen-pair. Read More …
Matrix theory is important in a variety of scientific researches. It have been used in different areas of Physics, including classical mechanics, optics and quantum mechanics. The study of matrices also been used to investigate few physical phenomena, such as motion of rigid bodies. Also, in computers graphics have been used for developing 3-D models and projecting them on onto 2-D surfaces.
Introduction In this article you will learn about the orthogonal and orthonormal vectors. Then you will see if the set of vectors are not orthogonal or orthonormal then how we can do that using the Gram Schmidt Procedure. Orthogonal vectors Read More …
The AVK method is useful for low-power secure device communication, which is a key element of the internet of things. This paper examines and analyses the state of symmetric cryptosystems as well as the evolution of automatic variable key cryptosystems. It explains the framework of the AVK model and how to extend it using a parameterized method.
If the numbers are generated according to a certain rule such that each consecutive number has a specific relation with its neighbors then they are said to form a sequence. You can consider sequences as list of ordered pairs. Sequences are represented by {an} where n is an integer. The value of n can be any integer or from natural number (1,2,3,….) which is called the domain of sequence. Each number in the sequence is called term.
GSO (Gram-Schmidt Orth normalization) is based on depth function of Euclidean vector which can be proposed to compute the projection depth. The performance of GSO can be studied to exact and approximate algorithms, bivariate data (data from two variables) can be used to associate estimation namely Stahel-Donoho (S-D) location and scatter estimation. The efficiency can be checked by computing average misclassification error in discriminant analysis under real and stimulating environment.
The first use of Linear Algebra can be seen in the polygonal structure of 3D characters and space in computer games and other 3D graphics applications. Polygons are used to make images look three-dimensional because of their geometric structures. Most of the time, this is done by dividing the object into smaller and smaller polygons where the given smaller parts are triangular. This makes the production of 3D objects part of the distribution process of polygons. A simple example of the use of polygons in 3D images in the form of object frame.