Introduction to eigen values and eigen vectors How to Find the Eigen Values and Eigen Vectors? explain with examples Eigen Values and Eigen Vectors has a great significance in many engineering problems specially in case of linear systems where we Read More …
Category: Linear Algebra
Use of MATLAB Software for Linear Algebra
Introduction Use of MATLAB Software for Linear Algebra. With a focus on complex arithmetic problem and the unambiguous concept of line algebra, this paper discusses the introduction of MATLAB software in algebra teaching and describes the practical steps and results Read More …
Gauss Elimination Vs Gauss Jordan Elimination Methods for Solving System of Linear Equations
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 …
The fast Fourier transform method and ill-conditioned matrices
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 …
What are the Applications of Matrices in Cryptography?
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 …
Power Method and Inverse Power Method for Eigen Values and Eigen Vectors
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 …
Define Matrix Theory and Different Types of Matrixes
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.
What are the Orthogonal and Orthonormal vectors?
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 …
Define Cryptic Mining for Automatic Variable Key-based Cryptosystem
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.
Gram Schmidt Orth-normalization Based Projection Depth
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.