Elementary transformation of matrix is an important method of studying matrix, and it is the core of application in linear algebra. This paper introduces some concepts and properties associated with the matrix, on the basis of matrix rank, the basis for judgment matrix is invertible, after inverse...
Inthecourseofstudyinglinearalgebra,Ifindthatthe elementarytransformationofmatrixisveryextensiveandruns throughthewholechapter.Itisthekeytosolvetheproblem inlinearalgebra.Linearequationsisthebeginningofthe elementarytransformationmatrix,thematrixeffectcanalso
In this paper, a novel application of the LR-Fuzzy linear system is presented on forces acting on the blocks based on Newton's second law of motion. The definition of fuzzy forces acting on the blocks is proposed. As the tension is not obtainable or mysterious in some real-life problems,...
2], causing the neutrality of the ecological footprint to be among the priorities of organizations, cities, regions and governments [3]. More than two-thirds of the world's population will live in cities by 2050 [4,5]. Examining the factors influencing CO2emissions is crucial to...
Real-Life Examples of Integers: Positive & Negative Numbers in Real Life Addition: What Does a Negative and a Positive Equal? Subtraction: Positive and Negative Numbers Lesson Summary FAQs Activities What are the rules for positive and negative numbers? Positive and negative numbers have values ...
The IAS exam is conducted to test the knowledge of candidates in every field possible. The Civil Service exam tests candidates in every way possible based on various parameters. So to qualify the CSE exam one must have the knowledge and a basic understanding of every field. The final selection...
This operation is a Dense Linear Algebra (DLA) routine widely used in science and engineering. In its blocked versions, the overall operation is broken down into a number of BLAS (Basic Linear Algebra Subprograms) kernels or tasks (general matrix–matrix multiplications, triangular system solvers ...
The application of artificial intelligence (AI) in STEM education (AI-STEM), as an emerging field, is confronted with a challenge of integrating diverse AI techniques and complex educational elements to meet instructional and learning needs. To gain a co
Such limitation has been not long ago surpassed in [70]. In this work we decide to use a black-box coupling strategy based on QN algorithms. Despite QN methods can be more computationally expensive than JFNK approaches, as they involve a rather large number of linear algebra operations, they...
Due to the real-life complexity of the social and economic environment, various indeterminate factors should be taken into account. These indeterminate factors are described by random variables in probability theory. For example, Patriksson and Wynter (1999) proposed stochastic bilevel programming which...