solving a system of linear equations in excel 2007

... – a a a a12 21 33 44 – a a a a 12 23 34 41 – a12.a a a24 31 43 + a12.a a a24 33 41 + a12.a a a21 34 43 + a a a a12 23 31 44 + a13.a a a21 32 44 + a13.a a a22 34 41 + a a a13 24 31.a42 – a a a13 ... a a a 31 32 34 a a a 31 32 33 a a a 41 42 44 a a a 41 42 43 = a11.a a22 33.a + a a a44 11 23 34.a + a a42 11 24.a a a32 43– 11.a24.a a a33 42– 11.a22.a a34 43 – a11.a a23 32.a44 ... = a det a a11 22 23 – a12.det a21 a23 + a13 det a21 a22 a a32 33 a a 31 33 a31 a32 = a11.a22.a33 a– 11.a23.a32 a– 12.a21.a33 + a a a + a a12 23 31 13 21.a a32– 13.a a 22 31 = a11.a

Ngày tải lên: 19/04/2022, 23:03

... + a a a13 24 31.a42 – a a a13 24 32.a – a a41 13 21.a a – 34 42 a a a a13 22 31 44 – a14.a a a21 32 43 – a14.a a a22 33 41 – a14.a a a23 31 42 + a14.a a a23 32 41 + a14.a a a21 33 42 + a a a a14 ... 11.a22.a a34 43 – a11.a a23 32.a44 – a a a a12 21 33 44 – a a a a 12 23 34 41 – a12.a a a24 31 43 + a12.a a a24 33 41 + a12.a a a21 34 43 + a a a a12 23 31 44 + a13.a a a21 32 44 + a13.a a a22 ... det(A)= 1.4.(-5/2).2= -20 3.System of linear equations: A Theory: • In mathematics, a system of linear equations (or linear system) is a collection of linear equations involving the same set of

Ngày tải lên: 23/04/2022, 07:17

... equilibrium of this system which is the graph of an increasing curve. We show that the stable manifold of this system separates the positive quadrant of initial conditions into basins of attraction of ... applies. In fact we believe that in the case of a saddle point the local behavior implies the global behavior for competitive linear fractional systems. As a biological model, system (1.1) may represent ... if E is an attractor and ᏷ is a subset of the basin of attraction of E.IfF is differentiable at afixedpointE, and if the Jacobian J F (E) has one eigenvalue with modulus less than one and a second

Ngày tải lên: 22/06/2014, 22:20

... has a solution when G is a tree It can beobtained by picking an arbitrary xi ∈ {0, 1} at a root i and determining the other xjrecursively along the paths leading away from the root There is, of ... for instance Bollob´as et al [6], and references therein It is a problem ofexistence of a truth-satisfying assignment for the variables in the conjunction of m randomdisjunctive clauses of a form ... solvability probability is bounded away from both 0 and 1 iff m + O(n2/3) 5 A natural extension of the system (1.0.1) is a system of k-linear equations The paper is organized as follows In the section

Ngày tải lên: 08/08/2014, 12:22

... purpose of informing, motivating, persuading, educating or entertaining the listeners” (Speechmastery,2011) Public speaking involves many aspects: voice, body language,attitude, appearance and content ... survey are in interpreting trainingcourse at Vinh University They all have experience in public speaking, especially, publicspeaking in interpreting Trang 24In sum, using questionnaire to make this ... we can see that all of students at Vinh University have a good preparation of appearance before being a public speaker Trang 32As can be seen clearly from the table, 100% of students care about

Ngày tải lên: 25/12/2013, 20:21

... Nanjing 210046, PR China Full list of author information is available at the end of the article Abstract In this paper, we consider the system of nonlinear viscoelastic equations ⎧ ⎪ ⎪ u tt − ... displacements of waves This problem arises in the theory of vis-coelastic and describes the interaction of two scalar fields, we can refer to Cavalcanti et al [1], Messaoudi and Tatar [2], Renardy et al ... optimal constant in (3.3) The following lemma will play an essential role in the proof of our main result, and it is similar to a lemma used first by Vitillaro [27], to study a class of a single

Ngày tải lên: 21/06/2014, 00:20

... ˘adariu 1 and Viorel Radu 2 1 Departamentul de Matematic˘a, Universitatea Politehnica din Timis¸oara, Piat¸a Victoriei no 2, 300006 Timis¸oara, Romania 2 Facultatea de Matematic˘a S¸i Informatic˘a, ... gave an affirmative answer to the question of Ulam for Cauchy equa-tion in Banach spaces Let E1and E2be Banach spaces and let f : E1→ E2be such a mapping that Trang 2for all x, y ∈ E1and a δ > ... equations, the linear functional equations, and a generalization of functional equation for the square root spiral The stability results have been obtained by a fixed point method This method introduces

Ngày tải lên: 22/06/2014, 06:20

... version of one introduced in [3], vides a kind of the strict inequality inX. pro-Definition 2.5 Let H be a linear manifold in the space X Two elements f1andf2ofX are In the case where the linear manifoldH ... exist a linear foldΠ⊆ X and a linear operator A : X → X such that the condition Then, for an arbitrary real λ satisfying estimate ( 3.4 ) and an arbitrary element b from X, all the solutions of ... nonzero, and therefore, again by the linearity ofH, the last relation implies that Trang 9Relations (2.12), (3.7), property (2.9) of the linear manifoldH, and assertions (ii) and(iii) ofLemma 2.12then

Ngày tải lên: 22/06/2014, 18:20

... The crucialobservation is the direct generalisation of Lemma 2(b) in [1] : because of its importanceand because an apparently awkward technicality arises in dealing with one of the cases(Case I ... located in Ac via the pairing arising from (7) Since it suffices at this point tolocate just one extra element in Ac we may for the remainder of this argument assumethat b ≥ 3 and that 1, 2 ∈ A ... intervals I1 and I2 are disjoint Each interval certainly contains at least threeelements by (12) It is then easy to see that the I2-pairing will certainly locate at leastone more element in Ac unless,

Ngày tải lên: 07/08/2014, 15:23

... 7 and up to a constant multiplication, a translation and a 10 dilation,u takes the form 11 u(x) = 1 + |x − x|2
1 12 Note that we had already dropped the factor 1/8π in (1.4) in the original ... have q = 7 in order for (1.4) to admit solutions In addition, we further know that 28 all solutions corresponding to the case q = 7 are radial symmetric and asymptotically lin-29 ear at infinity ... for related works concerning the 32 equivalence of integral and differential equations 33 In the literature, to classify solutions of some partial differential equations, people usu-34 ally use

Ngày tải lên: 14/10/2015, 07:54

... Trang 1A CLASS OF LINEAR GENERALIZED EQUATIONS∗Nguyen Thanh Qui† and Nguyen Dong Yen‡ June 24, 2012 Abstract Solution stability of a class of linear generalized equations in finite dimensionalEuclidean ... subproblems in nonlinearprogramming can be regarded as linear generalized equations, these conditions lead tonew results on stability of the parametric trust-region subproblems Key words Linear generalized ... basic single-valuedoperator of the generalized equation is affine and the accompanying set-valued map isthe normal cone operator of a fixed closed convex set called the constraint set, one has

Ngày tải lên: 04/09/2016, 09:08

... 260:58–66. 12 Miao C, Zhu Y Global smooth solutions for a non-linear system of wave equations Nonlinear Analysis 2007; 67:3136–3151. 13 Santos ML Decay rates for solutions of a system of wave equations ... global smooth solutions of a Cauchy problem for the nonlinear system of wave equations with Hamilton structure Wu and Li [15] considered a system of nonlinear wave equations with initial and ... blow-up, and exponential decay estimates for a system of nonlinear wave equations with nonlinear boundary conditions Communicated by M L SantosThis paper is devoted to the study of a system of nonlinear

Ngày tải lên: 18/12/2017, 08:41

... observations and categorisation, emic and etic approaches, and work A Trang 9survey of urban agriculture in Kageshwori-Manohara low-lying area was undertaken using a checklist-questionnaire and to gain information ... (FSR) was advanced as a way to increase the use of indigenous knowledge of farming to make new technologies more adaptable and appropriate to farming conditions Farming System Research has enabled ... this area is situated in the alluvial plain, which has some undulating surfaces In the study area, farmers dig up a clayey sediment layer popularly known as Kalimati (Black soil) and use it as

Ngày tải lên: 09/01/2020, 15:24

... DIFFERENCE EQUATIONS CLAUDEMIR ANIZ AND MUSTAPHA RACHIDI Instituto de Matem´atica INMA, UFMS, Av Costa e Silva Cidade Universitaria, Campo Grande - MS - Brazil ABSTRACT In this study we display a process ... Trang 1International Journal of Advanced Engineering Research and Science(IJAERS) Vol-9, Issue-6; Jun, 2022INVERSE OF THE GENERALIZED VANDERMONDE MATRIX VIA THE FUNDAMENTAL SYSTEM OF LINEAR ... for inverting the generalized Van-dermonde matrix, using the analytic properties of a fundamental system related to a specific linear difference equations We establish two approaches allowing

Ngày tải lên: 11/10/2022, 16:50

... and Training, localities developed teaching plans to ensure the completion of the Elementary Education Program; enhancing suitable forms of teaching according to the guidance of the Ministry of ... words accurately, and teaching them to use Vietnamese words appropriately in everyday communication according to context and purpose Aligning with the educational innovation, when teaching Word and ... the National University Press in Hanoi, it is asserted that "Words and sentences play a particularly important role in the language system The role of words and sentences in the language system

Ngày tải lên: 14/11/2023, 09:48

... PAs in English and Vietnamese? 2 What are the pragmatic features of PAs in English and Vietnamese? 3 What are the similarities and differences in the syntactic and pragmatic features of PAs in ... to the analysis of the way of using PAs in English and Vietnamese These linguistic features will be examined and categorized syntactically and pragmatically However, semantic, cultural and prosodic ... Conversation Principles Grice [16] suggested that conversation is based on a shared principle of cooperation, which was fleshed out in a series of maxims including maxims of quantity, maxims of quality,

Ngày tải lên: 26/11/2013, 13:22

... sequences in both languages can appear in many structures For instance, a word, a sentence and more than one sentence In addition, PIs as a sentence have many forms such as Declaratives, Interrogatives, ... pre-invitations, pre-requests, and pre-announcements He states that the concept of face saving may be helpful in understanding how participants in an interaction inevitably understand more than is said ... University of Danang Trang 2_3- CHAPTER 1 INTRODUCTION 1.1 RATIONALE Communication is the prerequisite to maintain social relationships, language is the most effective and practical means of communication

Ngày tải lên: 26/11/2013, 13:22

... Marking Stance was defined within three major domains: Epistemic stance, Attitudinal stance, and Style stance. In the reality of the increasing needs for communication, ADs are becoming one of ... about what was said in a sentence. Also, in the master thesis “Boosting and Hedging in Academic writing” of Tran Thi Phuong Thao mentioned syntactic, semantic and pragmatic features of hedging and ... ADs. A contrastive analysis of ADs in different kinds of English and Vietnamese discourse was conducted so as to draw out some qualitative information in terms of syntactic, semantic and pragmatic

Ngày tải lên: 26/11/2013, 13:26

... thousands of company names worldwide In the process of approaching various kinds of company names learners of English find that the syntactic and morphological features of company names are really ... and in Vietnamese” focuses on linguistics and translational aspects of common names of international and national organizations in English and in Vietnamese Besides, Nguyen Thi Thao (2008) in ... cultural identity in general and American culture in particular In addition, Tomscha (1992) mentions American customs and traditions including American traditional symbols such as the Statue of

Ngày tải lên: 26/11/2013, 13:26

... Conversational implicature is an interesting thing where it is not a matter of a sentence but instead of an utterance’s meaning Conversational implicature is one of the most important ideas in pragmatics ... conversational implicature and its reasons, Cao Xuan Hao [1] raised a question why people avoid saying explicitly or indicating literal meaning instead of saying implicitly, which sometimes challenges ... such as “a garden” and “a child” as in (4) These phrases are typically interpreted according to the generalized conversational implicature that: an X +> not speaker’s X 1 I was sitting in a garden

Ngày tải lên: 26/11/2013, 13:28