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Linear Algebra is a branch of mathematics that deals with the study of lines, planes, and subspaces. The subject is the core of pure and applied mathematics. Techniques of linear algebra are also common in subjects like engineering, natural science, computer science, analytic geometry, physics, economics, and computer animation. EssayCorp hires expert mathematicians who provide students with step by step explanation of solved problems in the linear algebra assignment help.
There are several problems that the students face with the linear algebra assignment. The major problem lies in the mathematical nature of the subject. Some of the problems are discussed below.
There are numerous applications of linear algebra, it is considered to be the gateway to true mathematics. Following are some of the implications of linear algebra as explained by our linear algebra assignment help experts.
These are just a few applications; linear algebra has an innumerable number of applications in games, genetics, geometry, graph theory, heat distribution, image compression, linear programming, Markov chains, networks, sociology, etc.
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Three particles A, B and C lie in that order in a straight smooth groove so that they can only move along the x-axis. Both A and C are of unit mass whilst B is of mass M. Particle B is joined to the other two by identical linear springs of unit stiffness.
(a) If the three particles are displaced from equilibrium by distances x1, x2 and x3 show that the equations of motion are d2x1/dt2 = x2 - x1, M d2x2/dt2 = x3 - 2x2 + x1, d2x3/dt2 = x2 - x3.
(b) Prove that the frequencies of the three normal modes are given by ? = 0, 1 and ?2 = 1 + (2/M). [5 marks]
(c) Describe the motions of the particles corresponding to the normal modes.[4 marks]