like we do with matrices in mathematics. It is also used in linear algebra which is one of the units of all the engineering courses. His work dealt mainly with the linear equations and had yet to bring in the idea of matrices or their notations. 4. Finite Element Analysis (FEA) and Finite Element Methods (FEM) - This subject uses many concepts of matrices for solving problems, just like CAD does. Other more broad topics that it is used for are to solve questions of energy in Quantum mechanics. In order for matrix algebra to develop, a proper notation-or method of describing the process was necessary.Also vital to this process was a definition of matrix multiplication and the facets involving it.“The introduction of matrix notation and the invention of the word matrix were motivated by attempts to develop the right algebraic language for studying determinants. Metallic particle dispersed in metallic, polymeric or ceramic matrices is an example of particulate composite. Importance of Linear algebra in Engineering Design algebra and stated that "matrices and their applications" should receive Fields and Isoclines Several applications of mathematics in engineering and physics are discussed. One of the important applications of inverse of a non-singular square matrix is in cryptography. More uses of matrix-like arrangements of numbers appears in which a method is given for solving simultaneous equations using a counting board that is mathematically identical to the modern matrix method of solution outlined by Carh Fridrich Gauss (1777-1855) also known as Gaussan Elimination. Only gradually did the idea of the matrix as … Direct citing (if referenced properly) Integration by Parts. It is important that we first determine what matrices is. His work dealing with Matrix multiplication culminated in his theorem, the Cayley-Hamilton Theorem. iv. Around 4000 years ago, the people of Babylon knew how to solve a simple2X2 system of linear equations with two unknowns. Electronics networks, airplane and spacecraft, and in chemical engineering all require perfectly calibrated computations which are obtained from matrix transformations. The history of matrices goes back to ancient times, but the term “matrix” was not applied to the concept till 1850. It can also mean more generally any place in which something is formed or produced. Branch ofengineering... 3. iii. This project work also goes further to apply matrices to solve a 3 x 3 linear system of equations using row reduction methods. It is based upon two … The origin of mathematical matrices lies with the study of systems of simultaneous linear equations. Engineers use matrices to model physical systems and perform accurate calculations needed for complex mechanics to work. 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