Real Life Application Mathematics & Economics Essay

Real-Life Application: Eigen Values and Eigen Functions
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Real-Life Application: Eigen Values and Eigen Functions
In mathematics, eigenfunction of a linear operator A refers to any non-zero vector in the domain of A. Whenever A acts on this function, it is scaled by a scalar value known as an eigenvalue. Eigenvalues and eigenfunctions ease the understanding of linear transformations. There are numerous disciplines and areas where eigenvalues can be applied to solve real-life problems.
Eigenvalues are utilized in the description of natural events, including the discovery and explanation of better designs for the future. Mechanical engineering is a discipline that applies eigenvalues and eigenfunctions to explain various problems. Whenever stress is applied on an object, the deformation can be divided into principle direction, which is a basis for explaining the percentage deformation for each eige...