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2020•Journal of Physics Conference SeriesOpen access

Study properties of Eigenvalues, Eigenvectors and Eigenspace of matrices by using MatLab

Muntaha Khudair Abbas

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Abstract

Abstract The aim of this paper is to study the properties of eigenvalues with types (real, Repeated, complex) of matrices (2x2), (3x3), (4x4), eigenvectors and eigenspace of matrices by using Matlab. It also investigates the left and right eigenvectors, characteristic equation, existence and multiplicity of eigenvalues, gives some examples about the computation of eigenvalues, eigenvectors, and solves the Dynamic Systems of First Order Linear Differential Equations of (2 dim and 3 dim) as well as the Numerical solution to Dynamic systems by using program Matlab.

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What this paper is about

Abstract The aim of this paper is to study the properties of eigenvalues with types (real, Repeated, complex) of matrices (2x2), (3x3), (4x4), eigenvectors and eigenspace of matrices by using Matlab. It also investigates the left and right eigenvectors, characteristic equation, existence and multiplicity of eigenvalues, gives some examples about the computation of eigenvalues, eigenvectors, and solves the Dynamic Systems of First Order Linear Differential Equations of (2 dim and 3 dim) as well as the Numerical solution to Dynamic systems by using program Matlab.

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Available abstract

Abstract The aim of this paper is to study the properties of eigenvalues with types (real, Repeated, complex) of matrices (2x2), (3x3), (4x4), eigenvectors and eigenspace of matrices by using Matlab. It also investigates the left and right eigenvectors, characteristic equation, existence and multiplicity of eigenvalues, gives some examples about the computation of eigenvalues, eigenvectors, and solves the Dynamic Systems of First Order Linear Differential Equations of (2 dim and 3 dim) as well as the Numerical solution to Dynamic systems by using program Matlab.

Key concepts: Eigenvalues and eigenvectors, MATLAB, Eigenvalues and eigenvectors of the second derivative, Matrix differential equation, Modal matrix, Eigenvalue perturbation, Defective matrix, Mathematics

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