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This chapter includes a short introduction to linear algebra. It discusses some of the essential approaches to solving systems of linear equations, as well as various matrix operations (matrix inverse, determinant, sum, subtraction, division, multiplication, power, exponential, elementwise and array-wise operations, and so forth). It covers eigen-value problems and matrix factorizations/decompositions, such as Cholesky, Schur, LU, QR, and Singular Value Decomposition. It also includes built-in functions and scripts in MATLAB and Simulink models. Moreover, the chapter explains standard matrix generator functions of MATLAB, creating vector spaces, solving polynomials, and logical indexing of matrices, via examples in MATLAB and Simulink.
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- Linear Algebra
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- Chapter 7