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Linear Algebra Using MATLAB - UH

Linear Algebra UsingMATLABMATH 53311 May 12, 20101 Selected material from the textLinear Algebra and Differential equations Using MATLABbyMartin Golubitsky and Michael DellnitzContents1 Vectors and Matrices .. MATLAB .. Special Kinds of Matrices .. The Geometry of Vector Operations .. 112 Solving Linear Systems of Linear equations and Matrices .. The Geometry of Low-Dimensional Solutions .. Gaussian Elimination .. Reduction to Echelon Form .. Linear equations with Special Coefficients .. *Uniqueness of Reduced Echelon Form .. 643 Matrices and Matrix Multiplication of Vectors .. Matrix Mappings .. Linearity .. The Principle of Superposition .. Composition and Multiplication of Matrices.

The subjects of linear algebra and differential equations involve manipulating vector equa-tions. In this chapter we introduce our notation for vectors and matrices — and we intro-duce MATLAB, a computer program that is designed to perform vector manipulations in a natural way. We begin, in Section 1.1, by defining vectors and matrices, and ...

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