《MATLAB線(xiàn)性代數(shù)簡(jiǎn)明教程（Linear Algebra Using MATLAB）》共分為8章，主要內(nèi)容為：第1章介紹了MATLAB軟件的桌面和MATLAB編程基礎(chǔ)，第2章～第7章分別介紹了線(xiàn)性代數(shù)的各種運(yùn)算，包括矩陣運(yùn)算、求解線(xiàn)性方程、向量空間和子空間、投影、二乘逼近、行列式、特征值和特征向量、相似矩陣和奇異值分解等。此外，基于圖像處理與線(xiàn)性代數(shù)有著密切的關(guān)系，第8章簡(jiǎn)要介紹了線(xiàn)性代數(shù)在圖像處理中的應(yīng)用。本書(shū)結(jié)合線(xiàn)性代數(shù)理論與MATLAB語(yǔ)言介紹線(xiàn)性代數(shù)的應(yīng)用，列舉了豐富的MATLAB代碼實(shí)例，不僅可以加深對(duì)線(xiàn)性代數(shù)理論的理解，而且可以提高應(yīng)用線(xiàn)性代數(shù)知識(shí)解決實(shí)際問(wèn)題的能力。 《MATLAB線(xiàn)性代數(shù)簡(jiǎn)明教程（Linear Algebra Using MATLAB）》可作為高等院校理工科專(zhuān)業(yè)基礎(chǔ)課教材，也是運(yùn)用MATLAB語(yǔ)言與數(shù)學(xué)知識(shí)解決實(shí)際問(wèn)題的工具書(shū)，可供從事經(jīng)濟(jì)、物理、系統(tǒng)控制、信號(hào)處理、圖像處理等領(lǐng)域?qū)I(yè)技術(shù)人員參考。
Chapter 1Fundament for MATLAB1 1.1MATLAB Desktop1 1.2Vectors and Matrices7 1.3MATLAB Programming11
Chapter 2Introduction to Vectors and Matrices20 2.1Vectors and Linear Combination20 2.2Lengths and Dot Products28 2.3Matrices31
Chapter 3Solving Linear Equations40 3.1Vectors and Linear Equations40 3.2The Idea of Elimination45 3.3Elimination Using Matrices52 3.4Inverse Matrices58
Chapter 4Vector Spaces and Subspaces62 4.1Spaces of Vectors62 4.2The Nullspace of matrix64 4.3The Rank and Linear Dependence68
Chapter 6Determinants85 6.1 The Properties of Determinants85 6.2Permutations and Cofactors92 6.3Cramer’s Rule98
Chapter 7Eigenvalues and Eigenvectors102 7.1Introduction to Eigenvalues102 7.2Similar matrices and diagonalization of matrices105 7.3Singular Value Decomposition109
Chapter 8Linear Algebra in Image Processing112 8.1Digital Image Representation112 8.2Geometric Transformation using Matrix Operation114 8.3Image Restoration using Inverse Matrix117 8.4Image Fusion using Principal Component Analysis119 8.5Image Compression using Singular Value Decomposition120
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