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2 Matrices and Arra ys
More About Matrices and Arrays
In this section.. .
“Linear Algebra” on page 2-20
“Arrays” on page 2-24
“Multivariate D ata” on page 2-26
“Scalar Expansion” on page 2-27
“Logical Subscripting” on page 2-27
“The find Function” on page 2-28
Linear Algebra
Informally, the terms matrix and array are often used interchangeably. More
precisely, a matrix is a two-dimensional numeric a rray that represents a
linear transformation. The mathematical operations defined on matrices are
the subject of linear algebra.
Dürer’s magic square
A=[16 3 2 13
51011 8
96712
41514 1]
provides se veral examp les that give a tas te of MATLAB matri x operations.
You h ave already seen the matrix transpose,
A'. Adding a matrix to its
transpose produces a sym m etric matrix:
A+A'
ans =
32 8 11 17
8201723
11 17 14 26
17 23 26 2
2-20
- Getting Started withMATLAB 1
- 508-647-7000 (Phone) 2
- 508-647-7001 (Fax) 2
- The MathWorks, I nc 2
- 3 Apple Hill Drive 2
- Natick, MA 01760-2098 2
- Revision History 3
- External Interfaces 10
- .................. 8-4 11
- Contents 12
- Introduction 13
- What Is MATLAB? 14
- The M ATLAB System 15
- 1 Introduction 16
- MATLAB Documentation 17
- Star ting and Quitting MATLAB 19
- Confirm Quitting 21
- Matrices and Arrays 23
- Matrices a nd Magic Squares 24
- Matrices and Mag ic Squares 25
- ; ,toindicatetheendofeachrow 26
- 2 Matrices and Arra ys 28
- Subscripts 29
- The magic Function 31
- Expressions 33
- Functions 35
- Working with Matrices 38
- The load Function 39
- Deleting Rows an 41
- Scalar Expansio 49
- Logical Subscrip 49
- Suppressing Output 53
- Graphics 57
- Over view of MATLAB Plotting 58
- Exploring Data 59
- Editing the Graph Components 59
- Annotating Graphs 59
- CLF in the 60
- Graph Components 61
- Overview of MATLAB Plotting 63
- Enable plotting tools from 65
- Plot edit mode enabled 73
- Editing Plots 75
- + to the left o f 77
- Set line to no line 83
- Set Marker to O 83
- Set Marker fill color to red 83
- Set Marker size to 4.0 83
- 1. Select axes 85
- Select both sets of data 87
- Select Stem as the Plot Type 87
- 3 Click th 89
- XData and YData are 91
- 3 Graphics 100
- Set the size at which to 103
- Fonts in the Export 103
- 8 in the text box 103
- Creating a Plot 105
- Figure Windows 111
- [X,Y,Z] = cylinder(4*cos(t)); 113
- Adding Axis Labels and Titles 115
- Saving Figures 117
- AboutMeshandSurfacePlots 119
- Making Surfaces Transparent 121
- Manipulating the Surface 123
- Plotting Image Data 125
- Printing Graphics 127
- Printing Grap hics 129
- Handle Graphics 130
- Graphics Objects 131
- Setting Object Properties 133
- Programming 139
- Flow Control 140
- 4 Programming 142
- Error Control – try, catch 145
- Other Data Structures 147
- Cell Arrays 149
- Characters and Text 151
- Scripts and Functions 158
- Private Functions 163
- Nested Functions 163
- Function Functions 167
- Vectorization 169
- Data Analysis 171
- Preprocessing Data 173
- 5 Data Analysis 174
- Summarizing Data 180
- Measures of Scale 181
- Shape of a Distr ibution 181
- Visualizing Data 184
- Modeling Data 189
- Creating Graphical User 195
- Interfaces 195
- What Is GUIDE? 196
- Laying Out a GUI 197
- Component 198
- Layout Area 198
- Programming a GUI 200
- Desktop Tools and 201
- Development Environment 201
- Desktop Overview 202
- Desktop Over view 203
- Arranging the Desktop 204
- Start Button 204
- Command Window 206
- Command History 207
- Help Browser 208
- "word1 word2" 210
- Other Forms of Help 211
- Ty pographical Conventions 212
- ...) ellipsis denotes 213
- [c, ia, ib] = 213
- Running Files 214
- Current Directory 214
- Search Path 215
- Workspace Browser 217
- Array Editor 218
- Editor/Debugger 220
- Directory reports 223
- Profiler 226
- Programming Interfaces 230
- Call Java from MATLAB 231
- Import and Export Data 231
- 8 External Interfaces 232
- Web Services 233
- Serial Port Interface 234
- Index: operator 2-8 235
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