Hp 49g Graphing Calculator Manual do Utilizador Página 138
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Representing a system as matrices
To solve a linear system, you represent the system in matrix form within
the numeric solver. In order to represent the system in matrix form, you
need to transpose the equations to a form where the independent
variables are to the left of the = sign, and the constant is on the right. For
example, consider the following set of equations:
2x-Sy + 1
3,r +2y -I
2
14
Before you attempt to solve this system, manipulate the equations to the
following form:
2x-Sy = -5
3a- + 2y = lb
These equations can be represented as a set of three matrices:
e a matrix that contains the variable coefficients
2 -8
3 2
a matrix that contains the constants
-5
15
® a matrix that contains the variables to solve for.
Wlren you solve this system, you specify the first two matrices and the
answers are returned in the third matrix.
Page 6-8
Solving equations
- USER’S GUIDE 3
- Contents 10
- The purpose of this manual 13
- Advanced Functions 14
- HP 49G on the World Wide Web 14
- Regulatory inFormation 14
- End“user terms and conditions 15
- Warranty 16
- Chapter 1 19
- 1.1; HP 49G key map 20
- Page 1-2 20
- The HP 49G’s keyboards 21
- 0 (COS) 22
- (ALPHA) 0 (siÑ) 22
- What each key does 23
- Gr/ViSflil I ^ 24
- CESS G©Sl QES) (531 C58i 25
- ___________________ 26
- Page 1-8 Keys 26
- ARHH QAPiX DEf 27
- Page 1-9 27
- Key conventions 28
- Basic operation 29
- Turning on and turning oFF 30
- DeFauU screen 31
- U'Kk 32
- Page 2-5 33
- (£1) is directly below edit 34
- Using the command line 35
- Multi-line entries 36
- Entering numbers 36
- Mantissa-and-exponent entry 37
- Entering characters 38
- Entering special characters 39
- ® imtil it is 40
- Editing the command line 41
- Input Forms 42
- Extended data fields 43
- List fields 43
- Check Reids 44
- Input form help 44
- OK. This saves your 45
- Changing a mode 46
- Display modes 47
- BTOiBHgHBiaiBaHHiTi’HBmMi 48
- when the Calculator 49
- RPN mode 50
- Approximate mode 51
- Example 1: 52
- Example 2: 52
- Example 3: 52
- Example 4: 52
- Example 5: 53
- Time Management 54
- Appointment alarms 55
- Press (d (TIME) 56
- Control alarms 57
- 0 (TiME) 58
- Chapter 3 59
- Creating a new expression 60
- Editing an expression 61
- Using Equation Writer 62
- Operating modes 63
- CURS to start Cursor mode 64
- (5x + 3) 65
- 5x expression 65
- Examples 66
- 0ffi2®5®5©(S®0E®®@ 67
- Chapter 4 69
- Introduction 70
- Basic plotting 71
- Page 4-4 72
- CHOOS and select the type of 73
- Plot types 74
- 0 (ME) and 0 dS respectively 74
- Parametric plots 76
- Plot window parameters 77
- Polar plots 78
- Conic plots 81
- Differential equation plots 83
- The type of plot 84
- Truth plots 85
- Slopefield plots 87
- Wireframe plots 88
- Pseudo-Contour plots 89
- Y-Slice plots 91
- Y-Slice) 92
- Parametric surface plots 93
- X coordinate of the eyepoint 94
- Fast 3-D plots 95
- Statistical plots 96
- Scatter plots 97
- Bar charts 99
- Plot setup parameters 100
- Histograms 101
- Page 4-34 102
- Plotting graphs 102
- Cursor movement 103
- To zoom in 104
- To zoom out 104
- Zoom options 104
- Analyzing Functions 105
- (FD to {£6) 106
- SLOPE on the FUNCTIONS menu 107
- AREA on the FUNCTIONS menu 107
- 0 (Ible) to select TABLE 108
- PLoHing graphs 109
- Page 4-41 109
- Page 4-42 Plotting graphs 110
- Chapter 5 111
- Working with expressions 111
- Configuring the CAS 112
- Numeric option 113
- Approx option 113
- Other options 114
- • Rigorous 115
- • Simp Non-Rational 115
- From the command line 117
- 'Xt 118
- >4_________________ 118
- Working in Equation Writer 119
- Performing substitutions 120
- Expanding and Factorizing 121
- X, use the following 122
- Factorizing expressions 123
- :expln(sini:x» 124
- EXPC i 'X) 124
- Page 5-15 125
- Page 5-16 126
- Calculus commands 127
- 0 (05) DERiv. & integ 127
- 0 (05) deriv. & integ 127
- Page 5-18 128
- Setting step-by-step mode 129
- Step-by-step example 130
- Chapter 6 131
- Solving equations 131
- About solving equations 132
- Solving an equation 133
- . If the numeric solver 134
- Equation 135
- EDIT. Matrix Writer 136
- SOLVE. The HP 49G solves the 136
- Wsymb(ENt!r) 136
- Solving linear systems 137
- Page 6-8 138
- [[-5.] C3.] C4.]] 139
- E: CC-5. ] C3. ] C4. ]] 139
- . Tlie default 140
- Using the financial solver 141
- HdnEV^e^ 142
- . The financial solver 143
- Chapter 7 145
- Storing objects 145
- Variables 146
- Using @) 147
- Using File Manager 147
- User-defined functions 148
- Directories 149
- OK or (EifflR) 150
- Method 1 151
- (¡ID © HALT 152
- Page 7-9 153
- Memory Management 154
- Using port memory 155
- Chapter 8 157
- Creating vectors 158
- Vector mathematics 159
- Absolute magnitude 160
- Dot product 161
- Cross product 161
- PROBABILITY menu 162
- OK or (ENTER) 162
- Arrays and matrices 163
- 0 0 to enter row delimiters 164
- 0 O to separate each element 164
- Editing an array 165
- Matrix arithmetic 166
- Multiplying two matrices 167
- 4. Press (ENTER) 168
- Chapter 9 169
- Using statistics 169
- Descriptive statistics 170
- Single-variable statistics 171
- CHOOS. A choose list 173
- PRED. The computed value 174
- Inferential statistics 175
- Using inFerential statistics 176
- Ea$QBi!SE!33iEaBEamBH3 177
- Two-Sample Z-Test 178
- Menu name: Z-Test: 1 P 179
- Menu name: Z-Test: P1-P2 180
- 2 • I ^7^2 180
- Menu name: T-Test: 1 181
- One-Sample T-Test 181
- Menu name: T-Test: 182
- Confidence intervals 183
- One-Sample Z-Interval 183
- Two-Sample Z-Interval 183
- One-Proportion Z-Interval 184
- Two-Proportion Z-Interval 184
- One-Sample T-!nterval 185
- Two-Sample T-Interval 186
- Chapter 10 187
- Introduction to programming 187
- Getting started 188
- -»A B ' 189
- 0Q, and press 190
- Algebraic and RPN modes 191
- Handling data 192
- How a program flows 192
- Nested procedures 193
- Working with variables 194
- 0©(I®C©®0®(I®A0(lPi)B 196
- (0 (CHARS)) or press 198
- Looping and branching 199
- Trapping errors 201
- {}►marks ; 202
- Appendix A 203
- Page A-2 204
- ([I/O]) to display the I/O 205
- Appendix B 207
- Page B-2 208
- Error messages 208
- Page B-3 209
- Page B-4 Error messages 210
- Appendix C 211
- Page C-2 212
- Page C-3 213
- Page C-4 214
- Page C-5 215
- Page C-6 216
- TroubLehooting 217
- Calculator will not turn on 218
- When to replace the batteries 219
- Replacing the batteries 219
- Calculator is not responding 220
- (fD and (fD 221
- Error on start up 222
- Solutions: 223
- In summary: 224
- Appendix E 225
- Working in RPN mode 225
- Using the stack 226
- PerForming RPN calculations 227
- Example stack calculations 228
- Multi-command calculations 229
- + 3a- + 7 230
- Function 231
- Command Function (Continued) 232
- See bar plots 233
- See computer algebra system 234
- See input fonns 234
- See also envi 238
- See appointment 238
- See RPN 238
- Also see history 239
- See error messages 240
- Service and Support 241
- HEWLETT« 242
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