Hp 39g Graphing Calculator Manual do Utilizador Página 182
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Solving systems of linear equations
Example
Solve the following linear system:
2.r + 3y + 4z = 5
X + y - z = 7
4x-y + 2z = 1
1. Open the Matrix catalog and choose to create a vector in
the Ml variable.
|sHiFT|Mxrm EH2I
[T|[ìnW|
il!
M3
M4
M5
CREATE NEW,
Real matrix
Complex matrix
Complex oector
2. Create the vector of the constants in the linear system.
5 I ENTER I 7 I ENTE"^
ENTER
3. Return to the Matrix
catalog. The vector you
created is listed as Ml.
I SHIFflM/tri?«
^MATEIK CATALOG
Mi 3 REAL VECTDR .43KE I
M2 IKl REAL MATRIK
OKB
M3 IKl real MATRIK
OKE
M4 1K2 REAL MAIRI*
OKP
M5 EKE REAL MATRIK .04KB W
4. Select the M2 variable and create a new matrix.
0CI12!
Select Real matrix
m
Ml
m
M3
M4
M5
CREATE NE M ..
è
Real matrix
Real vector
Complex matrix
Complex vector
3a
ÌB
E ^
iroommaflaaBi Eiai
5. Create a new matrix and enter the equation coefficients.
2|enter13|ente^
41 enter!
11 enter 11 I enter!
fcT] 1 pENTE^ 4 Tenter!
|!2T|l(BTfE^2|ENTER!
ME
1 2 3
1 E 3
4
?
1
1
-1
3
-1 E
12-8
Matrices
- HP 39G/40G 1
- USER’S GUIDE 3
- Contents 5
- 9 Inference aplet 7
- 12 Matrices 8
- 13 Lists 8
- 14 Notes and sketches 8
- 15 Programming 9
- 16 Extending aplets 9
- Reference information 10
- Manual conventions 11
- Getting started 13
- The display 14
- The keyboard 15
- Aplet control keys 16
- Entry/Edit keys 17
- 5rivrAX 18
- ?1 ) enter) 18
- Math keys 19
- To search a menu 20
- To cancel a menu 20
- Input forms 21
- Mode settings 21
- Aplets (E-lessons) 23
- Quad Explorer 25
- 26
- Aplet library 27
- Aplet views 27
- Aplet view configuration 29
- Mathematical calculations 30
- 31
- ANS is a variable that is 33
- ALPHA 1 A I ENTER 35
- 1 shift) 35
- Using fractions 36
- 6 the decimal 0.6666 becomes 37
- «NSLE MEftsuRE: Radians 38
- Fract ion 38
- Dot < . ) 38
- Complex numbers 39
- Catalogs and editors 40
- Aplets and their views 43
- 2iT>= 44
- 2ie>= 44
- Evaluating expressions 45
- About the Plot view 47
- ¡§I3S1?,I first 50
- ZOOM examples 52
- (YZOOM) 54
- Split the screen 56
- About the numeric view 57
- MXJMSTART and NUMSTEP 58
- NUMSTART 58
- ZOOM options 59
- ZOOM factor is 4 60
- 60
- Build Your Own 60
- ‘Build Your Own” menu keys 61
- Example: plotting a circle 62
- Function apiet 63
- F4(>0 64
- F5<:X>= T 64
- Function aplet 65
- X = -2 on the linear 67
- To find the 68
- Mlill—IBB 70
- V\ot FCN 71
- ;.r > 1 73
- Parametric aplet 75
- SHIFT MODES 76
- Degrees I 76
- SHIFT PLOT 76
- Overlay Plot 77
- Polar apiet 79
- Explore the 80
- Display the 80
- Sequence aplet 81
- Ul(N-l)+LllCN-2) 82
- {SH^SETUP-PLOT 83
- Solve aplet 85
- 87
- Solve aplet’s NUM view keys 88
- Use an initial guess 89
- Interpreting results 90
- -t 2 2.219330555745 91
- - 1 21.31111111149 91
- Plotting to find guesses 92
- YRNG -5 to 35. Keep the XKNG 93
- Using variables in equations 94
- Statistics apiet 95
- I ENTER I 920 i enter! 96
- I enter 96
- (MEANY) 97
- MEANX is about 3.3 97
- MEANY is 97
- 9. Plot the graph 98
- Stat-Two) 99
- (fsYMBl) 99
- Statistics 101
- Mi STfiTISTICS SVMEnUC 102
- ENTER SAMPLE 102
- 1 with the name 103
- 1 [enter I 103
- 8. Display the computed 104
- None for the 105
- (SIFIT to S5FIT) you 105
- Ascending or Descending 105
- Statistics aplet 106
- Computed statistics 107
- Plotting 109
- Plot types 110
- Fitting a curve to 2VAR data 111
- Trouble-shooting a plot 113
- Exploring the graph 114
- Calculating predicted values 115
- Inference aplet 117
- Inferential 118
- ■MBMIMlIllgHHiiM 119
- ¡SHIFT \SETUP-NUM 120
- □ 529 fENTEFI 122
- Se/ectCONF INTERVAL 123
- T-Int: 1 123
- 7!Ovc to the 124
- Hypothesis tests 125
- Two-Sample Z-Test 126
- One-Proportion Z-Test 127
- Two-Proportion Z-Test 128
- One-Sample T-Test 129
- Two-Sample T-Test 130
- 2 Sample 2 size 131
- Confidence intervals 132
- Two-Sample Z-!nterval 133
- One-Proportion Z-Interval 134
- Two-Proportion Z-Interval 135
- One-Sample T-Interval 136
- Two-Sampie T-Interva! 137
- Using mathematical functions 139
- To select a 140
- Function categories 140
- Math functions by category 141
- Keyboard functions 142
- -1 <.t< 1 143
- 1,2) returns -1,-2) 143
- Calculus functions 145
- Complex number functions 146
- Constants 147
- Hyperbolic trigonometry 147
- List functions 148
- Loop functions 149
- Matrix functions 149
- Polynomial functions 150
- Probability functions 151
- degrees of freedom (of 152
- Returns the probability 152
- Real-number functions 153
- Statistics-Two 156
- Symbolic functions 157
- Test functions 158
- Trigonometry functions 159
- Symbolic calculations 160
- Finding derivatives 161
- BHiiiiaiiaiTwi 162
- (T) instead of (7] 163
- Introduction 165
- Precision 166
- To store a value 166
- To store the 167
- To recall a value 167
- The VARS menu 168
- SHIFT L/.?r 169
- 90 ИЗ 77 иа 170
- \modes 171
- Aplet variables 172
- 6. To copy the value of the 172
- SMEMDRV MSN(I5EFi 173
- Matrices 175
- Creating and storing matrices 176
- To create a matrix 177
- Working with matrices 178
- I ALPHA 179
- Matrix arithmetic 180
- [alphaIMI g [alpha 181
- I SHIFflM/tri?« 182
- 182
- Matrix functions and commands 183
- Argument conventions 184
- [real]] 186
- Examples 187
- Reduced-Row 188
- Echelon Form 188
- Creating lists 189
- Create a list in 191
- 9] keys) and separate each 191
- Displaying and editing lists 192
- To insert an 193
- Deleting lists 194
- Transmitting lists 194
- ________________ 198
- (numIHIIH 199
- Notes and sketches 201
- Note edit keys 202
- Aplet sketch view 203
- To draw a box 204
- To draw a circle 204
- DRAW keys 204
- 2. Press am 205
- The notepad 206
- Notepad Catalog keys 207
- To import a note 208
- Programming 209
- Program catalog 210
- Program catalog keys 211
- The program catalog keys are: 211
- Creating and editing programs 212
- GftliH CDMHiNDS^« 213
- PBOGFiftM cftTHLasgBBas 213
- Editing keys 214
- The editing keys are: 214
- Using programs 215
- Working with programs 216
- About customizing an aplet 217
- Aplet naming convention 218
- Customizing an aplet example 218
- WiililHJiHlIlIBHi 219
- EXP.SV";0; 220
- Programming commands 222
- Command syntax 223
- Auto-run programs 224
- ProgramName 224
- ViewNumber 224
- Branch commands 225
- 2 THEN true-clause2 END 226
- Drawing commands 227
- Graphic commands 228
- Loop commands 230
- Matrix commands 231
- Prompt commands 233
- DISPTIME 234
- 236
- D01VSTATS 237
- D02VSTATS 237
- SETDEPEND 237
- SETINDEP 237
- Plot-view variables 238
- 0 ► FastRes—for more detail 239
- InvCross 240
- Recenter 241
- S1mark-S5mark 241
- StatPlot 242
- Umin/Umax 242
- Xmin / Xmax 244
- Ymin / Ymax 244
- Symbolic-view variables 245
- X1, Y1...X9,Y9 246
- R1...R9, RO 246
- U1...U9, UO 246
- E1...E9, EO 246
- Numeric-view variables 247
- Numindep 248
- NumStart 249
- Note variables 250
- Sketch variables 250
- Extending aplets 251
- ■BiwsptmwHnsBi 252
- El:SIHC6>=0/H 252
- E2:C0S<e)=flAH 252
- E3:TflN<8>=0^fl 252
- Example: To use 253
- Resetting an aplet 254
- Sending and receiving aplets 255
- ]. To delete all custom 256
- LED safety 258
- Warranty 258
- Resetting the HP 39G/40G 260
- Glossary 262
- Operating details 263
- Menu maps of the VARS menu 264
- Function aplet variables 265
- Parametric aplet variables 266
- Polar aplet variables 267
- Sequence aplet variables 268
- Solve aplet variables 269
- Statistics aplet variables 270
- Menu maps of the MATH menu 271
- Program constants 273
- Program commands 274
- Selected status messages 275
- Message Meaning (Continued) 276
- 1-4 Index 280
- ( 285
- 351 Burwood Highway 291
- Forest Hill, 3131 291
- Victoria, Australia 291
- Printed in China 291
- ËSü-1-a 292
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