HP 39g Graphing Calculator User's Guide Page 181
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Matrices 12-9
6. Return to HOME and enter the calculation to left
multiply the constants vector by the inverse of the
coefficients matrix.
>+20(@>$/3+$@M2
>6+,)7@x
–1
>[@
>$/3+$@M1
7. Evaluate the calculation.
>(17(5@
The result is a vector of the
solutions:
•
•
•
An alternative method, is to use the RREF function. See
“RREF” on page 12-12.
Matrix functions and commands
About functions • Functions can be used in any aplet or in HOME. They are
listed in the MATH menu under the Matrix category.
They can be used in mathematical
expressions—primarily in HOME—as well as in
programs.
• Functions always produce and display a result. They do
not change any stored variables, such as a matrix
variable.
• Functions have arguments that are enclosed in
parentheses and separated by commas; for example,
CROSS(vector1,vector2). The matrix input can be either
a matrix variable name (such as M1) or the actual matrix
data inside brackets. For example, CROSS(M1,[1,2]).
x 2=
y 3=
z 2–=
- USER’S GUIDE 1
- Contents 3
- 9 Inference aplet 5
- 12 Matrices 6
- 13 Lists 6
- 14 Notes and sketches 6
- 15 Programming 7
- 16 Extending aplets 7
- Manual conventions 9
- P-2 Preface 10
- Getting started 11
- The display 12
- The keyboard 13
- Aplet control keys 14
- >@) 15
- Shifted keystrokes 16
- Program 17
- 1-8 Getting started 18
- Input forms 19
- Mode settings 19
- 1-10 Getting started 20
- Aplets (E–lessons) 21
- displays a 23
- Trig Explorer 24
- Aplet library 25
- Aplet views 25
- 1-16 Getting started 26
- Aplet view configuration 27
- Mathematical calculations 28
- Example Calculate 29
- 1-20 Getting started 30
- Clearing 31
- 1-22 Getting started 32
- Storing a value 33
- Accessing the 33
- Using fractions 34
- Setting 35
- Fraction 36
- Converting 36
- Complex numbers 37
- Catalogs and editors 38
- HP 39G/40G 39
- Aplets and their views 41
- 2-2 Aplets and their views 42
- Evaluating expressions 43
- SYMB view 44
- About the Plot view 45
- Reset plot 46
- Zoom within a 48
- Aplets and their views 2-9 49
- 2-10 Aplets and their views 50
- Aplets and their views 2-11 51
- To set zoom 52
- VIEWS menu 53
- 2-14 Aplets and their views 54
- About the numeric view 55
- Reset numeric 56
- NUM view 57
- NUM), choose NUMTYPE: 58
- CLEAR) 58
- “Build Your Own” menu keys 59
- Example: plotting a circle 60
- Function aplet 61
- Plot the 62
- Function aplet 3-3 63
- 3-4 Function aplet 64
- Function aplet 3-5 65
- Display the 66
- Set up the 66
- Explore the 67
- 3-8 Function aplet 68
- Access FCN 69
- 3-10 Function aplet 70
- 1 >@ >(17(5@ 71
- Parametric aplet 73
- Set angle 74
- Polar aplet 77
- for and R1 78
- Sequence aplet 79
- Specify plot 80
- Solve aplet 83
- 7-2 Solve aplet 84
- Solve the 85
- ≈20 times 86
- Solve aplet’s NUM view keys 86
- Use an initial guess 87
- Interpreting results 88
- The Root 89
- Finder at work 89
- Plotting to find guesses 90
- SETUP-PLOT 91
- Using variables in equations 92
- Choose fit and 95
- Explore 95
- 8-4 Statistics aplet 96
- Statistics aplet 8-5 97
- CLEAR to 98
- Statistics aplet 8-7 99
- 8-8 Statistics aplet 100
- CLEAR is used the data 101
- SETUP-PLOT 102
- CLEAR. Select 102
- Sort data 103
- To choose the 103
- To define your 104
- Computed statistics 105
- Two-variable 106
- Plotting You can plot: 107
- Plot types 108
- Fitting a curve to 2VAR data 109
- SETUP-PLOT) sets most of the 110
- Trouble-shooting a plot 111
- Exploring the graph 112
- Calculating predicted values 113
- Inference aplet 115
- Open the 116
- Define the 117
- SETUP-NUM 118
- Plot test 119
- Statistics aplet 119
- Calculate 120
- Display 122
- Numeric view 122
- Display Plot 122
- Hypothesis tests 123
- Two–Sample Z–Test 124
- One–Proportion Z–Test 125
- Two–Proportion Z–Test 126
- One–Sample T–Test 127
- Two–Sample T–Test 128
- Inputs The inputs are: 129
- Results The results are: 129
- Confidence intervals 130
- Two–Sample Z–Interval 131
- One–Proportion Z–Interval 132
- Two–Proportion Z–Interval 133
- One–Sample T–Interval 134
- Two–Sample T–Interval 135
- Using mathematical functions 137
- To select a 138
- Function categories 138
- Math functions by category 139
- Keyboard functions 140
- Calculus functions 143
- Complex number functions 144
- Constants 145
- Hyperbolic trigonometry 145
- List functions 146
- Loop functions 147
- Matrix functions 147
- Polynomial functions 148
- Probability functions 149
- Real-number functions 151
- Statistics-Two 154
- Symbolic functions 155
- Test functions 156
- Trigonometry functions 157
- Symbolic calculations 158
- Finding derivatives 159
- To find 160
- Function aplet’s 160
- Symbolic view 160
- To find the 161
- Introduction 163
- Numeric 164
- Precision 164
- To store the 165
- The VARS menu 166
- To access an 170
- Memory Manager 171
- Matrices 173
- Creating and storing matrices 174
- To create a matrix 175
- Working with matrices 176
- MATRIX), highlight the 177
- Matrix arithmetic 178
- Matrices 12-7 179
- 12-8 Matrices 180
- Matrix functions and commands 181
- Argument conventions 182
- n orthogonal]] 183
- 12-12 Matrices 184
- Examples 185
- Reduced-Row 186
- Echelon Form 186
- Creating lists 187
- CLEAR Clears all lists 188
- Create a list in 189
- Displaying and editing lists 190
- To insert an 191
- To store one 191
- Deleting lists 192
- Transmitting lists 192
- 13-8 Lists 194
- Lists 13-9 195
- 13-10 Lists 196
- Lists 13-11 197
- Notes and sketches 199
- Note edit keys 200
- Aplet sketch view 201
- DRAW keys 202
- Notes and sketches 14-5 203
- The notepad 204
- Notepad Catalog keys 205
- NOTEPAD), open the note 206
- Programming 207
- Program catalog 208
- Program catalog keys 209
- Creating and editing programs 210
- CMDS to open the 211
- PROGRM to 211
- 15-6 Programming 212
- Using programs 213
- Working with programs 214
- About customizing an aplet 215
- Aplet naming convention 216
- Customizing an aplet example 216
- Configuring 217
- 15-12 Programming 218
- Programming 15-13 219
- Programming commands 220
- Programming 15-15 221
- Auto-run programs 222
- ProgramName 222
- ViewNumber 222
- Branch commands 223
- 15-18 Programming 224
- Drawing commands 225
- Graphic commands 226
- Programming 15-21 227
- Loop commands 228
- Matrix commands 229
- 15-24 Programming 230
- Print commands 231
- Prompt commands 231
- CMDS >@ *A, >6,1@ 232
- Programming 15-27 233
- 15-28 Programming 234
- Stat-One commands 235
- Stat-Two commands 235
- Plot-view variables 236
- Extremum 237
- Hmin/Hmax 237
- InvCross 238
- Nmin / Nmax 239
- Recenter 239
- S1mark–S5mark 239
- StatPlot 240
- Umin/Umax 240
- Tmin / Tmax 241
- Xmin / Xmax 242
- Ymin / Ymax 242
- Symbolic-view variables 243
- 15-38 Programming 244
- Numeric-view variables 245
- NumIndep 246
- NumStart 247
- Note variables 248
- Sketch variables 248
- Extending aplets 249
- Aplet Keys 250
- Extending aplets 16-3 251
- Resetting an aplet 252
- Sending and receiving aplets 253
- To sort the 254
- To delete an 254
- Reference information 255
- LED safety 256
- Warranty 256
- Reference information R-3 257
- Resetting the HP 39G/40G 258
- Reference information R-5 259
- Glossary 260
- Operating details 261
- Menu maps of the VARS menu 262
- Function aplet variables 263
- Parametric aplet variables 264
- Polar aplet variables 265
- Sequence aplet variables 266
- Solve aplet variables 267
- Statistics aplet variables 268
- Menu maps of the MATH menu 269
- R-16 Reference information 270
- Program constants 271
- Program commands 272
- Selected status messages 273
- MEMORY) 274
- Index I-1 275
- I-2 Index 276
- Index I-3 277
- I-4 Index 278
- Index I-5 279
- I-6 Index 280
- Index I-7 281
- I-8 Index 282
- Index I-9 283
- I-10 Index 284
- Index I-11 285
- I-12 Index 286
- Index I-13 287
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