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Matrices 15-9
2. Create the vector of the
constants in the linear
system.
5 7
1
3. Return to the Matrix
Catalog.
MATRIX
In this example, the
vector you created is
listed as M1.
4. Create a new matrix.
Select Real matrix
5. Enter the equation
coefficients.
23
4
11
1 4
12
In this example, the matrix you created is listed as
M2.
6. Return to HOME and enter the calculation to
left-multiply the constants vector by the inverse of the
coefficients matrix.
M2
x
–1
M1
The result is a vector of the
solutions x = 2, y = 3 and z = –2.
An alternative method, is to use the RREF function. See
“RREF” on page 15-12.
HP 39gs English.book Page 9 Wednesday, December 7, 2005 11:24 PM
- HP 39gs graphing calculator 1
- Printing History 2
- Contents 3
- 11 Inference aplet 5
- 12 Using the Finance Solver 5
- 15 Matrices 6
- 16 Lists 6
- 17 Notes and sketches 6
- 18 Programming 6
- 19 Extending aplets 7
- Manual conventions 9
- Getting started 11
- The display 12
- The keyboard 13
- Aplet control keys 14
- Entry/Edit keys 15
- Shifted keystrokes 16
- Getting started 1-7 17
- Program 18
- Input forms 19
- Mode settings 20
- Setting a mode 21
- Aplets (E-lessons) 22
- Quad Explorer 24
- Getting started 1-15 25
- Aplet library 26
- Aplet views 26
- Overlay Plot 27
- Aplet view configuration 28
- Mathematical calculations 29
- Example Calculate : 30
- Example Calculate 30
- Getting started 1-21 31
- Last output 32
- Last input 32
- Edit line 32
- Getting started 1-23 33
- Storing a value 34
- Using fractions 35
- Setting fraction 36
- Fraction 37
- Converting 38
- Complex numbers 39
- Catalogs and editors 40
- Aplets and their views 41
- 2-2 Aplets and their views 42
- Evaluating expressions 43
- 2-4 Aplets and their views 44
- About the Plot view 45
- Plot view 46
- To move between 48
- Zoom within a 49
- 2-10 Aplets and their views 50
- Aplets and their views 2-11 51
- 2-12 Aplets and their views 52
- VIEWS menu 53
- 2-14 Aplets and their views 54
- Trigonometric 55
- About the numeric view 56
- Aplets and their views 2-17 57
- 2-18 Aplets and their views 58
- NUM), choose 59
- CLEAR) 59
- “Build Your Own” menu keys 60
- Example: plotting a circle 60
- SETUP-NUM 61
- Function aplet 63
- Define the 64
- Plot the 64
- Change the 65
- Analyse graph 66
- Function aplet 3-5 67
- Display the 69
- Explore the 69
- 3-8 Function aplet 70
- Access FCN 71
- 3-10 Function aplet 72
- Function aplet 3-11 73
- CLEAR to clear all lines.) 74
- CHARS ≤ 74
- CHARS > 1 74
- AND CHARS ≤ 1 74
- Parametric aplet 75
- Set angle 76
- Polar aplet 79
- and R1 80
- Sequence aplet 81
- Solve aplet 85
- 7-2 Solve aplet 86
- Solve the 87
- Solve aplet’s NUM view keys 88
- Use an initial guess 89
- Interpreting results 90
- Plotting to find guesses 91
- 7-8 Solve aplet 92
- Solve aplet 7-9 93
- Using variables in equations 94
- Linear Solver aplet 95
- Choose the 96
- Define and 96
- Linear Solver aplet 8-3 97
- Triangle Solve aplet 99
- 9-2 Triangle Solve aplet 100
- Errors No solution with 101
- 9-4 Triangle Solve aplet 102
- Statistics aplet 103
- Open the 104
- Choose fit and 105
- SETUP-PLOT 106
- Statistics aplet 10-5 107
- 10-6 Statistics aplet 108
- Statistics aplet 10-7 109
- 10-8 Statistics aplet 110
- CLEAR is used the 111
- Sort data 113
- Defining a regression model 114
- To define your 115
- Computed statistics 116
- Plotting You can plot: 117
- Plot types 118
- Fitting a curve to 2VAR data 119
- SETUP-PLOT) sets most of the 120
- Trouble-shooting a plot 121
- Exploring the graph 121
- Calculating predicted values 122
- Statistics aplet 10-21 123
- Inference aplet 125
- 11-2 Inference aplet 126
- Select the 127
- 11-4 Inference aplet 128
- Calculate 129
- 11-6 Inference aplet 130
- Display Numeric 131
- Display Plot 131
- Hypothesis tests 132
- Results The results are: 133
- Menu name Z-Test: μ1–μ2 133
- Inputs The inputs are: 133
- Menu name Z-Test: 1π 134
- Menu name Z-Test: π1 – π2 135
- Menu name T-Test: 1 μ 136
- Menu name T-Test: μ1 – μ2 138
- Confidence intervals 139
- Two-Sample Z-Interval 140
- One-Proportion Z-Interval 141
- Two-Proportion Z-Interval 141
- One-Sample T-Interval 142
- Two-Sample T-Interval 143
- Using the Finance Solver 145
- Background 145
- 12-2 Using the Finance Solver 146
- Using the Finance Solver 12-3 147
- Performing TVM calculations 148
- Example 1 - Loan calculations 149
- 12-6 Using the Finance Solver 150
- Calculating Amortizations 151
- 12-8 Using the Finance Solver 152
- Using mathematical functions 153
- Math functions by category 154
- Keyboard functions 155
- ASIN Arc sine: sin 156
- ACOS Arc cosine: cos 156
- ATAN Arc tangent: tan 157
- Complex number functions 159
- Constants 160
- Conversions 160
- Hyperbolic trigonometry 161
- List functions 162
- Loop functions 162
- Matrix functions 163
- Polynomial functions 163
- Probability functions 164
- Real-number functions 165
- Two-variable statistics 169
- Symbolic functions 169
- Test functions 170
- Trigonometry functions 171
- Symbolic calculations 172
- Finding derivatives 173
- To find derivatives 174
- To find the 175
- Program constants 176
- Physical constants 177
- Introduction 179
- To store the results 180
- To use variables in 181
- The VARS menu 182
- To access an aplet 186
- Memory Manager 187
- Matrices 189
- Creating and storing matrices 190
- To create a matrix 191
- Working with matrices 192
- To display one 193
- Matrix arithmetic 194
- Matrices 15-7 195
- To divide by a 196
- To negate each 196
- Matrices 15-9 197
- Matrix functions and commands 198
- Matrices 15-11 199
- 15-12 Matrices 200
- Examples 201
- Transposing a 202
- Reduced-Row 202
- Echelon Form 202
- Matrices 15-15 203
- Create a list in 205
- CLEAR Clears all lists 206
- Displaying and editing lists 208
- To insert an element 209
- To store one 209
- Lists 16-7 211
- 16-8 Lists 212
- Lists 16-9 213
- 16-10 Lists 214
- Notes and sketches 215
- Note edit keys 216
- Aplet sketch view 217
- DRAW keys 218
- Notes and sketches 17-5 219
- The notepad 220
- Notepad Catalog keys 221
- NOTEPAD), open the note 222
- Programming 223
- Program catalog 224
- Program catalog keys 225
- Creating and editing programs 226
- PROGRM to 227
- CHARS menu 228
- Using programs 229
- Transmit a 230
- Customizing an aplet 231
- Aplet naming convention 232
- Configuring the 233
- Setviews menu 233
- 18-12 Programming 234
- Programming commands 235
- Aplet commands 236
- Auto-run programs 237
- ProgramName 238
- ViewNumber 238
- Branch commands 239
- 18-18 Programming 240
- Drawing commands 241
- 18-20 Programming 242
- Graphic commands 243
- 18-22 Programming 244
- PageNum: 244
- Loop commands 245
- Matrix commands 246
- Programming 18-25 247
- Print commands 248
- Prompt commands 248
- Programming 18-27 249
- A:CHOOSE A; 249
- CMDS 250
- NOTE and type AREA IS 251
- Stat-One commands 252
- Stat-Two commands 252
- Programming 18-31 253
- Plot-view variables 254
- Hmin/Hmax 255
- InvCross 255
- Recenter 256
- S1mark–S5mark 257
- StatPlot 257
- Umin/Umax 258
- Tmin / Tmax 258
- Xmin / Xmax 259
- Ymin / Ymax 260
- Symbolic-view variables 261
- S1fit...S5fit 262
- Numeric-view variables 263
- NumIndep 264
- NumStart 264
- StatMode 265
- Note variables 266
- Sketch variables 266
- Extending aplets 267
- 19-2 Extending aplets 268
- Resetting an aplet 269
- Sending and receiving aplets 270
- To transmit 271
- To sort the 272
- To delete an 272
- Reference information 273
- Resetting the HP 39gs 275
- Operating details 276
- To install the main 277
- To install the 277
- Variables 278
- Function aplet variables 279
- Parametric aplet variables 280
- Polar aplet variables 281
- Sequence aplet variables 282
- Solve aplet variables 283
- Statistics aplet variables 284
- MATH menu categories 285
- Physical Constants 288
- Program commands 289
- Status messages 290
- MEMORY) 291
- Limited Warranty 293
- Regulatory information 297
- European Union 298
- Regulatory Notice 298
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