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For example, the following set of equations has an innite number of solutions:
x + y – z = 5
2x – y = 7
x – 2y + z = 2
The nal row of zeros in the reduced-row echelon form of the augmented matrix indicates an inconsistent
system with innite solutions.
Matrix functions 543
- HP Prime Graphing Calculator 1
- Table of contents 3
- 1 Preface 49
- 2 Getting started 50
- On/o, cancel operations 51
- The display 52
- The Quick Settings menu 53
- Navigation 54
- Touch gestures 55
- The keyboard 55
- Context-sensitive menu 56
- Entry and edit keys 57
- Shift keys 58
- Adding text 59
- Math keys 59
- Math template 61
- Math shortcuts 62
- Fractions 63
- Hexagesimal numbers 63
- EEX key (powers of 10) 64
- Selecting from a menu 65
- Input forms 66
- System-wide settings 67
- Home settings 68
- System-wide settings 21 69
- Specifying a Home setting 70
- Mathematical calculations 71
- Where to start 72
- Choosing an entry type 72
- Entering expressions 72
- Parentheses 73
- Negative numbers 74
- Large results 75
- Using the clipboard 75
- Reusing the last result 76
- Storing value in a variable 77
- Complex numbers 78
- Copy and paste 79
- Sharing data 81
- Using Memory Manager 82
- Online help 84
- History in RPN mode 87
- Reusing results 88
- Sample calculations 89
- Manipulating the stack 90
- Show an item 93
- Delete an item 93
- Delete all items 94
- CAS view 95
- CAS calculations 96
- Example 1 97
- Settings 98
- Settings 51 99
- Using a Home variable in CAS 101
- 5 Exam Mode 102
- Creating a new conguration 105
- Activating exam mode 106
- Modifying congurations 108
- Deleting congurations 109
- 6 Introduction to HP apps 110
- Application library 111
- App views 112
- Symbolic view 113
- Symbolic Setup view 114
- Plot view 114
- Plot Setup view 115
- Numeric view 115
- Numeric Setup view 116
- Quick example 117
- Adding a denition 120
- Modifying a denition 121
- Denitional building blocks 121
- Choosing a color for plots 123
- Deleting a denition 123
- Press 124
- Restoring default settings 125
- Zoom factors 126
- Zoom options 127
- Zoom gestures 127
- Zoom keys 127
- Zoom menu 127
- Box zoom 128
- Views menu 129
- Zoom examples 130
- Autoscale 135
- Autoscale 135
- Selecting a plot 137
- Evaluating a function 138
- Turning tracing on or o 138
- Conguring Plot view 139
- Graphing methods 142
- Evaluating 147
- Custom tables 148
- Deleting data 149
- Copying and pasting a cell 149
- Copying and pasting a row 149
- More menu 151
- Adding a note to an app 153
- Creating an app 153
- App functions and variables 155
- Qualifying variables 156
- 7 Function app 157
- Dening the expressions 158
- Setting up a plot 159
- Plotting a function 159
- Tracing a graph 160
- Changing the scale 161
- Displaying Numeric view 161
- Setting up Numeric view 163
- Exploring Numeric view 164
- Analyzing functions 165
- Displaying the Plot view menu 166
- Modifying function graphs 167
- Function variables 175
- – x – Root 176
- 128 Chapter 7 Function app 176
- Summary of FCN operations 177
- Functions dened by integrals 180
- 8 Advanced Graphing app 182
- Dening an open sentence 185
- Setting up the plot 185
- Exploring the graph 187
- Trace in Plot view 190
- Trace in Numeric view 193
- Plot Gallery 196
- 9 Geometry 197
- Adding a constrained point 198
- Adding a tangent 199
- Creating a derivative point 200
- Adding some calculations 202
- Calculations in Plot view 204
- Trace the derivative 204
- Plot view in detail 205
- Selecting objects 206
- Hiding names 206
- Moving objects 206
- Coloring objects 207
- Filling objects 207
- Clearing an object 207
- Clearing all objects 208
- Gestures in Plot view 208
- Plot view: buttons and keys 209
- The Options menu 210
- Using the slopeeld command 210
- Symbolic view in detail 212
- Creating objects 213
- Reordering entries 213
- Hiding an object 213
- Numeric view in detail 214
- Listing all objects 217
- Editing a calculation 217
- Plot view: Cmds menu 218
- Angle bisector 221
- Triangle 221
- Isosceles Triangle 221
- Right Triangle 222
- Quadrilateral 222
- Parallelogram 222
- Rectangle 222
- Regular Polygon 223
- Circumcircle 224
- Excircle 224
- Incircle 224
- Hyperbola 225
- Parabola 225
- Function 227
- Parametric 227
- Sequence 228
- Implicit 228
- Slopeeld 228
- Transform 229
- Reection 230
- Rotation 231
- Dilation 231
- Similarity 232
- Projection 232
- Inversion 233
- Reciprocation 233
- Cartesian 234
- Symbolic view: Cmds menu 237
- Numeric view: Cmds menu 248
- Other Geometry functions 252
- 10 Spreadsheet 259
- Basic operations 264
- Cell naming 265
- Entering content 265
- Direct entry 266
- Importing data 267
- External functions 267
- Using the CHOOSE command 269
- External references 269
- Referencing variables 270
- Buttons and keys 271
- Formatting options 272
- Format parameters 273
- Spreadsheet functions 274
- 11 Statistics 1Var app 275
- Symbolic view: menu items 278
- Numeric view: menu items 282
- Editing a data set 283
- Inserting data 283
- Generating data 283
- Computed statistics 284
- Plotting 285
- Plot types 286
- Box-and-whisker plot 287
- Normal probability plot 287
- Line plot 288
- Bar graph 288
- Pareto chart 289
- Control chart 289
- Dot plot 290
- Stem and leaf plot 290
- Plot view: menu items 292
- 12 Statistics 2Var app 293
- Entering data 294
- Choosing data columns and t 295
- Exploring statistics 296
- Plotting the graph 298
- Displaying the equation 299
- Predicting values 299
- Dening a regression model 301
- Choosing a t 302
- Fit types 302
- Dening your own t 302
- Plotting statistical data 304
- Tracing a scatter plot 305
- Tracing a curve 305
- Tracing order 306
- Troubleshooting a plot 308
- 13 Inference app 309
- Opening the Inference app 310
- Symbolic view options 310
- Table 13-3 X 311
- Table 13-4 Regression 311
- Table 13-5 ANOVA 311
- Displaying the test results 314
- Plotting the test results 314
- Importing statistics 315
- Calculating the statistics 317
- Importing the data 318
- Importing statistics 271 319
- Hypothesis tests 320
- One-Sample Z-Test 321
- Two-Sample Z-Test 321
- One-Proportion Z-Test 322
- Two-Proportion Z-Test 323
- One-Sample T-Test 325
- Two-Sample T-Test 326
- Condence intervals 327
- Two-Sample Z-Interval 328
- One-Proportion Z-Interval 329
- Two-Proportion Z-Interval 329
- One-Sample T-Interval 330
- Two-Sample T-Interval 331
- Chi-square tests 332
- Two-way table test 333
- Inference for regression 334
- Condence interval for slope 335
- Menu name 336
- Menu keys 336
- Prediction interval 338
- 14 Solve app 341
- Opening the Solve app 342
- Entering known variables 343
- Plotting the equation 344
- Several equations 345
- Opening the solve app 346
- Dening the equations 346
- Entering a seed value 346
- Limitations 347
- Solution information 348
- 15 Linear Solver app 349
- Menu items 351
- 16 Parametric app 352
- Dening the functions 353
- Setting the angle measure 353
- Plotting the functions 355
- Displaying the Numeric view 356
- 17 Polar app 357
- Plotting the expression 359
- 18 Sequence app 362
- Opening the Sequence app 363
- Dening the expression 363
- Plotting the sequence 365
- Exploring the table of values 367
- 19 Finance app 371
- Cash ow diagrams 373
- 326 Chapter 19 Finance app 374
- Time value of money (TVM) 375
- Amortizations 377
- 330 Chapter 19 Finance app 378
- Amortization graph 379
- 20 Triangle Solver app 380
- Specify the known values 381
- Choosing triangle types 382
- Special cases 383
- Not enough data 384
- 21 The Explorer apps 385
- Graph mode 386
- Equation mode 386
- Test mode 387
- Quadratic Explorer app 388
- Trig Explorer app 390
- 22 Functions and commands 393
- Keyboard functions 395
- Math menu 400
- Arithmetic 401
- Arithmetic – Complex 402
- Arithmetic – Exponential 403
- Trigonometry 403
- Hyperbolic 404
- TANH(value) 405
- ATANH(value) 405
- Math menu 357 405
- Probability 406
- Probability – Random 406
- Probability – Density 407
- Probability – Cumulative 408
- Binomial 409
- Geometric 409
- Probability – Inverse 410
- CAS menu 412
- Algebra – Extract 414
- Calculus 414
- Integrate 415
- Summation 415
- Calculus – Dierential 416
- Calculus – Integral 416
- Calculus – Limits 417
- Calculus – Transform 418
- Complex Solve 419
- Complex Zeros 419
- Numerical Solve 420
- Dierential Equation 420
- ODE Solve 420
- Linear System 420
- Rewrite – Exp & Ln 421
- Rewrite – Sine 422
- Rewrite – Cosine 422
- Rewrite – Tangent 423
- Rewrite – Trig 424
- Divisors 425
- Factor List 425
- Integer – Prime 426
- Integer – Division 427
- Polynomial 428
- Polynomial – Create 429
- Polynomial – Algebra 430
- Polynomial – Special 431
- Groebner Remainder 432
- Lagrange 432
- Laguerre 432
- Legendre 432
- App menu 433
- Function app functions 434
- Solve app functions 435
- Spreadsheet app functions 435
- HypZ1mean 442
- HYPZ2mean 443
- HypZ1prop 443
- HypZ2prop 444
- HypT1mean 445
- HypT2mean 445
- ConfZ1mean 446
- ConfZ2mean 446
- ConfZ1prop 447
- ConfZ2prop 447
- ConfT1mean 447
- Statistics 1Var app functions 448
- Statistics 2Var app functions 449
- Inference app functions 450
- HypZ2mean 451
- ConfT2mean 455
- Chi2TwoWay 455
- LinRegrTConf- Slope 455
- LinRegrTConfInt 456
- LinRegrTMean-Resp 456
- LinRegrTPredInt 457
- LinRegrTTest 457
- Finance app functions 458
- Linear Solver app functions 459
- Triangle Solver app functions 460
- Linear Explorer functions 461
- Quadratic Explorer functions 462
- Common app functions 462
- Ctlg menu 464
- Day of the week 474
- LineVert 488
- PIECEWISE 495
- POLYROOT 497
- Creating your own functions 515
- 23 Variables 517
- Working with user variables 518
- Working with app variables 519
- More about the Vars menu 519
- Home variables 521
- App variables 522
- Results variables 523
- Geometry app variables 524
- Spreadsheet app variables 524
- Solve app variables 524
- App variables 477 525
- Statistics 1Var app variables 526
- Statistics 2Var app variables 528
- Inference app variables 531
- Parametric app variables 533
- Polar app variables 534
- Finance app variables 535
- Linear Solver app variables 535
- Triangle Solver app variables 536
- Linear Explorer app variables 536
- Trig Explorer app variables 536
- Sequence app variables 537
- 24 Units and constants 538
- Unit calculations 539
- Length. Select cm 540
- 5 inches rst 541
- Unit calculations 493 541
- Unit tools 543
- Physical constants 544
- List of constants 547
- 25 Lists 549
- Button or Key 550
- The List Editor 551
- Editing a list 552
- Deleting lists 554
- Lists in Home view 555
- To display a list 556
- To display one element 556
- To store one element 556
- List references 556
- To send a list 556
- List functions 557
- Intersect 558
- Make List 558
- Concatenate 559
- Position 559
- 5. Calculate the statistics 563
- Tap when you are done 563
- 26 Matrices 564
- Working with matrices 565
- Matrix Editor: More menu 566
- Matrices in Home view 568
- Storing a matrix 570
- Displaying a matrix 571
- Displaying one element 571
- Storing one element 571
- Matrix arithmetic 572
- 2, press the following keys: 574
- 526 Chapter 26 Matrices 574
- Multiplying two matrices 575
- Raising a matrix to a power 575
- Dividing by a square matrix 576
- Inverting a matrix 576
- Negating each element 577
- 530 Chapter 26 Matrices 578
- Matrix functions and commands 580
- Matrix functions 581
- Identity 582
- Isometric 583
- Vandermonde 583
- Row Norm 583
- Column Norm 584
- Spectral Norm 584
- Spectral Radius 584
- Condition 584
- Advanced 585
- Diagonal 586
- Cholesky 586
- Hessenberg 586
- Factorize 587
- Cross Product 588
- Dot Product 588
- Examples 589
- Reduced-Row Echelon Form 590
- 27 Notes and Info 592
- The Note Editor 593
- Creating a note for an app 594
- Note Editor: buttons and keys 594
- The Note Editor 547 595
- Text formatting 596
- The Note Editor 549 597
- To import a note 598
- 28 Programming in HP PPL 600
- The Program Catalog 601
- Creating a new program 602
- Creating a new program 555 603
- The Program Editor 604
- Creating a new program 557 605
- Button or Key Meaning 606
- Deletes the entire program 606
- Run a Program 609
- Debug a Program 611
- Edit a Program 613
- Delete a program 614
- Delete all programs 614
- Variables and visibility 615
- Program ROLLDIE 617
- Program ROLLMANY 617
- User mode 619
- Reassigning keys 620
- Key names 620
- App programs 624
- Redening the View menu 625
- Customizing an app 625
- Program commands 631
- Variable 636
- Commands under the Cmds menu 637
- String Result 639
- STRING(2/3) 0.666666666667 639
- Pixels and Cartesian 641
- App Functions 651
- Variables and programs 661
- 29 Basic integer arithmetic 687
- The default base 688
- Changing the default base 689
- Mixed-base arithmetic 689
- Integer manipulation 690
- Base functions 691
- 30 Appendix A – Glossary 693
- Calculator not responding 695
- Operating limits 695
- Status messages 695
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