Casio fx-9750G PLUS User Manual Page 123
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95
kk
kk
k Matrix Inversion
Matrix
Mat A
!X w
Mat Z
MatAns
Example To invert the following matrix :
Matrix A =
12
34
1(Mat)aA!Xw
•Only square matrices (same number of rows and columns) can be inverted.
Trying to invert a matrix that is not square produces an error.
•A matrix with a value of zero cannot be inverted. Trying to invert a matrix with
value of zero produces an error.
•Calculation precision is affected for matrices whose value is near zero.
•A matrix being inverted must satisfy the conditions shown below.
A A
–1
= A
–1
A = E =
10
01
• The following shows the formula used to invert Matrix A into inverse matrix
A
–1
.
A =
ab
cd
A
–1
=
1
d –b
ad – bc
–c a Note that ad – bc
G
0.
Matrix Calculations 6 - 4
- fx-9750G PLUS 1
- CFX-9850G PLUS 1
- CFX-9850GB PLUS 1
- CFX-9850GC PLUS 1
- CFX-9950GB PLUS 1
- BEFORE USING THE CALCULATOR 3
- FOR THE FIRST TIME 3
- P button 4
- ABOUT THE COLOR DISPLAY 5
- Example: 6
- Alpha Lock 7
- KEY TABLE 8
- Quick-Start 10
- 2 (RANG) bwdwbw 19
- Handling Precautions 21
- CFX-9850G PLUS 23
- Contents 24
- — Read This First! 29
- 1. Key Markings 30
- Currently selected icon 31
- 3. Display 36
- (16), which 38
- 4. Contrast Adjustment 39
- About 3 seconds later 40
- Basic Operation 41
- = 0 to 9) 42
- ÷ 7 – 42857 = 46
- 1-2 Memory 50
- 1 - 2 Memory 52
- Number of bytes still free 53
- 1-3 Option (OPTN) Menu 55
- 1-4 Variable Data (VARS) Menu 56
- Table Content Data 59
- 1-5 Program (PRGM) Menu 62
- Manual Calculations 63
- 2-1 Basic Calculations 64
- 2 - 1 Basic Calculations 66
- 2-2 Special Functions 67
- 2 - 2 Special Functions 68
- Intermediate result at point 70
- ” is used 70
- 2-3 Function Calculations 71
- 2 - 3 Function Calculations 72
- * can be omitted 73
- (Conversion to decimal* 77
- (Norm 1 display format) 77
- Numerical Calculations 81
- Upper limit 82
- Lower limit 82
- Initial estimated value 82
- Increase/decrease of 83
- Final boundary ( 86
- = 1 to 15) 86
- Positive part ( 90
- )Negative part ( 90
- Distance between partitions 93
- Last term of sequence 93
- Initial term of sequence 93
- Variable used by sequence 93
- Complex Numbers 95
- Calculation 96
- Imaginary axis 97
- Real axis 97
- Binary, Octal, Decimal 101
- Calculations 101
- Hexadecimal Values 102
- A B C D E F 102
- Normal Text 102
- 5-2 Selecting a Number System 104
- 2 + 110102 105
- Matrix Calculations 107
- 2 (row) 108
- 2 (column) matrix 108
- Not dimension preset 108
- 6-2 Matrix Cell Operations 111
- 6 - 2 Matrix Cell Operations 112
- 11 a12 a1n 116
- 21 a22 a2n 116
- Number of rows/columns 117
- Matrix name 117
- Number of rows 117
- Number of columns 117
- Filler value 118
- Column number 119
- Number of rows and columns 121
- 6 - 4 Matrix Calculations 122
- Equation Calculations 127
- Coefficient input cells 130
- 2 b2 c2 d2 131
- 3 b3 c3 d3 131
- 7-4 Solve Calculations 135
- 7 - 4 Solve Calculations 136
- Graphing 139
- Memory area 140
- to change selection 140
- 8-3 Graph Function Operations 145
- Unhighlights 148
- 8-4 Graph Memory 150
- 8-5 Drawing Graphs Manually 151
- =” for Func Type 152
- 8 - 5 Drawing Graphs Manually 154
- 8-6 Other Graphing Functions 156
- coordinate values 157
- 8-7 Picture Memory 167
- 8-8 Graph Background 168
- Graph Solve 171
- 9-1 Before Using Graph Solve 172
- Sketch Function 181
- ^, log, In, 193
- Dual Graph 195
- 11-1 Before Using Dual Graph 196
- Parameters 197
- Graph-to-Table 203
- -coordinate value 205
- 12 - 2 Using Graph-to-Table 206
- Dynamic Graph 209
- Selected memory area 210
- to move 210
- Graph Functions 211
- 13-3 Drawing a Dynamic Graph 212
- Function being graphed 213
- Coefficients in function 213
- Conic Section Graphs 221
- Graph function 223
- Function variables 223
- Focus F' 226
- Asymptote 226
- Table & Graph 233
- ” in the top line 237
- No highlighting 242
- Recursion Table and 245
- Graph Function 246
- Generating a Table 247
- Unhighlights this formula 250
- Σ Display 251
- +1 = –3an 254
- 0 = 0.02 bn Str = 0.02 254
- List Function 257
- List Data Linking 258
- 17-1 List Operations 259
- 17 - 1 List Operations 260
- 17-3 Manipulating List Data 265
- 17 - 3 Manipulating List Data 266
- Statistical Graphs and 277
- Examples 279
- Statistical Data 285
- (2 π) xσ 286
- Height (cm) Frequency 301
- Ymin ~ Ymax 303
- –0.1 0.45 303
- Xmin ~ Xmax 303
- –3.2 3.2 303
- 18-6 Tests 304
- 306
- 18 - 6 Tests 308
- 0” specifies two-tail 309
- 0 = 0.5, x = 2048, n = 4040 309
- 18-7 Confidence Interval 322
- 18 - 7 Confidence Interval 324
- 18-8 Distribution 332
- ∞ (–1E99), upper 334
- > 0) 335
- 18 - 8 Distribution 336
- = p(1– p) 346
- Financial Calculations 349
- PV= –(PMT × + FV × ) 354
- PV + PMT × n + FV = 0 354
- PV = – (PMT × n + FV ) 354
- PV + FV 355
- 0. The cash 365
- 19 - 4 Investment Appraisal 366
- I% = 11) 367
- 19-5 Amortization of a Loan 369
- 19 - 5 Amortization of a Loan 370
- –1 × n ×100 373
- I% = 12.55%) 374
- 19-8 Day/Date Calculations 377
- <year> 377
- 19 - 8 Day/Date Calculations 378
- Programming 379
- 20-1 Before Programming 380
- 20-2 Programming Examples 381
- File name 382
- 20- 2 Programming Examples 384
- 20-3 Debugging a Program 386
- 20-5 Secret Function 388
- 2. Press 2 (EDIT) 389
- Secret Function 20- 5 389
- 20-6 Searching for a File 390
- 20-9 Deleting a Program 396
- 20-10 Useful Program Commands 397
- 20-11 Command Reference 399
- 11 Command Reference 400
- : (Multi-statement Command) 401
- _ (Carriage Return) 401
- If~Then~Else~IfEnd 403
- For~To~Next 403
- Do~LpWhile 405
- While~WhileEnd 405
- Main Routine Subroutines 407
- ⇒ (Jump Code) 409
- DispF-Tbl, DispR-Tbl 411
- DrawDyna 411
- DrawFTG-Con, DrawFTG-Plt 411
- DrawGraph 411
- , >, <, ≥, ≤ 415
- 20-12 Text Display 416
- Multiplier 417
- -axis data (YList) 426
- -axis data (XList) 426
- Data Communications 427
- 21-1 Connecting Two Units 428
- Computer 429
- Operation 431
- Data item 432
- Data item name 434
- Password input field 434
- 21-6 Screen Send Function 436
- Program Library 439
- PROGRAM SHEET 440
- P (Probability) 445
- Graph Y= 447
- Circle and Tangents 449
- Rotating a Figure 455
- Appendix 457
- Appendix A 459
- Appendix B Power Supply 460
- Appendix B 461
- ∑ calculation 464
- Appendix C 465
- Appendix D Input Ranges 466
- Appendix D 467
- Appendix E Specifications 469
- Command Index 477
- Key Index 478
- Program Mode Command List 481
- (fx-9750G 482
- FCC WARNING 485
- Declaration of Conformity 485
- CASIO COMPUTER CO., LTD 486
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