Hp 49g Graphing Calculator Manual de usuario Pagina 48
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Advanced matrix operations
Creating special matrices
To create an array Riled with a given constant
1. Select the Constant Array command.
0 (WTRICESl CREATE CON
2. For the first argument of the command, enter either:
• a list containing the dimensions of the desired constant array:
{ roivs, cohmins } or
• an existing array.
.3. For the second argument, enter the constant that you want in the array.
4. Press®®).
The result is an array of the dimensions you entered (or of the
dimensions of the specified array) filled with the specified constant.
To create an identity matrix
1. Select the Identity Matrix command.
CREATEIDN
2. Enter either:
• a number representing the number of rows and columns you want
in the identity matrix or
• an existing array.
3. Press®®).
The result is an identity matrix of the specified dimensions (that is, a
square matrix with zero for all elements except the diagonal elements,
which are all 1).
Matrices and linear algebra
Page 5-7
- ADVANCED 4
- USER’S GUIDE 4
- Contents 6
- Chapter 4: The Stack 4-1 7
- Chapter 8: Number bases 8-1 8
- Chapter 11: Memory 11-1 10
- Index 1-1 11
- Material covered 12
- The HP 49G documentation set 13
- Chapter 1 14
- Entering commands 14
- Keyboard entry 14
- Subject-specific menus 14
- Sub-menus 15
- (ENTER) 16
- Scrolling through the catalog 17
- (ALPHA) 18
- (ALPHA)© 18
- Typing commands 19
- Chapter 2 20
- System Flags 20
- Displaying system Flags 20
- Setting and clearing Flags 21
- Method 3 22
- Flag commands 23
- User Flags 23
- Chapter 3 24
- Command line operations 24
- Activating the command line 24
- Positioning the cursor 25
- Page 3-3 26
- Selecting characters 27
- Copy, cut, and paste 27
- Editing the command Line 28
- Inserting characters 29
- Editing complex objects 29
- Suspending editing 30
- Find and replace 31
- Find next 32
- OK or (ENTER) 33
- Command Line operations 34
- Page 3-11 34
- Command Line information 35
- ® (0) for BOLD 36
- Chapter 4 38
- The Stack 38
- Using the stack 38
- Example stack calculations 39
- Method 1 40
- Method 2 40
- Multi-command calculations 41
- Chapter 5 42
- Matrices and linear algebra 42
- Matrix Writer operations 42
- Method 2: the GOTO command 43
- To edit an array 43
- Page 5-3 44
- Manipulating columns and rows 45
- To delete a row 46
- Key Description 47
- To create an identity matrix 48
- Assembling matrices 49
- 0 (PRG) TYPE ^ARRY 50
- Disassembling matrices 51
- Inserting rows and columns 52
- To swap two rows in an array 53
- Characterizing matrices 55
- Page 5-15 56
- To transpose a matrix 57
- To invert a square matrix 57
- More matrix arithmetic 58
- TransForming complex matrices 59
- Linear algebra topics 60
- 0 (iliCES) EIGENVECTOR EGV 61
- FACTORIZATION SVL 61
- FACTORIZATION LU 62
- FACTORIZATION LO 62
- FACTORIZATION OR 62
- FACTORIZATION 62
- FACTORIZATION SVD 63
- Chapter 6 64
- Unit objects 64
- Unit prefixes 66
- Converting units 67
- Calculating with units 68
- Sample unit calculations 69
- Powers. To cube 2ft/s 70
- Factoring unit expressions 71
- Converting temperature units 72
- 0 iOirS] TOOLS CONVERT 73
- Chapter 7 74
- Constants Library 74
- 02 dielectric constant 75
- To view the constants library 76
- Page 7-4 77
- Constants library 77
- Chapter 8 78
- Number bases 78
- To set the wordsize 79
- To enter a binary integer 79
- Binary integer arithmetic 80
- Using Boolean operators 82
- Manipulating bits and bytes 83
- Chapter 9 84
- Lists and Sequences 84
- Creating Lists 84
- List Processing 85
- 3. Press (ENTER) 86
- (ME) LIST ADD 86
- 4. Press (ENTER) 86
- To concatenate two lists 87
- Page 9-5 88
- DOSUB command 89
- 0 ® LIST PROCEDURES STREAM 89
- List Manipulations 90
- (00 LIST ELEMENTS PUTÌ 90
- (00 LIST ELEMENTS SIZE 90
- 0 (flGlLIST ELEMENTS POS 91
- 0 (PEG) LIST 91
- 0 {® LIST SUB 91
- 0 ® LIST REEL 91
- Sequences 92
- 0 (MDi) LIST Slist 93
- 0 O LIST PLIST 93
- 0 (MTH) LIST Dlist 93
- Chapter 10 94
- Page 10-2 95
- Examples 96
- To keep the same scaling: 97
- PDM((-6,-6), (6,9)) 98
- PDM(#105h, #3Fh) 98
- Press (N0 CALC 98
- Saving and Restoring Plots 99
- Advanced plotting options 100
- Page 10-7 100
- 0 O, type VPAR and press 101
- Chapter 11 102
- How memory is structured 102
- Accessing port contents 103
- Backup objects 103
- Backing up and restoring HOME 104
- Using data in backup objects 105
- Page 11-5 106
- Library objects 107
- How the HP 49G manages memory 108
- Ins. Mem. Need x bytes 109
- Chapter 12 110
- Date and time arithmetic 110
- Date and time Formats 110
- Date and time tools 111
- (£ED DATE+ 112
- Calculating with times 113
- (CAT) HMS^ 114
- System time 115
- TOOLS TICKS 116
- 0 TOOLS TICKS 116
- STACK SWAP and continue with 116
- Chapter 13 118
- Customization 118
- Creating menus 118
- User mode 119
- Assigning user keys 120
- To unassign a user key 121
- Disabling keys in user mode 121
- To enable disabled keys 122
- Chapter 14 124
- Computer Algebra Commands 124
- Page 14-2 125
- Arithmetic Integer commands 126
- Arithmetic Polynomial 126
- Arithmetic Modulo commands 126
- Calculus commands 127
- Exp and Lin commands 127
- Matrix-related commands 127
- Symbolic solve commands 127
- Trigonometry commands 128
- Alphabetical command list 129
- AC0S2S(ACOS(2/3)+ACOS(X)) 130
- ADDTMOD (X-^2 + 3*X+6,9*X+3) 130
- X''2-2*X+2 130
- I ~x" 131
- {{1,0},{0,1}} 132
- Page 14-10 133
- 0{M£) DERIV AND INTEG 134
- 2 "I T 135
- 1- 2>’(x) = 136
- RKASTH) modulo 137
- X + 3x + 2 138
- (3&S) LIMITS & SERIES 139
- POLYNOMIAL 140
- EGCD(X^2+1,X-1) 140
- {2,1,-{X+D } 140
- EXLR(SIN(X)=5*X+Y) 141
- {SIN(X) 5*X+Y] 141
- EXPAN((X^2+2*X+1)/(X+1)) 142
- EXPANDMOD 143
- FACTORMOD 144
- 0(mTh) polynomial 145
- R(ARiTH) POLYNOMIAI 146
- FXND((X-3)^2/(Z+4)) 147
- {[l,-A-2] [[1,A][0,1]], 148
- GCD(2805,99) 148
- HADAMARD 149
- R(MTH) POLYNOMIAL 150
- HERMITE(4) 150
- 0@£) DERIV & INTEG 150
- RQiMTRICES] 151
- + bv = c 152
- IBERNOULLI 153
- ICHINREM 154
- IDIV2(11632,864) 155
- {13,400} 155
- ILAP{1/(X-5)^2) 156
- X*EXP(5*X) 156
- . & integ 157
- INTVX (X"'2*LN(X) ) 157
- INVMOD(2) 157
- IREMAINDER 158
- ISPRIME? 158
- LAGRANGE 159
- LAGRANGE {'342 160
- LEGENDRE 162
- LIMITS&SERIES 163
- LINSOLVE 164
- LNCOLLECT 165
- R (R1ces)operations 166
- NEXTPRIME 167
- PARTFRAC 168
- Q@IH) polynomial 168
- PREVPRIME 170
- PROPFRAC 171
- ^(Inr(z)) 172
- + X}’ + V 173
- ] , [X,Y]} 173
- REMAINDER 174
- RESULTANT 175
- RISCH(Y''3-3*Y+2,Y) 176
- LINEAR SYSTEMS 176
- systems 176
- 0{M£) LIMITS & SERIES 177
- {X+3,X-3} 179
- SINCOS(EXP(i*X)) 180
- COS(X)+iSIN(X) 180
- SOLVE(X"3-X-9,X) 180
- {X=2.24004098747} 180
- Result: {X=2.2400} 181
- SYLVESTER 182
- TABVAL(X^2+l,{1 2 3}) 183
- {{1 2 3},{2 5 10} } 183
- TCHEBYCHEFF 185
- TCOLLECT 185
- TEXPAND (LN( SIN (X-FY) ) ) 186
- TLIN(COS(X)"4) 186
- H (MATRICES) OPERATIONS 187
- (LN(X+i)) 187
- (sinx) +(cosx) = 1 188
- Page 14-66 189
- VANDERMONDE 190
- XNUM{ {TC/2,3*e, 4*C0S (2} ) 191
- 1.66458734619} 191
- XQ(.3658) 191
- 1829/5000 191
- Page 14-69 192
- Page 1-1 194
- Page 1-2 195
- Page 1-3 196
- Page 1-4 197
- HEWLETT' 199
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