Hp 48G Instrukcja Użytkownika Strona 98
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Lesson 34: Linear Algebra
The HP 48 includes a number of useful linear algebra commands
in (die MTH MATRIX command menu. You will find commands
for finding the determinant, inverse, transpose, rank, trace, spectral
radius and norm, condition number, eigenvalues, and eigenvectors of a
matrix. Additionally, you can compute the reduced row echelon form
of a matrix and decompose appropriate matrices using any of several
different decompositions (LU, LQ, QR, Schur, and single-value).
While you should consult chapter 14 of the HP .¡SC! S fries User's
Guide for details about these commands, try the following example as
Find the eigenvalues and eigenvectors of matrix A:
-2 2 -;r
,4=2 1-6
-1 -2 0
Exiiiiiple;
Step 1: Using the Matrix Writer, enter matrix A onto the stack.
(x£)
2 P7T| (enter 1 2 (ENTER) 3 (^^
(ENTER) (▼] 2(ENTER) 1 (ENTER)
6 (Tn (ENTER) 1 (V-1 (ENTER) 2
UGU] (ENTER)0 (ENTER)
(ENTER)
1: [[ -22-3]
[21-6]
[ -1 -2 0 ]]
UaMiianMialiiHaBtniaBmTiasraa
Siep 2: Find the eigenvectors and eigenvalues of the matrix.
(MTH) (NXT)
2: [[ 1 .5 1 ] [ -.2.,.
1: [ -3 5 -3 ]
The eigenvectors are shown on level 2 and the eigenvalues on level 1.
The related command, EGVL, computes only the eigenvalues.
7-14 Calculus, Statistics and Advanced Mathematics
- Start Guide 1
- Regulatory Information 2
- HP Part No. 00048-90126 3
- Printed in Singapore 3
- Edition 5 3
- Acknowledgements 4
- Edition History 4
- Contents-1 5
- Contents-2 6
- Contents-3 7
- Start Here 1-1 9
- About the Quick Start Guide 10
- Lesson 1: Getting Ready 11
- Setting the Time and Date 12
- Introducing the HP 48 2-1 13
- 2-2 Introducing the HP 48 14
- Envisioning the Stack 15
- 2-4 Introducing the HP 48 16
- Introducing the HP 48 2-5 17
- { HOME > 18
- (ENTER), or 19
- (CANCEL) 19
- (ENTER), or (CANCEL) 19
- Special Characters 20
- Lesson 4: Using Menus 21
- \/x'’ -f 5 22
- MalrirWrHer entry 23
- Application Environments 24
- Solk^e я'-1зс1,., T 25
- Introducing the HP 48 2-13 25
- Using External Programs: (g) 26
- Using Built-In Equations: O 26
- ■iid№giat5M5iatti;ia»«Mi 27
- Introducing the HP 48 2-15 27
- Arithmetic 29
- (ENTER) 1.2 (ENTER) 30
- : .0025 31
- : 350.174049835 31
- 1: 17.2413793103 32
- 350.174049835 32
- \ ^\ 33
- (A) key 34
- Functions 35
- 1666666666? 36
- '13-^6' 36
- 1= 'EXPC-a*x)' 37
- 'l-EKPC-a*x)' 37
- 1: (3,4) 38
- (5.39^158.2) 38
- S) 9 4 (ENTER) 39
- 4 PTC) f^-) 3 39
- Q 2 (o 40
- Converting Units 42
- 1: 3.5_N*P1 43
- V>^mg Pterin-ary 45
- 11 (using fSTO )) 48
- Step 2: Enter the name tl 48
- 1: 1.73205080757 49
- ®(S® MOVE 51
- 52
- 'HP 48G4" 52
- ■"■■CHK 53
- Solving Equations 5-1 55
- BiaiaHTiTiTHHB 56
- 5-2 Solving Equations 56
- EQUftTIDN^^« 57
- Solving Equations 5-3 57
- Discontinuity 58
- Solving Equations 5-5 59
- A: gilBi№ i 60
- 1: 'TH=Q©/fl+TL' 61
- 5-8 Solving Equations 62
- [112-53-6] 63
- Solving Equations 5-9 63
- I'- Roots' 64
- Equations 65
- SOLVE SVSTEM 66
- Plotting Egyatioii-s and 67
- CD iS^ (ENTER) 68
- Function 69
- X H-VIEN: “6.5 69
- TVPE; Function [ggBB 69
- 0= Df It Hi: Df It 70
- 10 V-TICK: 10 ¿PIKELS 70
- '2*SIN<„ 71
- CHOnSE TYPE gp PLDT 72
- Dimensions 73
- TVPE: Nireframe Rad 74
- 74
- -2 2E: 1 75
- HP 48 Plot Types 76
- IlilLiliilliiUi,. 77
- T . Ml.- 77
- ‘^lll 1' ^ I'l ‘ 77
- HP 48 Plot Types (continued) 78
- (F(u,f) = 78
- U, v)j + c( ti, tt)k) 78
- ClJ ly C±D ©X O 4 79
- ©X (ZD 2 © © ©X Q 4 79
- R 0 0" 80
- ,,,A' 80
- F C H S L. 0 P E 81
- 3= Slope: .072 82
- £: TanLine: 'Y=-l.i01„ 82
- C. 159483706477,-3 82
- X-values you designate 83
- Symbolic 87
- Lesson 30: Finding Integrals 88
- IBQZHIBiM 89
- '^'Im 91
- ■ ■ ■^-2711 91
- TYPE: Sample 92
- 93
- I FIT DfiTfli 93
- Correlation: .987Z„ 94
- 1: Couariance: 94
- 0 2 ® Y (zD 2 95
- £: Tolerance: 96
- 1: Solution: 96
- . 1£3076920%9 96
- (EEX) 7 fENTER) 97
- (ENTER) 8 (ENTER) (Q 97
- (ENTER) 1 (ENTER) 97
- 2: [[ 1 .5 1 ] [ -.2. 98
- 1: [ -3 5 -3 ] 98
- Special Features 8-1 99
- 2. Receiver 100
- ■3. Sender 100
- Equation Library 101
- KiïïwnBtauoaBjHiiSÉiaiiMifl 102
- u0= £5.44-pi--'5 103
- { vq ) , and then 104
- 3. Pms^O (NXT)HTTFiC 105
- To use a library, it must be: 106
- If Things Go Wrong 107
- (or any other key) 107
- Lesson 39: Troubleshooting 108
- ■ Reset hole 109
- HP 48G Senes User’s Guide 110
- Contacting Hewlett-Packard 115
- Contents 116
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