Manuals / HP / Computer Equipment / Calculator

HP 50g manual Vectors, Matrices and linear algebra

Models: 50g

1 184

Download 184 pages 36.34 Kb

Page 8

Addition, subtraction, multiplication, division, 7-2Functions applied to lists, 7-4

Lists of complex numbers, 7-4

Lists of algebraic objects, 7-5

The MTH/LIST menu, 7-5

The SEQ function, 7-7

The MAP function, 7-7

Reference, 7-7

Chapter 8 - Vectors

Entering vectors , 8-1

Typing vectors in the stack, 8-1

Storing vectors into variables in the stack, 8-2

Using the Matrix Writer (MTRW) to enter vectors, 8-3 Simple operations with vectors, 8-5

Changing sign, 8-5 Addition, subtraction, 8-5

Multiplication by a scalar, and division by a scalar, 8-6 Absolute value function, 8-6

The MTH/VECTOR menu, 8-6

Magnitude, 8-7

Dot product , 8-7

Cross product, 8-7

Reference, 8-8

Chapter 9 - Matrices and linear algebra

Entering matrices in the stack, 9-1 Using the Matrix Writer, 9-1

Typing in the matrix directly into the stack, 9-2 Operations with matrices, 9-3

Addition and subtraction, 9-4 Multiplication, 9-4

Multiplication by a scalar, 9-4 Matrix-vector multiplication, 9-5

Page TOC-5

Image 8

HP 50g manual Vectors, Matrices and linear algebra

Contents

HP 50g graphing calculator User’s manualPrinting History Preface Table of Contents Calculations with real numbers Calculations with complex numbers Algebraic and arithmetic operationsSolution to equations Operations with listsVectors Matrices and linear algebraGraphics Calculus ApplicationsMulti-variateCalculus Applications Vector Analysis ApplicationsDifferential Equations Probability DistributionsUsing SD cards Statistical ApplicationsNumbers in Different Bases Equation LibraryBatteries Chapter Getting startedBasic Operations Page Tool menu Contents of the calculator’s displayMenus Setting time and date Introducing the calculator’s keyboardALPHA-Left-Shift function, to enter the lower-case letter p Selecting calculator modes Operating Mode √ 3.*5.-1/3.*3./23.3+EXP2.5Page Lets try now the expression proposed earlier Fixed format with decimals Number Format and decimal dot or commaStandard format Scientific format Engineering format Decimal comma vs. decimal point Angle Measure Coordinate SystemSelecting CAS settings Explanation of CAS settings Selecting Display modes Selecting the display font Selecting properties of the line editorSelecting properties of the Stack References Selecting properties of the equation writer EQWChapter Introducing the calculator Calculator objectsEditing expressions in the stack Creating arithmetic expressionsPage Page Creating algebraic expressions 2L 1 + + 2 L + yUsing the Equation Writer EQW to create expressions + 2 ⋅ 5 + ⎛ x + 2 ∝ ⋅ ∆y ⎞ Organizing data in the calculator Home directoryTyping variable names VariablesSubdirectories Algebraic mode Creating variablesRPN mode Page Checking variables contents Deleting variables Listing the contents of all variables in the screenUsing function Purge in the stack in Algebraic mode Using function Purge in the stack in RPN mode Undo and CMD functions Choose boxes vs. Soft Menu@@OK@@ References Chapter Calculations with real numbers Examples of real number calculationsPage Using powers of 10 in entering data Page Hyperbolic functions and their inverses Using calculator menusReal number functions in the MTH menu Page Operations with units Units menuPage Available units Attaching units to numbersUnit prefixes Operations with units Unit conversions Physical constants in the calculator QuitPage Defining and using functions Reference Definitions Setting the calculator to Complex modeChapter Calculations with complex numbers Entering complex numbers Polar representation of a complex number Cmplx menu through the MTH menu Simple operations with complex numbersCmplx menus Forms the complex number x,y out of real numbers x Functions applied to complex numbers Cmplx menu in keyboardFunction Droite equation of a straight line Page Chapter Algebraic and arithmetic operations Entering algebraic objectsSimple operations with algebraic objects Functions in the ALG menu Collect Expansion and factoring using log-exp functions Operations with transcendental functionsExpansion and factoring using trigonometric functions Functions in the Arithmetic menu FACTORSSIMP2Polynomials Horner functionVariable Pcoef functionFractions Proot functionQuot and Remainder functions Peval functionSIMP2 function Propfrac functionPartfrac function Fcoef function− 5X 2 + 3X − Step-by-step operations with polynomials and fractionsFroots function Reference Function Isol Chapter Solution to equationsSymbolic solution of algebraic equations Function Solve Page Function Solvevx Function ZerosNumerical solver menu Finding the solutions to a polynomial equation Polynomial EquationsEnter vector of roots Financial calculations Generating an algebraic expression for the polynomialSolving equations with one unknown through Function SteqSolution to simultaneous equations with Mslv Reference Page Chapter Operations with lists Creating and storing listsOperations with lists of numbers Changing signAddition, subtraction, multiplication, division Page Lists of complex numbers Functions applied to listsLists of algebraic objects MTH/LIST menuPage SEQ function MAP functionPage Typing vectors in the stack Chapter VectorsEntering vectors Storing vectors into variables in the stack Using the Matrix Writer Mtrw to enter vectors Moving to the right vs. moving down in the Matrix WriterPress @GOTO@ 3@@OK@@ 3@@OK@@ @@OK@@ to move to position 3,3 Simple operations with vectors Addition, subtractionAbsolute value function MTH/VECTOR menuMultiplication by a scalar, and division by a scalar Cross product MagnitudeDot product Reference Entering matrices in the stack Using the Matrix WriterChapter Matrices and linear algebra Typing in the matrix directly into the stack Operations with matrices Multiplication by a scalar Addition and subtractionMultiplication Cij = ∑aik ⋅ bkj , for i = 1,2,K, m j = 1,2,K, n Matrix-vector multiplicationMatrix multiplication Raising a matrix to a real power Term-by-term multiplicationIdentity matrix Inverse matrixCharacterizing a matrix The matrix Norm menu Function DETFunction Trace TrA = ∑aiiSolution of linear systems Using the numerical solver for linear systems= ⎢1 ⎢x2Solution with the inverse matrix Solution by division of matricesReferences Chapter Graphics Graphs options in the calculatorPlotting an expression of the form y = fx = 1 exp− xPage Generating a table of values for a function Fast 3D plots Keep the default plot window ranges to read Reference Page Chapter Calculus Applications Calc Calculus menuLimits and derivatives Function limLim f Anti-derivatives and integrals Functions Deriv and DervxFunctions INT, INTVX, RISCH, Sigma and Sigmavx Xdx = F x + CDefinite integrals = ∑ Infinite seriesFunctions TAYLR, TAYLR0, and Series Reference Chapter Multi-variate Calculus Applications Partial derivativesMultiple integrals Gradient Chapter Vector Analysis ApplicationsDel operator Divergence CurlSolution to linear and non-linear equations Chapter Differential EquationsCALC/DIFF menu Function LdecPage Function Desolve Variable OdetypeLaplace Transforms Laplace transform and inverses in the calculatorFourier series Function FourierLf t= F s = 0∞ f t ⋅ e− st dt 2inπtFourier series for a quadratic function Reference Page Chapter Probability Distributions MTH/PROBABILITY.. sub-menu partFactorials, combinations, and permutations − r +Random numbers Student-t distribution MTH/PROB menu partNormal distribution Chi-square distribution F distributionChapter Statistical Applications Entering dataCalculating single-variable statistics Sample vs. populationObtaining frequency distributions Page Fitting data to a function y = fx 195238095238 + 2.00857242857*X Correlation CovarianceObtaining additional summary statistics Confidence intervals Page Hypothesis testing Page Reference Page Chapter Numbers in Different Bases Base menuWriting non-decimal numbers Formatting an SD card Chapter Using SD cardsInserting and removing an SD card Accessing objects on an SD card Storing objects on the SD cardRecalling an object from the SD card Purging an object from the SD cardPurging all objects on the SD card by reformatting Specifying a directory on an SD cardChapter Equation Library `#EQLIB #EQNLIStep 30 ##¢0#- L *!!!!!!V0!!!!!+ Reference Limited Warranty W-2 Service Europe Asia Pacific Country Telephone numbersAmerica Country Telephone numbers Regulatory information Federal Communications Commission NoticeCanadian Notice Korean Notice