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Sharp EL-9900 Special Matrix Operations, Calculations using OPE menus, Dim dimmatrix name

Models: EL-9900

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Chapter 8: Matrix Features

4. Special Matrix Operations

This calculator has three Matrix calculation menus: OPE, MATH and [ ].

Examples of each calculation are as follows:

Calculations using OPE menus

01 dim( dim(matrix name)

Returns the dimensions of the specified matrix.

Example

•Check the dimensions of mat A.

•Newly define or change the dimensions to 2 ⋅ 3 for

Mat C.

02 fill( fill(value, matrix name)

Fills each element with a specified value.

Example

•Enter the value 5 into all the empty elements of matrix C.

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Image 135

Sharp EL-9900 Special Matrix Operations, Calculations using OPE menus, Dim dimmatrix name, Fill fillvalue, matrix name

Contents

EL-9900 For Your Records Their respective holders IntroductionReversible Keyboard Basic ModeAdvanced Mode Default mode Contents Chapter Slide Show Feature 115 Chapter Matrix Features 120Chapter Chapter Statistics & Regression Calculations 145 Chapter List Features 131Chapter Financial Features 183 Chapter Solver Feature 194Chapter Programming Features 202 Chapter Option Menu 222Appendix 228 265 IndexCaring for Your Calculator Before Use Getting StartedDisplay contrast Using the Hard CoverAdjusting Calculator OFF Automatic power off functionMain Unit Part Names and FunctionsDisplay screen Power ON/OFF keyBasic Operation keys Reversible KeyboardGetting Started Example Basic Key OperationsTo change Keyboard Changing the KeyboardQuick Run-through Basic Mode Basic → AdvancedAdvanced → Basic Set up the calculator before calculation Enter fractions Change answer 1. Press @ Mode from Fractions to Decimals Basic Key Operations Standard Calculation Keys How to switch the keyboardOperating the Graphing Calculator Basic / Advanced KeyboardNegative value Entering numbersNumber entry Example Entering aPerforming standard math calculations Cursor BasicsMethod About the Insert Editing EntriesCursor naviga TionSecond Function Key Alpha Key Math Function Keys Math Function keys for Basic keyboardMath Function keys for Advanced keyboard Common Math Function Keys for both keyboards Examples MATH, STAT, and Prgm Menu Keys Calculator’s then . configuration Setup MenuSetup Menu Items Operating the Graphing Calculator Precedence of Calculations 10 + Error MessagesUsing the reset switch Resetting the CalculatorSelecting the Reset within the Option menu Try it Basic Calculations Basic KeyboardConcept ProcedureSubtraction Arithmetic KeysPerforming AdditionEntering a number with a negative value When to leave out the ⋅ signSpecifying no common factor Calculations Using Various Function KeysSpecifying a common factor Example RAA E RAB E AA +AB E Functions SecondRAC E Example Calc Calculations Using Math Menu ItemsDegrees RadiansAbs absvalue NUMInt int value Round roundvalue , digit number of decimalsIpart ipart value Fpart fpart valueGcd gcdnatural number, natural number Min minlistMax maxlist Lcm lcmnatural number, natural numberRndInt rndIntminimum value, maximum value , number of trial Remain natural number remain natural numberProb Random random number of trialRndDice rndDice number of trial RndCoin rndCoin number of trialConv Angle = 3.5 + Basic Graphing Features Basic KeyboardBasic Graphing Features Basic Keyboard Graph Basics Explanations of Various Graphing KeysZoom To select a box area to zoom EXP Factor menu, press Eto activate the setup toolPower FactorTrig STORCL Basic Graphing Features Basic Keyboard Other Useful Graphing Features Following illustration shows these relationships Basic Graphing Features Basic Keyboard Basic Graphing Features Basic Keyboard Basic Graphing Features Basic Keyboard Substitution feature Example Basic Graphing Features Basic Keyboard Advanced Calculations Advanced Keyboard Various Calculation Keys Example Calculate arctangent @t1 E 01 log2 log2 value Calculations Using Math MenuEquation, lower limit, upper limit , tolerance dx Fminequation, lower limit of x, upper limitFmaxequation, lower limit of x, upper limit Dxequation, value of x , toleranceCot value ∑ expression, initial value, end value , incrementSec value Csc valueSinh-1sinh-1value Cosh-1cosh-1valueTanh-1tanh-1value Rectangular/polar coordinate conversion →dms value degrees →dmsRθ→y rθ→yr coordinate, θ coordinate Xy→r xy→rx coordinate, y coordinateXy→θ xy→θx coordinate, y coordinate Rθ→x rθ→xr coordinate, θ coordinateAdvanced Calculations Advanced Keyboard Value a and value B Or value a or value BNot not value Conj conjcomplex number Neg neg valueXor value a xor value B Xnor value a xnor value BAbs abscomplex number Calculations using complex numbersReal realcomplex number Image imagecomplex numberMore Variables Single Value Variables and List Variables Functions available for complex number calculationsAbs, round, ipart, fpart, int Tool Menu Advanced Calculations Advanced Keyboard Setup Menu Un = un-1⋅ 1 0.6 + Advanced Graphing Features Advanced KeyboardAdvanced Graphing Features Advanced Keyboard Advanced Graphing Features Advanced Keyboard Graphing Parametric Equations Use 3 in or 4 OUT of the a Zoom to adjust the drawing sizeDraw a graph r = 16cosθsinθ Polar GraphingBased Time Graphing SequencesPhase-based uv, uw, or vw Based WebExample 1 n-based Graphing Time Example 2 Phase-based Graphing uv Example 3 n-1-based Graphing Web Calc Function Specific sub Menus Inflec AdvancedAdvanced keyboard specific sub-menus Format SettingSpecific sub Menu items Menus Zoom FunctionsHYP Polar coordinate system Setting a WindowRectangular coordinate system Parametric coordinate systemTables Setting a table 101 Draw Function Draw menu Line104 HLine Example HlineVline HLine y-valueTline Example TlineVLine Example Tlineequation, x-valueShadeequation1, equation2 , lower value, upper DrawDraw equation ShadeCircle Example DrawInv DrawInv equationColumn and row definitions for text input Text Textcolumn, row, stringsPxlONcolumn, row PntON PntONx-coordinate, y-coordinatePntOFFx-coordinate, y-coordinate PntCHGx-coordinate, y-coordinatePxlTST PxlTSTcolumn, row DrawON DrawON equation number 1, .... or DrawONDrawOFF DrawOFF equation number 1, .... or DrawOFF RclGD RclGD number StoGD StoGD number 0-9Saves the graph data ExampleStoPict StoPict number 0-9Saves the pixel data Example Substitution Feature Slide Show Feature Create a newSlide Show Enter x 3x 1x + 2 at the first equation Select a file Select an image Playing back the newly created Slide ShowRearranging the captured images Move Slide Show menuSpecify Insertion pointRename DEL3x + 2y + z = 2x + 3y + z = 34 x + 2y + 3z = Matrix FeaturesTo edit DimensionsProblem Select a matrixEntering and Viewing a Matrix Editing keys and functions Enter elementsMatrix Matrix + Matrix Matrix Matrix Matrix ⋅ Matrix Square Normal Matrix OperationsFill fillvalue, matrix name Calculations using OPE menusSpecial Matrix Operations Dim dimmatrix nameRndmat rndmatnumber of row, number of column Identity identity dimension valueCumul cumul matrix name Augment augmentmatrix name, matrix nameRowswap rowswapmatrix name, row number, row number Rowplus rowplusmatrix name, row number, row numberRowmult rowmultmultiplied number, matrix name, row number Mat→listmatrix name, list name 1, ..., list name n Mat→listmatrix name, column number, list nameList→mat list→matlist 1, .... list n, matrix name RowEF rowEF matrix name Calculations using Math menusDet det matrix name Trans trans matrix nameAn expression Use of menusList Features Concept ProcedureEnter each speed value in the list Equation using Store the listEnter Normal List Operations Creating a listCalculate Press @+@ Root of L2 SortD sortDlist name Calculations using the OPE menu functionsSpecial List Operations SortA sortAlist nameDim dimlist Natural number ⇒ dimlist nameFill fillvalue, list Dflist dflist list Cumul cumul listList→mat list→matlist 1, ..., list n, matrix name Augment augmentlist 1, listMean meanlist , frequency list Median medianlist , frequency list Sum sumlist , start number, end numberProd prodlist , start number, end number Varian varianlist , frequency list Drawing multiple graphs using the list functionStandard deviation and variance StdDv stdDvlist , frequency listStoLD StoLD natural number Using Ldata functionsUsing List Table to Enter or Edit Lists How to enter the listRclLD RclLD natural number How to edit the list Statistics & Regression Calculations Opening the list Press S Table to enterData Statistics & Regression Calculations Whether SettingGraph drawing Selecting148 Stat menus Statistics FeaturesStatistical evaluations available under the C Calc menu Statistical calculations using the Monday data L3 Statistical calculations using the Sunday data L2152 Histogram Statistical graph types overview chartGraphing the statistical data Graph TypesNormal probability plot N.P Normal distribution plot N.D Box plot Box Modified box plot MBox Pie chart PIE Scatter diagram S.D XY Line Xyline Specifying statistical graph and graph functions Statistical plotting on/off functionPress DD Limit and press 22 LimON Trace function of statistical graphs TracingGraph SetList SetList list name 1 , list name Data list operationsSortA sortAlist SortD sortDlistRegression Calculations 161 162 Using Regression Functions 15 x’ value or list x’16 y’ value or list y’ Press #CSD0404 Rgx2 Start a statisti Cal test Press see Test Statistical Hypothesis TestingAbout Residual listZint1prop and 15 Zint2prop 167 168 169 170 171 172 Ztest1prop Tests the success probability P0 of a population 174 175 176 Distribution functions InvNorm InvNormprobability , mean, standard deviation 07 cdfχ2 cdfχ2lower limit, upper limit, degree of freedom CdfT cdfTlower limit, upper limit, degree of freedomFreedom of denominator 181 Cdfgeo cdfgeosuccess probability, value Cdfpoi cdfpoimean, valuePaper Financial FeaturesFlow diagram on Draw a cashPayment due at the beginning of the period Payment due at the end of the periodPress CC Period Press 11 PmtEnd and press E Setting the payment due timeSimple interest and compound interest Set the TAB FSE 2 and FIX Respectively 188 SlvPV N, I%, PMT, FV, P/Y, C/Y Calc functionsSolvpmt N, I%, PV, FV, P/Y, C/Y SlvI% N, PV, PMT, FV, P/Y, C/Y190 Bal Bal number of payments , decimal place to round Example using the 08 CalculationsConversion functions 11 →Apr →Apr effective interest rate, number of settlements12 →Eff →Eff nominal interest rate, number of settlements Vars Menu Solver Feature Three Analysis Methods Equation, Newton, and GraphicEquation Solver Feature Newton’s 197 198 199 Saving/Renaming Equations for Later Use Recalling a Previously Saved Equation Exec Programming FeaturesCreating a new ProgramProgramming Features Programming Hints Blank line Command orStoring a Program line byComparison operands Setting a variableVariables OperandsPrint character strings Programming commandsCommand strings Prgm menu PAFollowing table Rem Rem commentsKey variable Is set to the corresponding numeric value as specifiedBrnch menu PB Scrn menu PCO menu PD Setup menu PE Format menu PF Tab integer 0 to06 Y’ OFF Y’OFF 212 Plt1graph type, X list name , Y list name, frequency list Splot menu PGIf If conditional statements Goto label name Flow control toolsWEnd NextCopy menu PH Other menus convenient for programmingVars menu Value Debugging When an infinite Loop occurs Sample programsMatfill 221 Checking the memory usage Accessing the Option MenuAdjusting the screen contrast Option MenuCreated Linking to another EL-9900 or PC Deleting files225 226 Transmission between the EL Reset functionAppendix Replacing BatteriesHandling Procedures for Replacing unitOperation 230 Graph cannot be seen Troubleshooting GuideCalculator’s power won’t turn on Saved calculator configurations are not retainedScreen images cannot be stored Slide Show Specifications Power supply Substitution featuresSlide Show features Program featuresError Codes and Error Messages Break PV calculation Error Conditions Relating to Specific TasksFinancial % calculationPMT calculation FV calculationDistribution function Error conditions during financial calculationsDf = However Γs = 0 x s 1 e x dx Df Degree of freedom Calculation Range Arithmetic calculationFunction calculation Function Calculation range ⋅ 10-99≤ x 1 ⋅ Ln x = loge Log Xy → θ = tan-1 Function Calculation range Σx 1 ⋅ Complex number calculation Catalog Feature List of Menu/Sub-menu Items Math menusMcalc Mangle MnumMprob MconvMcomplex List menusMineq Mlogic@lLDATA @lMATHSEDIT/OPE ScalcSreg Sdistri StestStat Plot mode HIST/B.L./N.P./N.D./BOX/PIE/S.D./XYLINE Stat Plot menusPLOT1/PLOT2/PLOT3/LIMIT/ON/OFF @dDRAW Draw menusZzoom Zoom menus@dPOINT @dON/OFF/LINE/GDATA/PICT/SHADEFACTOR/POWER Calc menus ZHYP/STO/RCL@kCALC Prgm menus Pin the Prgramming mode PrgmPin the Prgramming mode Brnch Slide Show menusPin the Prgramming mode Scrn Pin the Prgramming mode I/OPin the Prgramming mode Setup Pin the Prgramming mode Splot Pin the Prgramming mode Format@mEDIT Pin the Prgramming mode CopyMatrix menus @mNAMEFinance menus @mMATH@gSOLVER/CALC @VN BASE/SYSTEM/POLY Tool menus@gPERIOD @gVARSSolver menus @in the Solver mode METHOD/EQTN/SAVE/RENAMEIndex 266 267 268 269 270 271 272 Europe Sharp Corporation