User manual CASIO FX-500

[. . . ] Do not skip it! P P button k Resetting the Calculator to Initial Defaults Perform the operation below to return the calculator to its initial default settings. Note that resetting the calculator will also delete all data currently stored in its memory. To reset the calculator to initial defaults 1. · This causes the "Reset All?" confirmation message to appear. · If you do not want to reset the calculator to initial defaults, press J(No) instead of E(Yes). [. . . ] 456 z ­ {MATRIX}4(Trn) Mat B ) E A Inverting a Matrix You can use the procedure shown below to invert a square matrix. a11 ­1 = 1 a11 a22 ­a12 a11 a12 ­1 ­a21 a11 = a21 a22 a11a22 ­ a12a21 E-64 a11 a12 a13 a21 a22 a23 a31 a32 a33 Important! ­1 = a22a33 ­ a23a32 ­a12a33 + a13a32 a12a23 ­ a13a22 ­a21a33 + a23a31 a11a33 ­ a13a31 ­a11a23 + a13a21 a21a32 ­ a22a31 ­a11a32 + a12a31 a11a22 ­ a12a21 a11a22a33 + a12a23a31 + a13a21a32 ­ a13a22a31 ­ a12a21a33 ­ a11a23a32 · Matrix inversion is supported for a non-zero square matrix only. Example: To invert the matrix 50 This example assumes that Mat C contains 1 ­2 . 50 Mat C !)(x )E ­1 A Squaring a Matrix You can use the procedure shown below to square a matrix. Important! Use the x key to specify the squaring operation. 50 Mat C xE Sequence Calculations (RECUR) To perform the example operations in this section, first select RECUR (N6) as the calculation mode. k Sequence Calculation Overview You can use either of the two following sequence types to create a sequence table. 1 an Type Sequence With this sequence type, you input the general term of the sequence (an = f (n)), along with a sequence start value and end value. 2 an+1 Type Sequence With this sequence type, you input the recursion formula for two-term recursion (an+1 = f (an)), along with a sequence start value and end value. E-65 A Selecting the Sequence Type To select this sequence type: Perform this key operation: z ­ {TYPE}1(an) z ­ {TYPE}2(an+1) an Type an+1 Type A Sequence Editor Screen Either of the sequence editor screens shown below appears immediately after you enter the RECUR Mode and select the sequence type. Use this screen to input the expression that defines the expression (general term or recursion formula). an Type Example 1: To input an+1 = an + n + 1 an+1 Type Inputting a Formula on the Sequence Editor Screen z ­ {TYPE}2(an+1) z2(an)+z1(n)+1 Example 2: To input an = n + 5 z ­ {TYPE}1(an) z1(n)+5 Note To clear the screen during input, press o. A Table Range Screen Pressing E to register the formula you input on the sequence editor screen displays either of the table range screens shown below. an Type Sequence an+1 Type Sequence Use this screen to specify the start value (Start) and end value (End) of n for sequence table creation. Specifying the Initial Term, Start Value, and End Value 1. On the table range screen, use c and f to move the highlighting to the setting you want to change. · Pressing J during input will discard everything you have input up to that point, and restores the values that were previously input on the screen. E-66 3. If you input expressions, the calculation result of the expression is registered. · While any setting is highlighted, press E to display the sequence table screen (page 67). Returning to the Sequence Editor Screen from the Table Range Screen Press J. A Sequence Table Screen When you press E in step 3 under "Specifying the Initial Term, Start Value, and End Value", the calculator will perform the sequence calculation in accordance with the formula (general term or recursion formula), initial term, start value, and end value that you have input, and display the result on the sequence table screen. an Type Sequence an+1 Type Sequence · Each of cells on the sequence table screen shows up to six digits of the value currently stored in the cell. Up to six digits of the input value will be displayed in the cell when you press E. · You can input a value or calculation expression into each cell. If you input a calculation expression, pressing E will execute the calculation and display only the result in the applicable cell. · To edit the contents of a cell, use the cursor keys to move the cursor to the cell and then input what you want. E-71 Pressing E while the coefficient editor is displayed will display the solutions of the equation. k Viewing Equation Solutions Equation solution · You can use c and f to scroll forward and back through the solutions. · You can also press E while a solution is displayed to cycle through all of the other available solutions. Pressing E while the final solution is displayed will return to the coefficient editor screen. · To exit the solution screen and return to the coefficient editor screen, press J. · The display format of the solutions depends on the setup's display format settings and complex number display format settings. Statistical Calculations (SD/REG) Perform statistical calculations in the SD Mode or REG Mode. The SD Mode is for singlevariable statistical calculations, while the REG Mode is for paired-variable regression calculations (linear, quadratic, logarithmic, e exponential, ab exponential, power, inverse). k Statistical Sample Data Except for the number of variables, the procedure for inputting sample data is the same for both the SD Mode and the REG Mode. Use the STAT editor list screen to input sample data. SD Mode STAT editor REG Mode STAT editor The applicable STAT editor screen appears first whenever you enter the SD Mode (, 3) or REG Mode (, 4). A Sample Data Input Methods You can input sample data either with statistical frequency turned on (FreqOn) or off (FreqOff). You can select the input method you want to use with the setup screen statistical frequency setting (page 13). [. . . ] · To overwrite the file currently in receiving unit memory with the program or file being sent, press 1(Yes). · Check the range specification and make the required corrections. Memory Full Already Exists · During data communication, a program or file name in the data being sent already is used in receiving unit memory. In the TABLE or RECUR Mode: · The table range specification is wrong. · An attempt is being made to create a table with more than 199 lines. [. . . ]