Texas Instruments TI-73 Software Manual

Matrices

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6/26/01

Matrices

for the TI-73

Getting Started

Start here

How To...

Find Installation Instructions

Move Between Matrix Application Screens

View and Edit a Matrix

Use Matrices with Expressions

Display and Copy Matrices

Use Math Functions with Matrices

Use the Matrix MTH Operations

Delete a Matrix

More Information

Uninstalling the Application from the TI-73

Error Recovery

Customer Support

Table of Contents

Summary of Contents for Texas Instruments TI-73

Page 1 View and Edit a Matrix Use Matrices with Expressions Display and Copy Matrices Use Math Functions with Matrices Use the Matrix MTH Operations Delete a Matrix More Information Uninstalling the Application from the TI-73 Error Recovery Customer Support 6/26/01 © 1999, 2001 Texas Instruments...
Page 3: Where To Find Installation Instructions
Where to Find Installation Instructions You can find detailed instructions on installing Flash applications at education.ti.com/guides. Matrices for the TI-73 Page 3...
Page 4: Getting Started: Systems Of Linear Equations
Enter the coefficients as elements in a matrix, and then use to find the reduced row-echelon form. Steps 1. Run the Matrices application. 2. Display the menu, and select the matrix. Matrices for the TI-73 Keystrokes 9, highlight MATRICES and press b, then press any key " " 1...
Page 5 5. Complete the first row for X + 2Y + 3Z = 3. 6. Enter the second row for 2X + 3Y + 4Z = 3. 7. Display the screen. Matrices for the TI-73 Keystrokes Matrix Home Display Page 5...
Page 6 1X + 0Y N 1Z = L3 so X = L3 + Z 0X + 1Y + 2Z = 3 Y = 3 N 2Z Matrices for the TI-73 Keystrokes MATRIX MTH 9 " $$$$$$ B:rref(...
Page 7: Running The Application
2. Select the informational screen appears. Note If you ever need technical support, you may need the version number shown on this screen. 3. Press any key to display the screen. Matrices for the TI-73 application. An Matrices Matrix Menu Page 7...
Page 8: Quitting The Application
Matrices application are retained in memory. Matrices are stored as application variables (App vars). After quitting the application, you cannot use a stored matrix from the TI-73 Home screen; you must run the Matrices application to access a matrix or perform a matrix calculation.
Page 9 Matrices application. From this screen, you can also access most of the normal TI.73 menus. Matrices for the TI-73 The Matrices application starts on this screen. The Matrix Menu screen lets you access menus to: • Select matrix names...
Page 10: Viewing Online Help
Press " (next) and ! (back) to move through the Help, one page at a time. On the last page, " returns to the Matrix Menu screen. Matrices for the TI-73 on the screen. Matrix Menu At any time, press - l to exit Help and return to the Matrix Menu screen.
Page 11: Defining A Matrix
The Matrices application for the TI-73 has six matrix variables, depending on available memory, can have up to 100 elements in any arrangement of rows and columns (with a maximum of 99 individual rows or columns).
Page 12 • To accept the value, press b. • To change the value, type the number of rows and then press b. The cursor moves to the number of columns. Matrices for the TI-73 screen is displayed. Matrix Edit Sets the number of columns, up to 99.
Page 13 6. After entering the last element, press 9 to return to the Matrix Menu Matrix Home Matrices for the TI-73 In a new matrix, all elements are zero. To change a value, use !, ", #,...
Page 14 • On the first row, $ moves the cursor to the number of columns • On the number of columns, $ or ! moves the cursor to the number of rows. Matrices for the TI-73 screen, select the matrix. As necessary, use the Dimensions of the matrix.
Page 15 Note If you edit a value by mistake and want to restore the original value, press : b. Matrices for the TI-73 menu, and then enter or Matrix Edit Page 15...
Page 16 Clears the value on the bottom line. Any entry Places that character at the location of the edit cursor. character Activates the insert cursor. Deletes the character under the edit cursor. Matrices for the TI-73 Page 16...
Page 17: Home Screen
For example: [ [1,2] [3,4] ] Ü [A] are valid because they contain two matrix operations (the input matrix is created in the calculator’s memory, and so is the resulting output matrix). Matrices for the TI-73 [ [1,2] [3,4] ] ¦...
Page 18 * randM(3,3) Note These expressions cause an error because they contain three matrix operations (two input matrices and one result matrix). Matrices for the TI-73 Instead, enter: [ [1,2] [3,4] ] Ü [A] [ [5,6] [7,8] ] Ü [B] [A] +[B] [ [1,2] [3,4] ] Ü...
Page 19 Any expressions are evaluated when you press b. For example: To store a matrix directly to a matrix variable, use X. For example: Matrices for the TI-73 screen, use the syntax: element element The commas that you...
Page 20 On the screen, you can store a value to, or recall a Matrix Home value from, a specified matrix element. The element must be within the defined matrix dimensions. Use the syntax: matrix row,column Matrices for the TI-73 Page 20...
Page 21 To display the contents of a matrix on the select the matrix from the If the matrix is too large to be displayed on the screen, press ", !, #, and $ to scroll the matrix. Matrices for the TI-73 Matrix Home menu and then press MATRIX NAME in the right column indicates additional rows.
Page 22 3. Press X. 4. Press 9 again and select the name of the new matrix to which you want to copy the existing matrix. 5. Press b to copy the matrix. Matrices for the TI-73 menu. MATRIX NAME Page 22...
Page 23: Using Math Functions With Matrices
You can use matrices with many of the math functions on the TI-73 keyboard, the MATH relational operations available from the Text Editor. However, the dimensions must be appropriate. Each of the functions below creates a new matrix; the original matrix remains the same.
Page 24 . ¦ matrix value ¦ value matrix – (Negation) Returns a matrix in which the sign of every element is changed (reversed). matrix Matrices for the TI-73 Page 24...
Page 25 MATH NUM menu Returns a matrix in which every element in matrix is rounded to # decimals ( 9). If #decimals is omitted, the elements are rounded to 10 digits. round( matrix matrix #decimals round( Matrices for the TI-73 Page 25...
Page 26 To raise a matrix to a power, matrix must be square. You can square (6), cube ( integer power (7 power ) between 0 and 255. matrix matrix matrix power Matrices for the TI-73 from menu), or raise a matrix to any MATH Page 26...
Page 27: Relational Operations
≠ ≠ matrixB returns 1 if at least one comparison is false, or 0 if no comparison is false. Matrices for the TI-73 and ≠ ≠ operations perform an element-by- and ≠ ≠ False True...
Page 28 Returns a matrix containing the greatest integer of each element of matrix . matrix ) int( Matrices for the TI-73 return a matrix containing the integer part and For a negative non-integer, int( returns the integer that is one less than the integer part of the number.
Page 29 B: rref( C: rowSwap( D: row+( E: ¦row( F: ¦row+( G: [ H: ] Matrices for the TI-73 menu, press 9 ". Matrix MTH Calculates the determinant. Transposes the matrix. Returns the matrix dimensions. Fills all elements with a constant.
Page 30 Returns the determinant (a real number) of matrixname . The matrix must be square. det( matrixname T 2: Transpose Returns a matrix in which each element (row, column) is swapped with the corresponding element (column, row) of matrixname . matrixname Matrices for the TI-73 Page 30...
Page 31 Note If dim returns the number of columns. Matrices for the TI-73 ) of matrix . )Ü , then L returns the number of rows and You can press - v and then select L...
Page 32 Additional created elements are zeros. Matrix elements that are outside the new dimensions are deleted. rows,columns Matrices for the TI-73 }Üdim( matrixname { and } are available from the Text Editor...
Page 33 Fill( 4: Fill Matrix Elements Stores value to every element in matrixname . value,matrixname Fill( identity( 5: Identity Matrix Returns the identity matrix of dimension rows × dimension columns. identity( dimension Matrices for the TI-73 Page 33...
Page 34 Returns a rows × columns random matrix of integers ‚ L 9 and 9. The seed value stored to the function controls the values rand (Chapter 2 in the TI-73 Guidebook at education.ti.com/guides). randM( rows,columns augment( 7: Append Matrices Appends matrixnameA to matrixnameB as new columns.
Page 35 If you specify more listnames than the matrixname has columns, the additional listnames are ignored. Likewise, if you specify fewer listnames , the additional columns in the matrixname are ignored. Matrices for the TI-73 listnameA listname n You can press...
Page 36 List4matr( 9: Store List to Matrix Fills matrixname column by column with the elements from each list . If dimensions of all lists are not equal, matrixname row with 0. List4matr( listA Matrices for the TI-73 column # listname listN matrixname 3rd column in matrix [A].
Page 37 Row operations do not change the matrix in memory. You can enter all row numbers and values as expressions. You can select the matrix from the menu. Matrices for the TI-73 through , as described in the 2, 2+4, 2+4+6...
Page 38 The number of columns must be greater than or equal to the number of rows. matrixname rref( Matrices for the TI-73 ... indicates that the result extends beyond the screen. To scroll the result right or left, press " or ! at any time before you perform the next calculation.
Page 39 D: Row Addition Adds rowA and rowB of matrixname , stores the sum in rowB , and returns the new matrix. matrixname row+( Matrices for the TI-73 rowA rowB rowA rowB From the original matrix, rows 2 and 4 are swapped.
Page 40 Multiplies rowA of matrixname by value , adds it to rowB , stores the results in rowB , and returns the new matrix. ¦ row+( value matrixname Matrices for the TI-73 From the original matrix, row 1 is multiplied by 2 to create this new row 1. rowA rowB...
Page 41 Let you enter a matrix directly from the screen. For Matrix Home example: Ü , press X. [ [1, 2, 3] [3, 2, 1] ] Ü [B] You can also press & and ' to type directly from the keyboard. Matrices for the TI-73 Page 41...
Page 42 4:Delete 4. Select 9:AppVars variables on a TI.73, they are stored as application variables.) 5. Use # and $ to move the 4 pointer to the applicable matrix name. On this calculator screen, matrix names are shown as MATA and...
Page 43 To uninstall the application and delete it from the calculator’s memory: 1. Quit the Matrices application (- l). 2. Press - Ÿ. 3. Select 4:Delete 4. Select 8:Apps 5. Select Matrices 6. Select 2:Yes application. If you retained the application file on your computer, you can reinstall it later.
Page 44: Low Battery Condition
Communication Error This error indicates the Flash installer is unable to communicate with the TI-73. The problem is usually associated with the TI-GRAPH LINK™ cable and its connection to the TI-73 and/or to the computer. Make sure the cable is firmly pushed in to the calculator and the computer.
Page 45 64K of space. To make room for another application, you must delete one from the TI-73. Before deleting an application, you can back it up to your computer so that you can reload it later as necessary.
Page 46: Checksum Error
Miscellaneous Error Received Write down the error code displayed in the dialog box and contact TI-CARES. Checksum Error Exit the installation and try it again. If this problem persists, contact TI-CARES. Matrices for the TI-73 Page 46...
Page 47: Verify Flash Application Version
If you obtain new or upgraded software for your TI-73, you may need to provide your current software version and/or the serial number of your unit. It is also good to know your version number in case you have difficulties with your TI-73 and need to contact technical support.
Page 48: For General Information
Customers in the US, Canada, Mexico, Puerto Rico, and Virgin Always contact TI Customer Support before Islands: returning a product for service. All other customers: product (hardware) or contact your local TI retailer/distributor. Matrices for the TI-73 ti-cares@ti.com 1-800-TI-CARES (1-800-842-2737)
Page 49: End User License Agreement
BY INSTALLING THIS SOFTWARE YOU AGREE TO ABIDE BY THE FOLLOWING PROVISIONS. LICENSE: Texas Instruments Incorporated (“TI”) grants you a license to use and copy the software program(s) (“License Materials”) contained on this diskette/CD/web site. You, and any subsequent user, may only use the Licensed Materials on Texas Instruments calculator products.
Page 50 Using Math Functions with Matrices... 23 Using the Matrix MTH Operations ... 29 Deleting a Matrix... 42 Uninstalling the Application from Your TI-73 ... 43 Error Recovery Instructions... 44 Miscellaneous ... 47 Texas Instruments (TI) Support and Service Information... 48 End-User License Agreement ...

Texas Instruments TI-73 Software Manual

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