We will now use the power of technology to solve larger problems than we have addressed previously. In this tutorial you will use the TI-83 to do lengthy matrix calculations efficiently. 13.1 MATRIX TERMINOLOGY AND OPERATIONS It is simple to enter matrices on the TI-83. Before beginning these examples, you may wish to delete existing matrices from memory.* The [CLEAR] key clears the screen. Example 1 (Creating a Matrix) Key to Press* Purpose [MATRIX] Then use arrow key to move cursor to the right until EDIT is highlighted. Displays a menu to create and edit matrices.
Cursor position at 1: [A] indicates we wish to create matrix A. If you wish to create matrix B, C, etc., move the cursor down with the arrow key. Screen 1 [ENTER] The 1 x 1 indicates that we are creating a 1 by 1 matrix. Screen 2 [3] [ENTER] [2] [ENTER] Changes the dimension of matrix A to 3 x 2 and positions the cursor at the 11-entry of A. Screen 3 [5] [ENTER] [3] [ENTER] [2] [ENTER] [4] [ENTER] [6] [ENTER] [8] [ENTER] Places 5,3,2,4,6,8 as entries in A row by row. Screen 4 [2nd] [QUIT] We return to home screen. [MATRIX] [ENTER]Puts [A] on home screen* [ENTER] Shows entries of matrix A Screen 5 * To delete existing matrices do this: Press [2nd][mem], select [2], then select [5]. A list of existing matrices will appear. Delete each matrix and then exit to main screen by pressing [2nd] [quit]. * Any symbol enclosed in square brackets, [ ], indicates a key to be pressed on the TI-83. * You must follow the steps as we have specified. If you type the individual symbols “[" "A" and "]“, that will not have the same effect as pressing [MATRIX] and [RETURN]. Example 2 (Editing a Matrix) At this point, we have created matrix A = ? ? ? ? ? ? ? ? ? ? . If we wish to change some entries, say replace the 4 with a 17 and the 8 with a 9, we proceed as follows. Key to Press Purpose [MATRIX] Then move cursor to right until EDIT is highlighted. [ENTER] Indicates that we wish to edit matrix A Screen 6 Use arrow keys to position cursor on the 4 [1] [7] [ENTER] Replaces the 4 by 17 for the 22- entry of A Use arrow keys to position cursor on the 8 [9] [ENTER] Replaces the 6 by 9 for the 32- entry of A Screen 7 [2nd] [QUIT] Returns to main screen. Old matrix A still is displayed from before we did edit. [MATRIX] [ENTER] Puts “[A]” on home screen [ENTER] Shows entries of new matrix A Screen 8.
Download MATRIX COMPUTATIONS ON THE TI-83 TI-83 Tutorial for Matrices.
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