joconnellmatrix - Matrix Operations on the TI-83/84 Written...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Matrix Operations on the TI-83/84 Written by Jeff O’Connell – Ohlone Colleg e http://www2 le2/joconnell/ti/ Entering a Mat rix: Press [2nd][MATRX] ( TI-83+/84) or [ MA TRX] (TI-83) to see a screen with a menu that looks as shown in screen 1. Th e d imensions on the right of the names show that there is a matr ix stored there. To enter a matr ix scroll to [ED IT] th en down to the matr ix name you wan t, press [ENTER]. You ar e then asked for the size of th e matr ix (rows ! co lumns), th en you may en ter th e values for each en try. Pressing enter af ter each value moves you to th e lef t until th e end of the row, pr essing en ter again mov es you to the n ext row . After th e matrix h as b een enter ed press [2nd][QUIT] to return to th e home screen. Once the matrix has been entered you can select the matrix from [NA MES] in the matrix menu. Th e rest of the examples w ill be in refer ence to th e matr ix shown in screen 2 . Screen 1 Screen 2 Row operat ions: The three row op erations can be found by pressing [ MA TRX], scrolling to [ MA TH] and scro lling dow n (or up). Examp les of row oper ations: Swap rows 1 and 2 ( R1 ! R 2 ) Multiply row 3 by 4 ( 4R3 ! R3 ) Add –4 times row 1 to row 2 ( !4 R1 + R 2 " R 2 ) Note 1: You must select the n ame of the matrix from the matrix menu. Pu tting squar e brackets around A will not call the matrix . Note 2: If you are do ing many row operations on th e same matr ix you should use [ANS] instead of th e name of th e matr ix af ter the first row operation. Row Echelon Form ( ref) and Reduced Row Echelon Form (rref) : Press [ MATRX], scro ll to [MATH], scroll down (or up) to select the d esir ed form fo llow ed by the n ame of the matr ix and press en ter. For example: Inverse Matrices: Select the name of the matr ix and pr ess [ x ]. Th e matrix A above is not inver tib le so w e consider !1 It is so metimes handy to conver t to fractions. Th is can be do ne by pressing [ MA TH] and selecting [ ! Frac]. This command works for any compu tation, not just w ith matrices. To convert B !1 to fr actions do as follow s: Addition and Multiplication: These op erations are done w ith th e regu lar multip lication and addition key s along w ith the names of the matrices. For ex amp le consid er matr ices [B] and [ C] sho wn in screen 3 with the computations in screen 4. Screen 3 Screen 4 ...
View Full Document

Ask a homework question - tutors are online