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# Ch4 Matrices - How to use the Calculator

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• 1. Chapter  4  Calculator  Work  –  Matrices     Entering  a  Matrix  on  your  TI-­‐84  graphing  calculator:   Enter  in  the  following  matrix:   " −3 4 0 % \$ ' \$ 2 −5 1 '   \$ 0 2 3 ' # & 1.  From  the  home  screen   go  to  the  matrix  screen   and  edit  matrix  A   Press   This  screen  will   appear   When  you  arrow  over  Edit  will   be  highlighted.    Then  press  enter   2.  Enter  in  the  dimensions   of  the  matrix:   (rows  x  columns)   At  this  screen,   enter  in  the   matrix   dimensions     When  this  screen  appears,   enter  in  the  matrix   elements
• 2. 3.  Enter  in  the  numbers  of   the  matrix:   Remember  to   press  enter  to   move  to  the  next   space.    The   elements  are   entered  from   left  to  right.     The  key  combination   starts  here  after  you   enter  in  the  dimensions.     To  evaluate  the   determinant:   Once  the  matrix  is  entered   quit  to  go  to  the  home   screen.                     Go  back  to  the  matrix   screen  then  arrow  over  to   MATH                   Home  Screen   Enter  Key   Combination
• 3.     Press  enter  to  select  1:det(   which  stands  for   determinant.               Go  back  to  the  matrix   screen.    Press  enter  to   select  matrix  A                 This  screen  will  appear.   Press  enter  again.               This  will  give  you  the   answer  for  finding  the   determinant.   This  screen  will   appear  after  you   press  enter   Matrix  Screen   Answer   To  evaluate  the   inverse:   Once  the  matrix  is  entered   Quit  to  go  to  the  home   screen.     Go  back  to  the  matrix   screen  then  press  enter  to   select  matrix  A.
• 4.         This  screen  will  appear.               Without  changing  screens,   press  the  inverse  key.                                           A  -­‐1  will  appear  in  the   superscript.     Press  enter.                   After  you  press  enter  the   following  screen  will   appear.           Inverse  Key
• 5.   To  change  from  decimals   to  fractions  select  the   Math  Key                                           The  following  screen  will   appear.    Make  sure  1:Frac   is  highlighted.  Then   press  enter.   (Frac  stands  for  fraction)                 After  pressing  enter,  the   following  screen  will   appear.    Press  enter  again.   (Ans  stands  for  Previous   Answer)
• 6.     Once  you  press  enter,  the   decimals  will  change  to   fractions.     The  following  is  the   Inverse  Matrix.   Answer       Solving    a  system  of  equations  using  the  calculator   Solve  the  following  system:   ⎧ x + 5 y + 5 z = −10 ⎪ ⎨ x + y + z = 2 ⎪ x + 2 y + 3 z = −3 ⎩     Write  the  system  as  an   augmented  matrix     Enter  in  the  matrix  in  the   Edit  Screen  in  the  Matrix   Screen                               Quit  and  go  to  the  home   screen.             " 1 5 5 −10 % \$ ' \$ 1 1 1 2 '   \$ 1 2 3 −3 ' # &
• 7.       Then  go  to  the  Matrix   Math  Screen.                             Arrow  down  to  B:rref(   Press  enter.             This  screen  will  appear.                       Next  go  the  Matrix  Screen   and  select  Matrix  A  by   pressing  enter             This  screen  will  appear.   Press  Enter             Arrow  over  to   the  Math  Menu     Make  sure  this  is   highlighted.   Press  Enter
• 8.       This  screen  appears  with   the  final  answer.     The  answer  in  the  first   row,  fourth  column  is  x.   The  answer  in  the  second   row,  fourth  column  is  y.   The  answer  in  the  third   row,  fourth  column  is  z.   Answer:  (5,  -­‐1,  -­‐2)       *If  answer  appears  that   looks  like  this  it  is  a  No   Solution  Answer             *If  answer  appears  that   looks  like  this,  it  is   Infinitely  many  Solutions     If  there  is  a  number   other  zero  here,  then   it  is  a  No  Solution   Answer     If  a  row  shows  as  all   zeros,  there  is   infinitely  many   solutions