Search Member List Calendar HelpWelcome back, jacy0166. You last visited: 09-26-2020, 06:57Current time: 09-28-2020, 01:47 AMAM (User CP — Log Out)View New Posts | View Today's Posts | Private Messages (Unread 0, Total 0)Open Buddy ListHP Forums / HP Calculators (and very old HP Computers) / General Forum / HP-35S 3x3matrix inversion via keyboard HP-35S 3x3 matrix inversion via keyboardThreaded Mode | Linear Mode02-02-2015, 07:29 PMPost: #1Rick314 Posts: 19Junior MemberJoined: Oct 2014HP-35S 3x3 matrix inversion via keyboardThe \inverse of a 3x3 matrix. (I found HP-35S matrix programs online, but not this keyboard tip.Feel free to provide a link if it is already posted.) The function works by entering 12 realvalues to solve 3 equations in 3 unknowns for (x, y, z):A*x + B*y + C*z = DE*x + F*y + G*z = HI*x + J*y + K*z = LUsing matrix notation:Code:+- -+ +- -+ +- -+| A B C | | x | | D || E F G | * | y | = | H || I J K | | z | | L |+- -+ +- -+ +- -+ +- -+ +- -+ ^-1 +- -+ | x | | A B C | | D | | y | = | E F G | * | H | | z | | I J K | | L | +- -+ +- -+ +- -+By doing the \es with the following D H L values, the columnsof the inverse matrix can be displayed.Code:+- -+ +- -+ +- -+| 1 | | 0 | | 0 || 0 | | 1 | | 0 || 0 | | 0 | | 1 |+- -+ +- -+ +- -+For example, to findCode:+- -+ ^-1 +- -+| 8 1 9 | | -0.762 2.238 -0.619 || 4 2 5 | = | -0.619 1.381 -0.190 || 3 6 7 | | 0.857 -2.143 0.571 |+- -+ +- -+do the following:Code:DISPLAY FIX 3EQNRepeat ^ or v until \SOLVE8 R/S 1 R/S 9 R/S 1 R/S4 R/S 2 R/S 5 R/S 0 R/S3 R/S 6 R/S 7 R/S 0 R/S\v \The same thing can be done for 2x2 matrices using the \ 02-03-2015, 02:14 AMPost: #2Thomas Klemm Posts: 1,447Senior MemberJoined: Dec 2013RE: HP-35S 3x3 matrix inversion via keyboardRick314 Wrote: (02-02-2015 07:29 PM)Using matrix notation:Code:+- -+ +- -+ +- -+| A B C | | x | | D || E F G | * | y | = | H || I J K | | z | | L |+- -+ +- -+ +- -+Just wanted to let you know that this forum supports LaTeX:?ABC?FG??E????x???D?I?y??=??H?JKzL?As I'm not fluent I often use this online LaTeX equation editor.Kind regardsThomas ? Next Oldest | Next Newest ? Enter Keywords Search Thread View a Printable VersionSend this Thread to a FriendSubscribe to this threadUser(s) browsing this thread: jacy0166 Contact Us | The Museum of HP Calculators | Return to Top | Return to English (American)Content | Lite (Archive) Mode | RSS SyndicationForum software: My BB, ? 2002-2020 My BB Group. Go
HP-35S 3x3 matrix inversion via keyboard
