(15C) Three Linear Equations in Three Unknowns - Printable Version +- HP Forums (https://www.hpmuseum.org/forum) +-- Forum: HP Software Libraries (/forum-10.html) +--- Forum: General Software Library (/forum-13.html) +--- Thread: (15C) Three Linear Equations in Three Unknowns (/thread-11926.html) |
(15C) Three Linear Equations in Three Unknowns - Gamo - 12-09-2018 12:43 PM This program solve for Simultaneous Equation in Three Unknowns. Formula used Cramer’s Rule for a 3×3 System (with Three Variables) Equations: a1(X) + b1(Y) + c1(Z) = d1 a2(X) + b2(Y) + c2(Z) = d2 a3(X) + b3(Y) + c3(Z) = d3 ------------------------------------ Procedure: [E] Initialize Display 0.000000000 briefly then 0.0000 a1 [ENTER] a2 [ENTER] a3 [R/S] b1 [ENTER] b2 [ENTER] b3 [R/S] c1 [ENTER] c2 [ENTER] c3 [R/S] d1 [ENTER] d2 [ENTER] d3 [R/S] [D] Answer Determinant // If 0 "No Solution" [A] Answer X [B] Answer Y [C] Answer Z -------------------------------------- Example: x - 8y + z = 4 -x + 2y + z = 2 x - y + 2z = -1 [E] 0.000000000 briefly then 0.00 // Initialize 1 [ENTER] 1 [CHS] [ENTER] 1 [R/S] display 1 8 [CHS] [ENTER] 2 [ENTER] 1 [CHS] [R/S] display -8 1 [ENTER] 1 [ENTER] 2 [R/S] display 1 4 [ENTER] 2 [ENTER] 1 [CHS] [R/S] display 4 [D] display -20.0000 // Determinant [A] display -3.0000 // Answer X [B] display -0.8000 // Answer Y [C] display 0.6000 // Answer Z ------------------------------------------------------ Program: Set Memory Reallocation as needed by this program. 13 f [DIM] [(i)] Check to see require Memory Usage have set correctly Press g then press and hold [MEM] display 13 14 24-4 Code:
Gamo RE: (15C) Three Linear Equations in Three Unknowns - Gamo - 12-12-2018 05:24 AM Using the build-in Matrix features this program help reduce the setup steps to solve for the 3x3 Matrix of Three Equations in Three Unknown. ------------------------------------- Procedure: ** (USER mode) ** [D] Input each elements follow by [R/S] from left to right to each three rows. [E] Input each elements follow by [R/S] from top to bottom the last columns. When done display show [ c 3 1 ] [R/S] Answer for X [R/S] Answer for Y [R/S] Answer for Z -------------------------------------------------- Example: FIX 4 [USER] x - 8y + z = 4 -x + 2y + z = 2 x - y + 2z = -1 [D] display 3.0000 1 [R/S] 8 [CHS] [R/S] 1 [R/S] 1 [CHS] [R/S] 2 [R/S] 1 [R/S] 1 [R/S] 1 [CHS] [R/S] 2 [R/S] display 2 [E] display 1.0000 4 [R/S] 2 [R/S] 1 [CHS] [R/S] display [c 3 1 ] [R/S] display -3.0000 // X [R/S] display -0.8000 // Y [R/S] display 0.6000 // Z -------------------------------------------- Program: ****[ USER mode ]**** Code:
Remark: If user like to know the Determinant of this 3x3 Matrix RCL MATRIX A MATRIX 9 Gamo RE: (15C) Three Linear Equations in Three Unknowns - Jlouis - 02-02-2019 10:39 PM Thanks, really nice |