Try to learn something about everything, and everything about somethingThomas Huxley “Darwin's bulldog” (1824-1895)

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public:calculator:guides:dm32_simultaneos_equations [17/04/26 19:06 BST] – [Use] johnpublic:calculator:guides:dm32_simultaneos_equations [18/04/26 06:53 BST] (current) – [Use] john
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 '' ''
 +
  
 This is effectively This is effectively
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 The unknown matrix is obtained by multiplying ''B'' by the ''inverse of A'' The unknown matrix is obtained by multiplying ''B'' by the ''inverse of A''
  
 +They are entered sequentially in the order 
  
 +''ABCDEFGHIJKL''
  
 ===== Use ===== ===== Use =====
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   * Enter each value at the prompt followed by <key>R/S</key>   * Enter each value at the prompt followed by <key>R/S</key>
   * Once all values ''A'' -> ''L'' are entered you can    * Once all values ''A'' -> ''L'' are entered you can 
-    * find the determinant of the coefficient matrix with prog ''D'' (not required for a simple solution, but might be useful for other purposes?) +    * find the determinant of the coefficient matrix with prog ''D'' 
-    * find the inverse of the coefficient matrix A with prog. ''I''+      * this is not required for a simple solution, but might be useful for other purposes? 
 +    * **I**nvert the coefficient matrix A with prog. ''I''
       * <key>XEQ</key> <key>'I'</key>       * <key>XEQ</key> <key>'I'</key>
-    * Multiply the column vector by this inverse matrix using prog. M+    * **M**ultiply the column vector by this inverse matrix using prog. ''M''
       * <key>XEQ</key> <key>'M'</key>       * <key>XEQ</key> <key>'M'</key>
       * This gives the resulting ''X'', ''Y'' and ''Z'' by pressing <key>R/S</key> to step through them       * This gives the resulting ''X'', ''Y'' and ''Z'' by pressing <key>R/S</key> to step through them
  
-===== Example =====+===== Examples ===== 
 + 
 +==== 3 x 3 ==== 
 + 
 +A system of equations with 3 unknowns ''x'', ''y'' and ''z'' 
  
 ''23x + 15y + 17z = 31'' ''23x + 15y + 17z = 31''
  
-''8x + 11y - 6z = 17''+'' 8x + 11y -  6z = 17''
  
-''4x + 15y + 12z = 14''+'' 4x + 15y + 12z = 14''
  
 <note> <note>
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-{{tag>calculatordm32}}+{{tag>calculator dm32}}
  
 Page created  : 17/04/26 18:10 BST Page created  : 17/04/26 18:10 BST

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