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 19:01 BST] – [Overview] 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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   * <key>XEQ</key> <key>'A'</key>   * <key>XEQ</key> <key>'A'</key>
   * 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 find the inverse of the coefficient matrix A with prog. I +  * Once all values ''A'' -> ''L'' are entered you can  
-    * <key>XEQ</key> <key>'I'</key> +    * find the determinant of the coefficient matrix with prog ''D'' 
-  Multiply the column vector by this inverse matrix using prog. M +      * this is not required for a simple solution, but might be useful for other purposes? 
-    * <key>XEQ</key> <key>'M'</key> +    * **I**nvert the coefficient matrix A with prog. ''I'' 
-  * This gives the resulting ''X'', ''Y'' and ''Z'' by pressing <key>R/S</key> to step through them+      * <key>XEQ</key> <key>'I'</key> 
 +    * **M**ultiply the column vector by this inverse matrix using prog. ''M'' 
 +      * <key>XEQ</key> <key>'M'</key> 
 +      * This gives the resulting ''X'', ''Y'' and ''Z'' by pressing <key>R/S</key> to step through them 
 + 
 +===== Examples ===== 
 + 
 +==== 3 x 3 ==== 
 + 
 +A system of equations with 3 unknowns ''x'', ''y'' and ''z''
  
-===== Example ===== 
  
 ''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>
-You enter each value in sequence going **down the columns** which is the opposite sense to the way matrices are entered in DM15L and DM41X + 
 +Beware! 
 + 
 +You enter each value in sequence going **down the columns** in sequence 
 + 
 +Which is the opposite sense to the way matrices are entered in DM15L and DM41X  
 </note> </note>
  
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-{{tag>}}+{{tag>calculator dm32}}
  
 Page created  : 17/04/26 18:10 BST Page created  : 17/04/26 18:10 BST

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