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documentation:language_reference:objects:matrix:start [2018/08/06 11:23] – created Simon Heinzedocumentation:language_reference:objects:matrix:start [2018/09/25 14:53] (current) – Added Code Example Simon Heinze
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 ### ###
-The object Matrix defines matrices, i.e. Tables of Tables.+The object Matrix defines matrices, i.e. tables of tables, and defines the standard lua math operations (+,-,*,/,^) among other functionalities on them. When creating a table-table object in Lua one has to tell the language that this is supposed to be a matrix. This is done by setting the metatable MatrixMeta. 
 + 
 + 
 +<code Quanty Example.Quanty> 
 +--This creates a table of tables 
 +A = {{1,  14 }, 
 +     {33, 4.7}} 
 +B = {{3,  1.6 }, 
 +     {5,  7}} 
 +--This defines functionalities like addition or multiplication on M 
 +setmetatable(A, MatrixMeta) 
 +setmetatable(B, MatrixMeta) 
 + 
 +print("") 
 +print("A + B") 
 +print(A + B) 
 + 
 +print("") 
 +print("A - B") 
 +print(A - B) 
 + 
 +print("") 
 +print("A * B") 
 +print(A * B) 
 + 
 +--This is equivalent to A * Matrix.Inverse(B) 
 +print("") 
 +print("A / B") 
 +print(A / B) 
 + 
 +--This is equivalent to Matrix.Inverse(A) 
 +print("") 
 +print("1 / A") 
 +print(1 / A) 
 + 
 +print("") 
 +print("A^2") 
 +print(A^2) 
 +</code>
 ### ###
 +
 +<file Quanty_Output>
 +A + B
 +{ { 4 , 15.6 } , 
 +  { 38 , 11.7 } }
 +
 +A - B
 +{ { -2 , 12.4 } , 
 +  { 28 , -2.3 } }
 +
 +A * B
 +{ { 73 , 99.6 } , 
 +  { 122.5 , 85.7 } }
 +
 +A / B
 +{ { -4.8461538461538 , 3.1076923076923 } , 
 +  { 15.961538461538 , -2.9769230769231 } }
 +
 +1 / A
 +{ { -0.010277717034769 , 0.030614476273781 } , 
 +  { 0.072162694073912 , -0.0021867483052701 } }
 +
 +A^2
 +{ { 463 , 79.8 } , 
 +  { 188.1 , 484.09 } }
 +
 +</file>
  
  

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