Back to the other programs matrix manipulations

4.4 Matrix manipulation matrix multiplikation and inversion

Call Animal model. or inbreeding and inversion and other matrix programss. 

   ... Matrix 1  ...                         ....Matrix 2....                               .... Result matrix...

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Eksample


Matrix P * vektor x is equal vector y

P*x = y having the slolution x = P**-1 * y Invertir først the matrix P and then multiply the invers by the vector y - the order is shown below 

 
       - x -
      1 .5 .5
     .5  1  0
     .5  0  2   put this in the imput aerea 1 and pres invertir botton
              
The inverse Matrix
1.60 -0.80 -0.40
-0.80 1.40 0.20
-0.40 0.20 0.60  move the inverse to imput aerea 1, diget set to 2
 -
- y -
3
5
4      move the y vector to imput aera 2 and pres  matrix multply botton
- x -
product 3 * 1 

-1 
5 
2      the result  of the invers matrix (above) x * y you find  in the result aerea

transpose
1 5 3
dimension 
1 - 3 
transposed 
1 
5     the result yo find in the result aere
2

Remember to make an inverse the matrix has to be positive definit. It means there should exist a solution. A relatiship matrix is always.

Remember when multiplying two matrices the number of columns in the first one shall be equal to the number of rows in the second one. Back to the other programs