Chapter 8. Matrices en GEL
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# Chapter 8. Matrices en GEL

Genius tiene soporte para vectores y matrices y una biblioteca dimensionable para manipulación de matrices y funciones de álgebra lineal.

## Introducir matrices

To enter matrices, you can use one of the following two syntaxes. You can either enter the matrix on one line, separating values by commas and rows by semicolons. Or you can enter each row on one line, separating values by commas. You can also just combine the two methods. So to enter a 3x3 matrix of numbers 1-9 you could do

    [1,2,3;4,5,6;7,8,9]

or

    [1, 2, 3
     4, 5, 6
     7, 8, 9]

Do not use both ';' and return at once on the same line though.

You can also use the matrix expansion functionality to enter matrices. For example you can do:

    a = [ 1, 2, 3
          4, 5, 6
          7, 8, 9]
    b = [ a,  10
          11, 12]

and you should get

    [1,   2,  3, 10
     4,   5,  6, 10
     7,   8,  9, 10
     11, 11, 11, 12]

similarly you can build matrices out of vectors and other stuff like that.

Another thing is that non-specified spots are initialized to 0, so

    [1, 2, 3
     4, 5
     6]

will end up being

    [1, 2, 3
     4, 5, 0
     6, 0, 0]

Cuando las matrices se evalúan y se recorre fila por fila, justo como el operador `M@(j)` que recorre la matriz renglón por renglón.

### Note

Tenga cuidado al utilizar «return» en expresiones dentro de corchetes `[ ]`, ya que tiene un significado ligeramente distinto en ese contexto. Comenzará una fila nueva.

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